One angle measure provided (27 degrees), to determine the lengths of the sides or the measures of the other Angles.
The triangle, we need more information about the triangle, such as the lengths of the sides or the measures of other angles. The given information, "27 degrees," only specifies one angle of the triangle, but it is not sufficient to solve the triangle completely.
To solve a triangle, we typically need at least three pieces of information, which can include side lengths, angle measures, or a combination of both. With only one angle measure provided (27 degrees), we are unable to determine the lengths of the sides or the measures of the other angles.
To fully solve the triangle, we would need additional information such as the lengths of the sides or measures of at least two more angles. Without this additional information, it is not possible to provide a complete solution or determine the lengths of the sides or the measures of the other angles in the triangle.
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can someone help with this please? i'm am bad a geometry.
As the sun moves closer to the ground, the new triangle formed will be congruent with the one shown in the picture.
What is congruency?Congruency refers to sameness and in the case of triangles it means similarity between the sides of the triangle. This means that the opposite, adjacent, and hypotenuse of the triangle are all similar to each other.
In the picture, we see that the original triangle has the hypotenuse by the right, the opposite on the left side, and the adjacent part below. As the sun comes down it assumes the same shape.
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What is the sticker price for a vehicle with the following features and costs: suggested retail price of $12,720, destination charge of $460, equipped with cruise control, defogger, and an AM/FM radio for $235, $148, and $153, respectively?
$14,480
$13,716
$13,256
$12,720
Which expressions are equivalent to 5(x+7)-3(x-4)? Select three options.
05-3x+35-12
01/x+35-11/2x+12
5(x) + (5) (7) - (3) 1×x) + (3) (4)
01/x+35-11/2x-12
Answer:
3rd option
Step-by-step explanation:
there is no division so automatically take out the second and fourth options
Neil has a bag of pluses which weights 25 kg.while putting them in the shelf ,he tore the bag and hence 1850 g of pluses fell on the floor . what's was the weight of each bag
The quantity of pulses is still there in the bag is 23150 grams.
Given that, Neil has a bag of pulses which weighs 25 kg.
We know that, 1 kg=1000 grams
Here, 25 kg = 25×1000 = 25000 grams
While putting them in the shelf, he tore the bag and hence 1850 g of pulses fell on the floor.
Quantity of pulses left in bag = 25000-1850
= 23150 grams
Therefore, the quantity of pulses is still there in the bag is 23150 grams.
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"Your question is incomplete, probably the complete question/missing part is:"
Neil has a bag of pulses which weighs 25 kg. While putting them in the shelf, he tore the bag and hence 1850 g of pulses fell on the floor. What quantity of pulses is still there in the bag?
Which graph represents the solution of y ≤ x^2 + 1 and x > y^2 – 5?
The graph that represents the given inequalities are attached below.
To find the solution graph of the inequalities y ≤ x² + 1 and x > y² – 5, you would first graph the equations y = x² + 1 and x = y² – 5 separately.
The inequality [tex]y \leq x^2 + 1[/tex] represents the shaded region below the graph of the equation y = x² + 1.
This region includes the curve and all the points below it.
The inequality x > y² – 5 represents the shaded region to the right of the graph of equation x = y² – 5. This region includes the curve and all the points to the right of it.
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In the figure mZ1= (3x) and mZ2=(x+72)
The measure of angle Z1 is equal to 3 times the value of x, and the measure of Angle Z2 is equal to x plus 72.
The measure of angle Z1 is equal to 3 times some value x, and the measure of angle Z2 is equal to the sum of that value x and 72.
To clarify, it seems that we are dealing with two angles, Z1 and Z2, and their measures are expressed in terms of a variable x.
the given information:
- mZ1 = 3x
- mZ2 = x + 72
These equations indicate that the measure of angle Z1 is equal to 3 times the value of x, and the measure of angle Z2 is equal to x plus 72.
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Let: R = It will rain this evening, B = The barometric pressure is dropping, T = The temperature is below 50 degrees F, S = It will snow this evening.
Choose the formula that represents the following probability: "The probability that it will not snow this evening conditional on the barometric pressure dropping."
The Probability of no snow that the barometric pressure is dropping.
The formula that represents the probability "The probability that it will not snow this evening conditional on the barometric pressure dropping" is P(¬S | B).
In this formula:
- P(¬S | B) represents the probability of "not snowing (¬S)" given that "the barometric pressure is dropping (B)."
- The vertical bar | indicates conditional probability.
This formula calculates the likelihood of it not snowing this evening when we know that the barometric pressure is dropping. It considers the condition of the barometric pressure dropping and calculates the probability of it not snowing under that condition.
It's important to note that the symbol ¬ represents negation or "not," and in this context, ¬S represents "not snowing." Therefore, P(¬S | B) quantifies the probability of it not snowing given that the barometric pressure is dropping Conditional probability allows us to adjust the likelihood of an event based on the occurrence of another event. In this case, we are interested in determining the probability of no snow given the information that the barometric pressure is dropping.
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Help!! a^n+3 -3a^n+2 -4a^n+1 -a^n by -a^n x²
[tex] \bold{a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n} \: \: by \: \: - a {}^{n} \: \: x {}^{2} }[/tex]
Step by step explanation :Case of multiplication of a Polynomial by a monomial. The rule says that, to multiply the monomial by each of the terms of the polynomial, taking into account the law of signs, separating the partial products with their own signs. That is, we apply the Distributive Law of multiplication.
Then, we will solve by Distributive law.
[tex]\bold{(a {}^{n + 3} - 3a {}^{n + 2} - 4a {}^{n + 1} - a {}^{n})( \: \: - a {}^{n} \: \: x {}^{2} ) }[/tex]
[tex] \sf{a {}^{n + 3}( - a {}^{n}x {}^{2}) - 3a {}^{n + 2}( - a {}^{n}x {}^{2}) - 4a {}^{n + 1} ( - a {}^{n} x {}^{2} ) - a {}^{n} ( - a {}^{n} x {}^{2}) }[/tex]
[tex] \sf{ - 1 \cdot 1a {}^{n + 3 + n}x {}^{2} + 3 \cdot1 a{}^{n + 2 + n}x {}^{2} + 4 \cdot1a {}^{n + 1 + n}x {}^{2} + 1 \cdot1a {}^{n + 2}x {}^{2} }[/tex]
[tex]\bold{ Answer}=\sf{- a {}^{2n + 3} x {}^{2} + 3a {}^{2n + 2}x {}^{2} + 4a {}^{2n + 2}x {}^{2} + a {}^{2n} x {}^{2}} [/tex]
Gershoms,willy and fedrick jog around a circular temple.they complete their rounds in 24seconds,48seconds and 42seconds respectively. After how many minutes will they be together at the starting point
To find the time when they will be together at the starting point, we need to find the least common multiple (LCM) of their individual times.
The LCM of 24, 48, and 42 can be found by prime factorizing each number:
24 = 2^3 × 3
48 = 2^4 × 3
42 = 2 × 3 × 7
The LCM is the product of the highest powers of all the prime factors involved:
LCM = 2^4 × 3 × 7 = 168
Therefore, they will be together at the starting point every 168 seconds.
To convert this to minutes, we divide by 60:
168 seconds ÷ 60 = 2.8 minutes
Therefore, they will be together at the starting point every 2.8 minutes.
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What One Plus One? 1+1=?
The equivalent value of the equation A = 1 + 1 = 2
Given data ,
Let the equation be represented as A
Now , the value of A is
A = one plus one
On writing the expression in numerical form , we get
A = 1 + 1
On simplifying , we get:
And , the number line representation of the equation is
The "=" sign and terms on both sides must always be present when writing an equation.
A = 1 + 1 = 2
Therefore , the value of A is 2
where the value of A can be calculated from the distributive property as
A = 2 x 1
On simplifying the expression , we get
A = 2
Therefore , the value of A = 2
Hence , the equation is A = 2
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Choose all the ways that show 2.56.
2 ones + 5 tenths + 6 hundredths
O2 ones + 56 tenths
2 ones + 50 tenths + 6 hundredths
25 tenths + 6 hundredths
The correct ways to represent 2.56 are options 1 and 3: 2 ones + 5 tenths + 6 hundredths and 2 ones + 50 tenths + 6 hundredths.The representation of the number 2.56 can be expressed in different ways depending on the place value of each digit.
Let's evaluate each option:
2 ones + 5 tenths + 6 hundredths: This representation correctly shows 2 ones, 5 tenths, and 6 hundredths, which sums up to 2.56.
02 ones + 56 tenths: This representation is not accurate since the leading zero in the ones place does not affect the value of the number. Therefore, this option is incorrect.
2 ones + 50 tenths + 6 hundredths: This representation is accurate as it includes 2 ones, 50 tenths, and 6 hundredths, which totals to 2.56.
25 tenths + 6 hundredths: This representation is incorrect as it only accounts for tenths and hundredths, not including the ones place. Thus, this option does not correctly represent the number 2.56.
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If samuel has 63 apples and wants to divide them between 7 kids, how would he be able to accomplish that?Just kafd
Answer:
9
Step-by-step explanation:
so basically, the paragraph states that he has 63 apples and wants to divide them between 7 kids
This shows a clear example of simple division
In this case...
63 divided by 7 equals 9
I hope this helps!!
Answer: He would give 9 apples to each kid.
Step-by-step explanation:
We are given that Samuel has 63 apples.
We are also given that he wants to divide them between 7 kids.
To solve this you would create a division problem:
63 ÷ 7 = ?
You can solve this by completing long division or using a calculator.
You find that 7 * 9 = 63
63 ÷ 7 = 9
You can also draw 63 apples (or circles) and divide them into 7 groups. The result will be that each group will have 9 apples.
A density graph for all of the possible times from 50 seconds to 200 seconds
can be used to find which of the following?
OA. The probability of a time from 150 seconds to 250 seconds
OB. The probability of a time from 75 seconds to 250 seconds
OC. The probability of a time from 75 seconds to 150 seconds
OD. The probability of a time from 25 seconds to 150 seconds
The Probability of a time from 25 seconds to 150 seconds
To determine which option can be found using the given density graph, we need to understand the concept of probability and how it relates to a density graph.
A density graph represents the probability distribution of a continuous random variable. The area under the density graph within a specific interval corresponds to the probability of the variable falling within that interval.
Let's analyze the given options one by one:
OA. The probability of a time from 150 seconds to 250 seconds.
To find this probability, we need to determine the area under the density graph between 150 seconds and 250 seconds. However, the given density graph only provides information from 50 seconds to 200 seconds, so we cannot accurately determine the probability for this interval. Therefore, option OA cannot be found using the given graph.
OB. The probability of a time from 75 seconds to 250 seconds.
Again, to find this probability, we need to calculate the area under the density graph between 75 seconds and 250 seconds. Since the given density graph only covers up to 200 seconds, we cannot accurately determine the probability for this interval. Thus, option OB cannot be found using the given graph.
OC. The probability of a time from 75 seconds to 150 seconds.
Now, we can determine the probability for this interval by calculating the area under the density graph between 75 seconds and 150 seconds. As long as this interval falls within the range covered by the graph (50 seconds to 200 seconds), we can accurately find the probability for it. Therefore, option OC can be determined using the given graph.
OD. The probability of a time from 25 seconds to 150 seconds.
Since the density graph only covers the range from 50 seconds to 200 seconds, we cannot determine the probability for an interval starting at 25 seconds. Therefore, option OD cannot be found using the given graph.
In conclusion, based on the information provided, option OC (the probability of a time from 75 seconds to 150 seconds) can be determined using the given density graph.
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An interior designer is redecorating a room that is 26 feet long by 18 feet wide by 9 feet high. At one end of the room is a door that is 6 feet 6 inches high and 4 feet wide. One of the walls contains 2 windows, each of which is 2 feet wide by 2 feet 6 inches high.
A: How much will it cost to carpet the floor if the carpet sells for $18.00 a square yard? $
B: How much will it cost to wallpaper all four walls if wallpaper costs $0.75 per square foot? $
C: How much will it cost to paint the ceiling using paint that sells for $25 per gallon if a quart of paint will cover 88 square feet? $
D: What will be the cost of the entire project? $
Answer: A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
Step-by-step explanation:
To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.
Given dimensions:
Room length: 26 feet
Room width: 18 feet
Room height: 9 feet
Door dimensions:
Height: 6 feet 6 inches
Width: 4 feet
Window dimensions (each):
Width: 2 feet
Height: 2 feet 6 inches
A: Carpeting the floor:
To find the area of the floor, we multiply the length and width of the room:
Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.
To convert to square yards (since the carpet is sold per square yard), we divide by 9:
Floor area in square yards = 468 square feet / 9 = 52 square yards.
Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.
B: Wallpapering the walls:
To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:
Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.
Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.
C: Painting the ceiling:
To find the area of the ceiling, we multiply the length and width of the room:
Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.
Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:
Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.
Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.
Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.
D: Cost of the entire project:
Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling
= $936.00 + $297.00 + $33.25 = $1266.25.
Therefore:
A: It will cost $936.00 to carpet the floor.
B: It will cost $297.00 to wallpaper all four walls.
C: It will cost $33.25 to paint the ceiling.
D: The cost of the entire project will be $1266.25.
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How can I get the number 10 , by only using 1,6 and 7 
Answer:
7 + 1 + 1 + 1 = 10
Step-by-step explanation:
This question is not very clear as to what is required, or any possible limitations. One possible solution is listed below, hope it does help.
Using the numbers 1, 6, and 7, you can get the number 10 through the following equation:
7 + 1 + 1 + 1 = 10
By adding 7 with three instances of 1, you obtain 10.
help w geometry.. will give brainliest answer
Answer:
x=7
m<CBD=46° m<BDC=65°
m<BCD=69° m<JBC=134°
It is a scalene or acute triangle
Step-by-step explanation:
19x+1=9x+6+65
19x=9x=6+65-1
10x=70
x=7
m<CBD=180-(9(7)+6+65)
m<CBD=46
m<BDC is given. 65
m<BCD=9(7)+6
m<BCD=69
m<JBC=19(7)+1
m<JBC=134
(Also, can do 180-46=134)
All three sides are different and all three angles are less than 90. Therefore, it is a scalene or acute triangle
What is the value of x? In a triangle JKL, PQ is parallel line to JL. The length of JP is 3 and length of PK is x - 6. The length of QL is 5 and length of KQ is x.
A. √ 3
B. √21
C. 9
D. 15
A vehicle is using fuel at a constant rate, using 5 gallons every 7 miles.
What is the unit rate of miles per gallon?
Answer: 5:7
Step-by-step explanation:
If it uses 5 gallons every 7 miles, that's literally the answer in itself.
Answer: 1.4 MPG (Miles per Gallon)
Step-by-step explanation:
Divide 7 miles by 5 gallons to get 1.4 MPG
Miles/Gallons = MPG
7/5 = 1.4
Done! :)
Jill has graded 45% of her assessments. She has 27 assessments graded, how many total assessments does she need to gradE?
Answer:
Step-by-step explanation:
let total number of assessments = x
45% of total assessments = 27
(45/100)*x =27
x=60
The formula for an account that earns
compound interest is Pt = P0 ⋅ (1 + r)
t
,
where Pt
represents the balance in the
account after t years, P0 represents the
initial amount of the deposit, and r
represents the interest rate.
Carrie is considering depositing $1480 into
an account that pays compound interest.
How much will be in her account if she
receives 1.9% compound interest for
10 years? Round to the nearest cent.
After 10 years with a Compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
The amount that will be in Carrie's account after 10 years with compound interest, we can use the formula Pt = P0 ⋅ (1 + r)^t.
Given:
P0 = $1480 (initial deposit)
r = 1.9% = 0.019 (interest rate as a decimal)
t = 10 (number of years)
Substituting these values into the formula, we get:
Pt = $1480 ⋅ (1 + 0.019)^10
Using a calculator, we can evaluate the expression inside the parentheses:
(1 + 0.019)^10 ≈ 1.201223
Now we can calculate the final amount in Carrie's account:
Pt ≈ $1480 ⋅ 1.201223
Pt ≈ $1777.87
Therefore, after 10 years with a compound interest rate of 1.9%, the amount in Carrie's account will be approximately $1777.87.
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The admission fee at an amusement park is $1.50 for children and $4 for adults. On a certain day, 350 people entered the park, and the admission fees collected totaled $950.00. How many children and how many adults were admitted?
Answer:
Step-by-step explanation:
Children: x
Adults: y
x+y=350 and 1.5x+4y= 950
Solving the system of equations we get: x=180 and y=170
Let's use the following variables:
Let's call the number of children who entered the park "c"
Let's call the number of adults who entered the park "a"
We can set up two equations based on the information given:
The total number of people who entered the park is 350:
c + a = 350
The total admission fees collected is $950:
1.5c + 4a = 950
We can use the first equation to solve for one of the variables in terms of the other:
c = 350 - a
Now we can substitute this expression for "c" into the second equation:
1.5(350 - a) + 4a = 950
Expanding and simplifying:
525 - 1.5a + 4a = 950
2.5a = 425
a = 170
We can use this value to solve for "c" using the first equation:
c + 170 = 350
c = 180
Therefore, 180 children and 170 adults were admitted to the park.
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..................................................
Answer:
x = ±9i
Step-by-step explanation:
-405/5 = -81
sqrt(-81) = 9i
Answer: x = ±9i
Answer:
[tex]x=\pm 9\:i[/tex]
Step-by-step explanation:
The given solutions of the quadratic equation 5x² + 405 = 0 are:
[tex]x=\pm \sqrt{\dfrac{-405}{5}}[/tex]
To simplify the values of x, first divide 405 by 5:
[tex]x=\pm \sqrt{-81}[/tex]
Rewrite -81 as 9² · -1:
[tex]x=\pm \sqrt{9^2 \cdot -1}[/tex]
[tex]\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}[/tex]
[tex]x=\pm \sqrt{9^2}\sqrt{ -1}[/tex]
[tex]\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0[/tex]
[tex]x=\pm 9\sqrt{ -1}[/tex]
[tex]\textsf{Appl the imaginary number rule:}:\;\sqrt{-1}=i[/tex]
[tex]\boxed{x=\pm 9\:i}[/tex]
Therefore, the equivalent solutions to the given quadratic are x = ±9i.
There are 4 pink, 5 yellow, 2 violet and 3 gray marbles
in a hat. You pick 2 marbles from the hat. Marbles are
NOT returned to the hat.
P(pink, then violet)
P(gray, then gray)
P(not yellow, not yellow)
P(yellow, not yellow)
================================================
Work Shown for problem 1
P(pink, then violet) = P(pink)*P(violet given 1st was pink)
= (4/14)*(2/13)
= 8/182
= 4/91
------------------------------
Work Shown for problem 2
P(gray, then gray)
= P(gray)*P(gray given 1st was gray)
= (3/14)*(2/13)
= 6/182
= 3/91
-------------------------------
Work Shown for problem 3
P(not yellow, not yellow)
= P(not yellow)*P(not yellow given 1st was not yellow)
= (9/14)*(8/13)
= 72/182
= 36/91
-------------------------------
Work Shown for problem 4
P(yellow, not yellow)
= P(yellow)*P(not yellow given 1st was yellow)
= (5/14)*(9/13)
= 45/182
sketch the parabola y = f(x) which has the following properties:
1. f(-3) = 0
2. f(0) = 6
3. f(-1) = 0
4. f(x) > 0 when x < -1
5. f(x) < 0 when x > -1
Based on the given properties, we can sketch the parabola y = f(x) as follows:
1. The first property, f(-3) = 0, tells us that the parabola has an x-intercept at x = -3.
2. The second property, f(0) = 6, tells us that the parabola has a y-intercept at y = 6.
3. The third property, f(-1) = 0, tells us that the parabola has another x-intercept at x = -1.
4. The fourth and fifth properties tell us that the parabola is positive (above the x-axis) when x < -1 and negative (below the x-axis) when x > -1.
Based on these properties, we can sketch a parabola that opens downward with x-intercepts at x = -3 and x = -1 and a y-intercept at y = 6. The vertex of the parabola would be located at the midpoint of the two x-intercepts, which is (-3 + (-1)) / 2 = -2. Since the parabola opens downward and has a y-intercept of 6, the vertex must be located above the y-intercept.
Here is one possible sketch of the parabola y = f(x) based on the given properties:
Answer:
See attachment.
Step-by-step explanation:
The x-intercepts of a function are the points at which the curve crosses the x-axis, so when f(x) = 0.
Given f(-3) = 0 and f(-1) = 0, this indicates that the two x-intercepts of the parabola y = f(x) are x = -3 and x = -1.
For a parabola that opens upwards:
f(x) > 0 for the x-values either side of the the x-intercepts.f(x) < 0 for the x-values between the the x-intercepts.
For a parabola that opens downwards:
f(x) < 0 for the x-values either side of the the x-intercepts.f(x) > 0 for the x-values between the the x-intercepts.
The x-intercepts are x = -1 and x = -3.
Given that f(x) > 0 when x < -1, and f(x) < 0 when x > -1, this indicated that the parabola opens upwards.
The y-intercept is the point at which the curve crosses the y-axis, so when x = 0. Given f(0) = 6, this indicates that the y-intercept is y = 6.
The x-value of the vertex is the midpoint of the two x-intercepts.
Given the x-intercepts are x = -3 and x = -1, then the x-value of the vertex of the parabola is x = -2.
To find the y-value of the vertex, we need to create the equation of the function and substitute x = -2 into it.
Substitute the x-values into the intercept formula:
[tex]\boxed{\begin{minipage}{6 cm}\underline{Intercept form of a quadratic equation}\\\\$y=a(x-p)(x-q)$\\\\where:\\ \phantom{ww}$\bullet$ $p$ and $q$ are the $x$-intercepts. \\ \phantom{ww}$\bullet$ $a$ is the leading coefficient.\\\end{minipage}}[/tex]
[tex]y=a(x-(-3))(x-(-1))[/tex]
[tex]y=a(x+3)(x+1)[/tex]
To find the value of a, we can substitute the given point (0, 6) into the equation:
[tex]6=a(0+3)(0+1)[/tex]
[tex]6=a(3)(1)[/tex]
[tex]6=3a[/tex]
[tex]a=2[/tex]
Substitute the found value of a into the equation and expand to standard form:
[tex]y=2(x+3)(x+1)[/tex]
[tex]y=2(x^2+4x+3)[/tex]
[tex]y=2x^2+8x+6[/tex]
To find the y-value of the vertex, substitute x = -2 into the equation of the parabola:
[tex]y=2(-2)^2+8(-2)+6=-2[/tex]
Therefore, the vertex of the parabola is (-2, -2).
Sketch an upwards opening parabola with:
x-intercepts at x = -3 and x = -1.Vertex at (-2, -2).y-intercept at y = 6.The x-value of the vertex is the axis of symmetry. Therefore, ensure your parabola has symmetry about the vertical line x = -2.
[tex]\hrulefill[/tex]
Please note that there is likely an error in the properties you have been given. If the y-intercept is positive, and both x-intercepts are negative, the parabola opens upwards. Therefore, f(x) > 0 when x > -1, and f(x) < 0 when x < -1.
what similarity is it when triangles are similar if they have two congruent angles
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
What is the value of two in 0.259?
The value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.
In the decimal number 0.259, the value of two depends on its position or place within the number. Each digit in a decimal number represents a different place value, starting from the left with the tenths place, hundredths place, thousandths place, and so on.
Since two is in the hundredths place in the number 0.259, its value is 0.02. This means that the digit two contributes two hundredths to the total value of the number. The digit in the tenths place (5 in this case) represents five tenths, and the digit in the thousandths place (9 in this case) represents nine thousandths.
To calculate the total value of 0.259, we add up the contributions from each place value: 0.2 (for the tenths place), 0.05 (for the hundredths place), and 0.009 (for the thousandths place). Adding these values together gives us a total value of 0.259.
In summary, the value of two in 0.259 is 0.2 because it represents two hundredths or 2/100 of the total value of the number.
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AABC is dilated by a factor of 2 to produce ▲A'B'C'. Which statement is not true? 62⁰ 34 16 A 28° 30
The statement that is not true is (a) A = 74 degrees
How to determine which statement is not true?From the question, we have the following parameters that can be used in our computation:
The dilation of ABC by a scale factor of 2
This means that
Scale factor = 2
The general rule of dilation is that
Corresponding sides are similar i..e they have the same ratioCorresponding angles are equalusing the above as a guide, we have the following:
AC = 2 * 5 = 10
C = 53 degrees
BC = 2 * 3 = 6
A = 37 degrees
Hence, the statement that is not true is (a) A = 74 degrees
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A submarine dives to a depth of 3775 m. It then climbs to a depth of 1395 m before descending one more time to a depth of 2890 m. How many meters in total has the submarine dived? What is the total distance (up and down) it has travelled? (Include the first descent in your calculations).
Answer:
5270 m
Step-by-step explanation:
It first went down 3775 m.
The it went down 1495 (2890 - 1395)
3775 + 1495 = 5270
Answer:
dived 5270 below sea level
total distance traveled is 8060
Step-by-step explanation:
-3775+1395-2890
3775+1395+2890
A sales manager of a large insurance company collects the data on annual insurance sales ($1000s) and years
of experience of salespersons. (a) Define explanatory and response variables.
Answer:
Explanatory variable: Years of experience
Response Variable: Annual insurance rates
Step-by-step explanation:
As the years of experience increase, the annual insurance sales also increase. So annual insurance rates depend on the years of experience.
Consequently, years of experience is the explanatory variable while insurance rates is the response variable
Answer here:Assume the triangular prism has a base area of 36 cm² and a volume of 432 cm³. What base side length does the rectangular prism need to have the same volume?
Answer:
18 cm
Step-by-step:
The formula for the volume of a triangular prism is given by:
V_triangular_prism = (1/2) * base * height * length
where the base is the area of the base triangle, height is the perpendicular distance between the two parallel base planes, and length is the distance between the two triangular faces.
We are given that the base area of the triangular prism is 36 cm² and the volume is 432 cm³. Using these values, we can solve for the height:
432 = (1/2) * 36 * height * length
height * length = 24
Since we want to find the base side length of a rectangular prism that has the same volume, we can use the formula for the volume of a rectangular prism:
V_rectangular_prism = length * width * height
We know that the volume of the rectangular prism is also 432 cm³, so we can substitute this value and the value we found for the height * length product:
432 = length * width * height
432 = length * width * (24/length)
432 = 24 * width
width = 18
Therefore, the base side length of the rectangular prism needs to be 18 cm.
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