Answer: 71.57
Step-by-step explanation:
You are going to use SOH CAH TOA to find the angle
because the opposite and adjacent are the sides from the reference angle use TOA (tanΘ=opp/adj)
TanΘ=[tex]\frac{9}{3}[/tex]
now use that tan^-1 (9/3) on your calculator (make sure your calc is in degree mode)
71.57
CAN SOMEONE ANSWER THIS FAST I NEED IT IN 5 MINUTES.
Oak Street and Elm Street run parallel to each other. When Main Street intersects them, it forms interior ∠3, measuring 110°. What is the measure of ∠5?
O A. 70°
O B. 80°
O C. 110°
O D. 20°
The measure of the angle 5 is 70 degrees. Option A
What is a transversal line?A transversal line can be defined as a line intersecting two or more lines at distinct or different points.
The properties of a transversal are;
When a transversal cuts two parallel lines, they are made to be corresponding angles and are equal in measure.When transversal cuts two parallel lines, they become alternate interior angles and are congruent to each other.From the information given, we have that;
<3 = 110 degrees
Note that angles on a straight line measures 180 degrees
Then, we have;
<3 + <5 = 180
substitute the values
110 + <5 = 180
collect like terms
< 5 = 70 degrees
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The analysis of a random sample of 500 households in a suburb of a large city indicates that a 98% confidence interval for the mean family income is ($41,300, $58,630). What is the point estimate used to create this interval?
The point estimate for the family income is $49,965
Explain point estimate
A point estimate is a single value that is used to estimate an unknown parameter of a population based on a sample from that population. It is calculated from the sample data and provides a single best guess for the parameter, but may not always be an exact or accurate representation of the true value.
According to the given information
The midpoint of the confidence interval is the point estimate for the mean family income. To find the point estimate, we take the average of the upper and lower limits of the confidence interval:
Point estimate = (lower limit + upper limit) / 2
Point estimate = ($41,300 + $58,630) / 2
Point estimate = $49,965
Therefore, the point estimate used to create this interval is $49,965.
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72:12 ratios simplified
Answer:
6 : 1Step-by-step explanation:
72:12 ratios simplified
ratio = fraction = division
72 : 12 divide both side by 12
6 : 1
Find the length of the missing leg in the right triangle. Round your answer to the nearest tenth if necessary.
Answer:
5
Step-by-step explanation:
Because a^2 + b^2 = c^2, that means c^2 - b^2 = a^2, therefore:
13^2 - 12^2 = b^2
169 - 144 = b^2
25 = b^2
5 = b
Brainliest? ;)
It helps a lot! (if I get 8 more, I am in the rank of Ace!)
What are the coordinates of the x-intercept of the function?
f(x)=6+ 10/x−2
Enter your answer by filling in the boxes. Enter any fractions in simplest form.
Answer:
x = -5/2
Step-by-step explanation:
5. Suppose the statement "even numbers are divisible by 2" is true. What is the truth value of
the statement "even numbers are not divisible by 2" ?
The truth value of the statement is false
What is the truth value of the statementGiven that
The statement "even numbers are divisible by 2" is true
The above statement is a conditional statement and we can calculate the following properties for the statement
ConverseContrapositiveInverse or NegationIn this case, we are to calculate the negation of the statement
When the statement "even numbers are divisible by 2" is negated, we have
The statement "even numbers are not divisible by 2" is not true
In logic expressions,
not true means false
So, the truth value of the statement is false
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Samantha has a goal of walking 9 1/2 miles by the end of the day . She walks 3 1/4 miles before lunch and 2 1/3 miles after resting. What is the remaining distance, in miles, that Samantha needs to walk to reach her goal?
Based on the addition of fractional values, the remining distance, in miles, that Samantha needs to walk to reach her goal of walking 9¹/₂ miles by the end of the day is 3.92 miles.
How the remaining distance is determined:The remaining distance that Samantha has to walk to meet her goal can be determined using fractional subtraction.
Subtraction operation is one of the four basic mathematical operations.
Fractional subtraction involves the subtraction of fractional values.
The total number of distance to walk = 9¹/₂ miles
The distance Samantha walks before lunch = 3¹/₄ miles
The distance Samantha walks after resting = 2¹/₃ miles
The remaining distance = 3.92 miles (9¹/₂ - 3¹/₄ - 2¹/₃)
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Please solve it asap
The value of the algebraic expression x³ · (x³ - 18) is approximately - 1. (Right choice: D)
How to find the result of an algebraic expression
In this problem we need to determine the value of an algebraic expression, this can be found by algebra properties. First, write the entire expression:
x³ · (x³ - 18)
Second, clear x in the other expression:
x · (x - 3) = - 1
x² - 3 · x = - 1
x² - 3 · x + 1 = 0
x = 1.5 ± 0.5√5
Fourth, substitute in the equation of the first step:
(1.5 ± 0.5√5)³ · [(1.5 ± 0.5√5)³ - 18]
(3.375 ± 7.546 + 5.625 ± 1.398) · [(3.375 ± 7.546 + 5.625 ± 1.398) - 18]
(9 ± 8.944) · (- 9 ± 8.944)
(± 8.944)² - 9²
- 1.005
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20. A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5. 5 4 A. 15 2 5 3 B. 25 3 4 2 m 2 Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins? 5 C. 40 D. 60
A reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins is: 40 times
What is the Probability of the Spinner?We are told that Each section is labeled with a number between 1 and 5.
5 is on the spinner 3 times. The spinner is divided in 12 sections.
Thus:
[tex]\dfrac{3}{12}=\dfrac{\text{x}}{100}[/tex]
[tex]\text{x}=\dfrac{25}{100}[/tex]
Now, if there are 150 spins, it means that a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 150 spins is:
[tex]\text{P(label 5)} = \huge \text(\dfrac{25}{100} \huge \text) \times 150[/tex]
[tex]\text{P(label 5)} = 37.5[/tex]
Approximating to the nearest ten gives;
[tex]\text{P(label 5)} = 40[/tex]
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Aaron had twice as many stamps as Howard. After Howard had used up 15 stamps, Aaron had 4 times as many stamps as Howard. How many stamps did Aaron have?
Answer: 60 stamps
Step-by-step explanation:
a=2h
a=4(h-15)
2h=4(h-15)
h=2(h-15)
h=2h-30
-h=-30
h=30
a=2h
a=2*30
a=60 stamps
Question is in photo below
Answer:
$65 × 20 × 1.035 = $1,345.50
Answer:
67.275
Step-by-step explanation:
find 3.25% of 65
than add the answer to 65
Let u = <3, 3> and v = <11, 8>. Find u + V.
The sum of the given vectors is 14i+11j.
Given that are vectors u = <3, 3> and v = <11, 8> we need to find u + v,
So,
Considering the vectors, a and b in two-dimensional,
[tex]\overrightarrow{a} = x_1i+y_1j\\\overrightarrow{b} = x_2i+y_2j\\[/tex]
The following step is used to find out the vector sum of a and b;
i-component of the vector a is added with the i-component of the vector b,
j-component of the vector a is added with the j-component of the vector b,
Therefore, the sum is =
[tex]\overrightarrow{a}+\overrightarrow{b} = (x_1+x_2)i +(y_1+y_2)j[/tex]
Here,
[tex]\overrightarrow{u} = 3i+3j\\\\\overrightarrow{v} = 11i+8j[/tex]
The sum =
[tex]\overrightarrow{u}+ \overrightarrow{v} =(3i+3j)+(11i+8j)\\\\= (3+11)i + (3+8)j\\\\= 14i+11j[/tex]
Hence the sum of the given vectors is 14i+11j.
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Anwar selects a playing card at random from the following 6 cards:
{9 of hearts, 5 of spades, 6 of hearts, 2 of spades, 4 of hearts, 7 of hearts}
Let A be the event that Anwar selects an even-numbered card and B be
the event that she chooses a heart.
Which
of the following statements are true?
at apply:
Choose all answers that a
P(A|B) = P(A), the conditional probability that Anwar selects
an even-numbered card given that she has chosen a heart is equal to
the probability that Anwar selects an even-numbered card.
P(BA) = P(B), the conditional probability that Anwar selects
a heart given that she has chosen an even-numbered card is equal to
the probability that Anwar selects a heart.
Events A and B are independent events.
The outcome of events A and B are dependent on each other.
P(A and B)=P(A) - P(B). the probability that Anwar selects
a card that is even-numbered and a heart is equal to the probability
that Anwar selects an even-numbered card multiplied by the
probability that she selects a heart.
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The true statements are as follows:
P(A|B) = P(A), the conditional probability that Anwar selects an even-numbered card given that she has chosen a heart is equal to the probability that Anwar selects an even-numbered card.P(B|A) = P(B), the conditional probability that Anwar selects a heart given that she has chosen an even-numbered card is equal to the probability that Anwar selects a heart.Events A and B are independent events.The outcome of events A and B are dependent on each other.What are conditional probabilities?Conditional probability is the probability of an event or outcome occurring given that a prior event or outcome has occurred.
It is determined by multiplying the likelihood of the earlier occurrence by the increased likelihood of the later, or conditional, event.
Considering the last option:
P(A and B) = P(A) * P(B).
P(A and B) = 1/6,P(A) = 3/6P(B) = 3/6.P(A and B) = (3/6) * (3/6)
P(A and B) = 1/12,
P(A) - P(B) = 3/6 - 3/6
P(A) - P(B) = 0
Hence, P(A and B) ≠ P(A) * P(B).
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Ethan practiced lacrosse 3 1/3 hours last week. If each practice lasted 5/6 hours, how many practices did he attend?
Answer:
7 because of it invalidity
The price of a technology stock was $9.53 yesterday. Today, the price rose to $9.62. Find the percentage increase. Round your answer to the nearest tenth of a percent.
To find the percentage increase, first find the difference between the two prices:
$9.62 - $9.53 = $0.09
Then, divide the difference by the original price:
$0.09 ÷ $9.53 = 0.0094
Finally, multiply by 100 to convert to a percentage and round to the nearest tenth of a percent:
0.0094 × 100 ≈ 0.9%
Therefore, the percentage increase is approximately 0.9%.
PLEASE ANSWER AS SOON AS POSSIBLE PLEASE I REALLY NEED HELP ON THIS QUESTION
1. Find the sum of the measures of the angles 1 through 6. Explain your reason
The sum of the measures of the angles 1 through 6 is 360 degrees
Finding the sum of the measures of the angles 1 through 6Given that
The diagrams of three triangles that intersect at a point
The sum of the measures of the angles 1 through 6 can be calculated using the theorem of angles at a point
So, we have
2 * (180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6) = 360
Divide through by 2
So, we have
180 - ∠1 - ∠2 + 180 - ∠3 - ∠4 + 180 - ∠5 - ∠6 = 180
Collecting the like terms, we have
∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 180 + 180 + 180 - 180
Evaluating the like terms, we have
∠1 + ∠2 + ∠3 + ∠4 + ∠5 + ∠6 = 360
Hence, the solution is 360 degrees
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Some pls me question in picture
Redline John walk 6 yards before driving in his stake.
Blue line Paul drove 16 yards before driving in his stake.
Distance between John and Paul = 17.10
Red line represent the path john walked
1 box = 1 yard
Total number of boxes = 6
Total distance travelled = 6 yards
Blue line represent the path paul walked
1 box = 1 yard
Total number of boxes = 16
Total distance travelled = 16 yards
Using Pythagorean theorem
(hypotenuse)² = (perpendicular)² + (base)²
(hypotenuse)² = 6² + 16²
(hypotenuse)² = 36 + 216
(hypotenuse)² = 292
hypotenuse = 17.08
hypotenuse = 17.10
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the dimensions of a rectangular pyramid are shown in the diagram what is the volume of the rectangular pyramid in cubic millimeters
Answer:
Step-by-step explanation:
The volume of a rectangular pyramid is
(1/3)lwh.
Where l is the length of the base, w is the width of the base, and h is the height of the pyramid.
I can't see what the dimensions are, but I hope this helps.
Is it a function or not a function
Answer:
function
Step-by-step explanation:
y depends on the value of x
which statement about the quotient of 425.378 / 10 the power of 3 is true?
A. the decimal point is located to the left of the 4
B. the decimal point is located to the right of the 8
C. The decimal point is located between the 3 and the 7
D. The decimal point is located between the 4 and the 2
Question 3 of 10
A triangle has two sides of lengths 10 and 14. What value could the length of
the third side be? Check all that apply.
A. 26
B. 5
C. 2
D. 8
E 16
F. 10
Answer:
By the Triangle Inequality Theorem:
10 + 14 > x, so x < 24
10 + x > 14, so x > 4
We have 4 < x < 24, so B, D, E, and F are correct.
Options B, C, D and E are correct answers.
Given that, a triangle has two sides of lengths 10 and 14.
We need to find what value could the length of the third side be and check all that apply.
What is the triangle inequality theorem?
Triangle inequality, in Euclidean geometry, theorem that the sum of any two sides of a triangle is greater than or equal to the third side; in symbols, a + b ≥ c. In essence, the theorem states that the shortest distance between two points is a straight line.
Now, from the given options:
A) 10, 14, 26
10 + 14 = 24 < 26 the triangle can not be formed
B) 10, 14, 16
10 + 14 = 24 > 16 the triangle can be formed
C) 10, 10, 14
10 + 10 = 20 > 14 the triangle can be formed
D) 8, 10, 14
8 + 10 = 18 > 14 the triangle can be formed
E) 5, 10, 14
5 + 10 = 15 > 14 the triangle can be formed
F) 2, 10, 14
2 + 10 = 12 < 14 the triangle can not be formed
Therefore, options B, C, D and E are correct answers.
The graph of a function f is shown below. Find f(2)
Answer:
-2
Step-by-step explanation:
At x = 2, the graph lands on y = -2 or (2, -2)
Plot 2 1/2 and 1 5/6 on the number line below.
Answer:
2 1/2 is the third small vertical line after the 2.
1 5/6 is the first vertical line to the left of the 2.
Solve x^2+y^2-4x-6y+4=0 intersects the straightline y=x
Answer: the points of intersection are:
((5 + sqrt(17)) / 2, (5 + sqrt(17)) / 2) and ((5 - sqrt(17)) / 2, (5 - sqrt(17)) / 2)
Step-by-step explanation: A substitution of y=x in the equation can assist in determining the point of intersection with the line y=x.
2x^2-10x+4=0
A quadratic equation 2x squared minus 10x plus 4 equals zero.
The equation is x squared minus 5x plus 2 equals zero.
By applying the quadratic equation, we obtain:
One possible paraphrasing of this mathematical expression could be: The value of x can be found by adding or subtracting the square root of the difference between 5 squared and 412, and then dividing the result by 2.
One possible paraphrase: The value of x can be found by taking the solutions of the equation x^2 - 5x + 17/4 = 0, which are x = (5 + sqrt(17))/2 and x = (5- sqrt(17))/2.
Thus, the values on the x-axis where the points intersect can be identified as:
Two expressions that give the value of x are: x equals half the sum of 5 and the square root of 17, and x equals half the difference between 5 and the square root of 17.
By inserting these x-values into the equation y=x, we can obtain the corresponding y-coordinates.
Two equations yield the value of y. The first equation involves adding the square root of 17 to 5 and dividing the sum by 2. The second equation involves subtracting the square root of 17 from 5 and dividing the difference by 2 to obtain y.
PLEASE HURRY DUE TONIGHT
Mary is babysitting a 4-year-old. The little boy wants to play in the kiddie pool in the backyard. Mary knows that using the hose that is near the kiddie pool will take 30 minutes to fill up. The little boy has already asked 17 times if the pool is ready but she hasn't even turned on the water yet. Mary also knows that the hose from the front yard works faster and can fill the pool in 1/2 the time as the hose in the back yard. If she can use both hoses at the same time, how long will it take for the pool to fill up?
(PLEASE SHOW YOUR WORK)(I saw other people get 7.5 min and 75 min but those answers are incorrect.)
A. 5 minutes
B. 10 minutes
C. 22.5 minutes
The time it would take the pool to fill up when using both of the hoses at the same time is B. 10 minutes.
How to find the time taken ?First, find the time taken by the first yard hose to fill the pool:
= 30 / 2
= 15 minutes
Using this, we can find the time it would take both hoses to fill the pool when running together as:
= (1 pool / 30 minutes) + (1 pool / 15 minutes)
= (1 + 2) pools / 30 minutes
= 3 pools / 30 minutes
If they can fill 3 pools in 30 minutes, then they would fill one pool in :
= 30 / 3
= 10 minutes
In conclusion, it will take 10 minutes for the pool to fill up when using both hoses at the same time.
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What is the relationship between a central angle and its intercepted arc?
Answer: B. They have the same measure
Step-by-step explanation:
its intercepted arc are equal in measure. This means that arc HS is equal to 40 degrees. Notice that arc HS is the intercepted arc of inscribed angle HMS.
Si gano 35 pesos cada semana en cuantos meses tendre 500 pesos o un poco mas
If you earn 35 pesos each week, in 3 months you would have 500 pesos or a little more.
What is a direct proportion?In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.
By applying direct proportion to the given information, we have the following mathematical equation:
1 week = 35 pesos
x weeks = 500 pesos
By cross-multiplying, we have the following:
35x = 1 × 500
35x = 500
x = 500/35
x = 14 weeks.
Conversion:
4 weeks = 1 month
x months = 14/4 = 3 months.
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Complete Question:
If I earn 35 pesos each week, in how many months will I have 500 pesos or a little more?
Select the correct answer.
Which function has an inverse function?
○ A. f(x) = √2 + 3|
O
5
OB.
f(x)= x5-3
O c.
OD.
f(x)=+27
f(x) = 2/1/12
Answer:
A. f(x) = √2 + 3 is the answer
Solve 4cos(4x)=2
for the smallest three positive solutions.
Give your answers accurate to at least two decimal places, as a list separated by commas.
Use the monthly payment on a loan table to answer the following question.
Kaden buys a car worth $45,300, makes a down payment of $4,500, and requires a loan for the balance of the car purchase. The dealership offers financing at 4.75% compound monthly, for a term of 4 years, playable monthly.
What is Kaden’s monthy payment?
1. $1,038.28
2. $935.14
3. $1,218.29
4. $920.17
HELP ASAP!!!!
Kaden's payment is therefore around $920.17 every month.
What is payment?Payment, in the dictionary's definition, is "the action or process of paying someone or something or of being paid." It can also mean "something given as a reward .
We may use the formula for calculating monthly payments on a loan 7 to determine Kaden's monthly payment:
PMT is equal to (PV x r) / (1 - (1 + r)(-n)).
```
where:
Monthly Payment = PMT
PV stands for present value (loan amount).
- n = overall number of periods - r = interest rate per period
The following is the calculation we can use to determine Kaden's monthly payment:
PMT = (PV x r) / (1 - (1 + r)(-n)
= ($45,300 - $4,500) x (0.0475 / 12) / (1 - (1 + 0.0475 / 12)(-4 x 12)
= $920.17
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