Answers
Answer:
CFE: Right triangle.
BCE: Acute
BFG: Equilateral
GAF: Obtuse
Step-by-step explanation:
Remember the types of triangles, first the CFE creates a right angle, which is a 90º angle between two of the sides that would be where F is located, so that would be a right triangle.
BCE is an acute triangle since all of its angles are lower than 90º so you don't have any larger than 90º angles, and its sides are not equal to eachother, so different sides and angles below 90º is an acute triangle.
BFG is an equilateral triangle since all of its sides are equal, and it is demonstrated in the figure by putting a little line in the middle of the sides that means that the sides are equal since the three sides of the triangle have them they are all equal making it an equilateral triangle.
GAF is an obtuse triangle, since all of its side are different and it has an angle larger than 90º that creates an obtuse triangle because of its obtuse angle.
Each of the triangles are classified as;
ΔCFE: Right angle triangle.
ΔBEC: Acute triangle
ΔBFG: Equilateral triangle
ΔGAF: Obtuse triangle
1) For the triangle ΔCFE, we can see that it has a right angle at point F. Thus, ∠CFE = 90°. Therefore, we can call ΔCFE right angled triangle.
2) For the triangle ΔBEC, we can see that the three angles namely;∠BEC, ∠BCE, ∠EBC are all less than 90°. Any triangle where the three angles are less than 90° is called acute triangle.
3) For the triangle ΔBFG, we can see that the three sides are equal. Any triangle with it's 3 sides equal is called equilateral triangle.
4) For the triangle ΔGAF, we can see that one of the angles which is ∠G is greater than 90° and any triangle with one of its's angles greater than 90° is called obtuse triangle.
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Related Questions
Work out $216 as a percentage of $600
Answers
Answer:
36%
Step-by-step explanation:
Put it into a fraction:
216/600
Next divide:
216/600= 0.36
Turn the decimal into a percentage:
0.36 = 36%
216 as a percentage of 600 is equal to 36%.
Answer:
36%
Step-by-step explanation:
216 / 600
0.36
0.36 * 100 = 36%
Best of Luck!
Identify all appropriate ways to reference the figure below.
K
W
Line KW
KW
KW
KW
WK
KW
Segment KW
WK
Answers
Answer:
Did u get the answer? I need help with the same question too
Step-by-step explanation:
A novelist can write 2 1/4 pages in 3/5 of an hour what is her sped in her pages per hour x
Answers
Answer:
The novelist can write 4/15ths of a page in an hour.
Step-by-step explanation:
Just multiply 3/5 by the reciprocal of 9/4, which is 4/9. Multiply 3/5 and 4/9 to get 12/45 or 4/15. In conclusion, the writer can write 4/15th of a page in an hour.
Seven tenths subtract five tenths
Answers
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Step 1: Write expression
[tex]\frac{7}{10} -\frac{5}{10}[/tex]
Step 2: Evaluate
[tex]\frac{2}{10}[/tex]
Step 3: Simplify
[tex]\frac{1}{5}[/tex]
Answer:
Step-by-step explanation:
The answer is two tenths it is like subtracting whole numbers but behind the decimal
polynomials
change of subject formulas
Answers
To make ‘u’ the subject of the formula in
V = u + at
*subtract ‘at’ to both sides*
V -at = u + at - at
Result:
V - at = u
So the answer would be
u = V - at
To get the right color to paint the house, Wendy must mix 1 gallon of green paint with 3 gallons of white paint.
a.) Write the ratio in 3 different ways to show the relationship between green paint and white paint.
Show work
Answers
Answer:
1:3
2:6
3:9
okay that's right
Step-by-step explanation:
Answer:
3/6
3 to 6
3:6
Step-by-step explanation
i don't know if this is what you are looking for
Please help me whoever answers first will get brainliest.
Which statement is true about the given expression?
3r2 – 11(2y + 1) + 4
OA. The "4" in the third term is a factor
OB. The "3" in the first term is an exponent.
OC. The "2" in the second term is a coefficient.
OD
The "11" in the second term is a constant,
Answers
Answer:
C
Step-by-step explanation:
It is C because the 2 is attached to the variable Y
Which graph represents the solution set of the equation 3y - x - 9 = 0?
Answers
Slope=
2.000
0.667
=0.333
x−intercept=
−1
9
=−9.00000
y−intercept=
3
9
=3
The required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
Which graph represents the solution set of the equation 3y - x - 9 = 0 is to determine.
The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Given equation,
3y - x - 9 = 0
Rearranging the equation,
y = x/3 + 3
Since the slope of the equation is m = 1/3 and the intercept is positive
So graph A and C can be omitted because the intercept is negative.
Now, x intercepet,
put Y = 0
0 = x/3 + 3
-3 = x/3
x = -3 * 3
x = -9
So graph D is also omitted because the x-intercept is -1 which is wrong, So graph B is a correct option which has the x-intercept at x = -9.
Thus, the required graph that represents the equation 3y - x - 9 = 0 is graph B. Option B is correct.
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A line is drawn through (-7, 11) and (8.–9). The equation
y – 11 = -4/3 (x + 7) is written to represent the line. Which
equations also represent the line? Check all that apply.
y = -4/3x + 5/3
3y = -4x + 40
4x + y = 21
4x + 3y = 5
-4x + 3y = 17
Answers
Answer-9
Step-by-step explanation:
Please help with this question.
Answers
Answer:
$26.53
Step-by-step explanation:
1. Calculate how much the repairmen changed just for the labor
93.06-40=53.06
2. Divide by two
53.06/2=26.53
Hope this helped!
What number should be added to both sides of the following equation to solve for x? x - 7 = 4 3 4 7 11
Answers
Answer:
The answer is 4
Step-by-step explanation:
This is because if u add 4 to seven it equals eleven so that is ur answer.
seagull is flying at 125 feet above sea level. A dolphin is swimming 23 feet below sea level. What is the distance in feet between the seagull and dolphin?
Answers
Answer:
102 feet.
Step-by-step explanation:
-23ft + 125ft = 102 ft
the probability that a randomly-selected 2 year old male salamander will live to be three years old is 0.9 567 what is the possibility probability that two randomly selected two year old male salamanders with live to be three years old? what is the probability that nine randomly selected 2-year old male salamanders will live to be 3-years old? what is the probability that at least one of the nine randomly selected 2-year old male salamanders will not live to be 3 years old? would it be unusual if at least one of nine randomly selected 2 year old male salamanders did not live to be 3 years old?
Answers
Answer:
a. [tex]Probability = 0.9153[/tex]
b. [tex]Probability = 0.6714[/tex]
c. [tex]P(atleast\ one) = 0.99999999999[/tex]
d. It is not unusual
Step-by-step explanation:
Represent the given probability with P(T)
[tex]P(T) = 0.9567[/tex]
Solving (a): Probability two selected will live to be three years old
This is calculated as:
[tex]Probability = P(T) * P(T)[/tex]
[tex]Probability = 0.9567 * 0.9567[/tex]
[tex]Probability = 0.91527489[/tex]
[tex]Probability = 0.9153[/tex] --- Approximated
Solving (b): The probability that nine selected will live to be three years old
This is calculated as:
[tex]Probability = (P(T))^9[/tex]
[tex]Probability = 0.9567^9[/tex]
[tex]Probability = 0.67140097202[/tex]
[tex]Probability = 0.6714[/tex] --- Approximated
Solving (c): Probability that at least one of the nine selected will not live to be three years old
To solve this, we need to determine the probability that none of the 9 selected will live to be 3 years old.
But first, we need to solve the probability that a selected male will not live to be 3 years old.
This is represented as: P(T') and is calculated as thus:
[tex]P(T) + P(T') = 1[/tex]
[tex]P(T') = 1 - P(T)[/tex]
[tex]P(T') = 1 - 0.9567[/tex]
[tex]P(T') = 0.0433[/tex]
The probability that none of the nine will live to be 3 years old is:
[tex]P(none) = (P(T'))^9[/tex]
[tex]P(none) = 0.0433^9[/tex]
So, the required probability is calculated as thus;
[tex]P(atleast\ one) = 1 - P(none)[/tex]
[tex]P(atleast\ one) = 1 - 0.0433^9[/tex]
[tex]P(atleast\ one) = 0.99999999999[/tex]
Solving (d): Would (c) be unusual
This probability is calculated in (c) above.
[tex]P(atleast\ one) = 0.99999999999[/tex]
Because it approximates to 1, we can conclude that it is not unusual
y = –y equals negative StartFraction 5 over 2 EndFraction minus 7.x – 7
x + 2y = 4
Answers
the answer is 2 because
The table shows the number of runs earned by two baseball players.
Player A Player B
2, 1, 3, 8, 2, 3, 4, 4, 1 1, 4, 5, 1, 2, 4, 5, 5, 10
Find the best measure of variability for the data and determine which player was more consistent.
Player A is the most consistent, with a range of 7.
Player B is the most consistent, with a range of 9.
Player A is the most consistent, with an IQR of 2.5.
Player B is the most consistent, with an IQR of 3.5.
Answers
Answer:
C) Player A is the most consistent, with an IQR of 2.5.
Step-by-step explanation:
Given table showing the number of runs earned by two baseball players:
[tex]\begin{array}{|c|c|}\cline{1-2}\vphantom{\dfrac12} \sf Player\;A& \sf Player \;B\\\cline{1-2}\vphantom{\dfrac12} 2,1,3,8,2,3,4,4,1&1,4,5,1,2,4,5,5,10\\\cline{1-2}\end{array}[/tex]
The range of data is the difference between the maximum and minimum values.
The Interquartile Range (IQR) is the difference between the upper quarter (Q3) and the lower quartile (Q1).
Player A
Range = 7IQR = 2.5Player B
Range = 9IQR = 3.5Player B has a larger range and IQR than Player A, indicating Player B has more variability in the number of runs earned. Therefore, Player A is most consistent.
The best measure of variability for the data is the interquartile range (IQR) rather than the range, as it provides a more robust measure of variability and is less affected by extreme values.
In summary, Player A is most consistent, with an IQR of 2.5.
what is 211,670,000 in scientific notation? :)
Answers
Answer:
2.1167×10⁸
Step-by-step explanation:
Hopefully I'm correct but we're just learning this subject so sorry if wrong
Answer:
2.11670 x 10^8
Step-by-step explanation:
211,670,000
To convert this standard notation number into a scientific number, you'll need to move the decimal 8 times to the left.
Remember, that the base of 10 always stays as 10. Only the exponent changes. We will be placing the 8 as the exponent since you moved the decimal 8 times to the left, making it 10^8 (if it were to the right, it would've been negative. I believe you'll learn more about that in class.) We can remove the zeros, thus leading to the answer of 2.11670 x 10^8.
If you have any questions, don't hesitate on asking! My math class just got on this topic! Hope this helped.
A number cube numbered 1-6 is rolled 30 times and lands on an even number 18 times.
How does this frequency compare to the expected frequency based on the probability of
the number cube landing on an even number?
The frequency is 15 more than expected.
The frequency is 13 more than expected.
The frequency is 9 more than expected.
The frequency is 3 more than expected.
Done →
Answers
Given statement solution is :- The correct answer is: The frequency is 3 more than expected.
To determine the expected frequency of landing on an even number when rolling a fair six-sided number cube, we need to calculate the probability of landing on an even number and multiply it by the total number of rolls.
The number cube has six possible outcomes: 1, 2, 3, 4, 5, and 6. Of these, three are even numbers: 2, 4, and 6. Therefore, the probability of rolling an even number is 3/6, which simplifies to 1/2 or 0.5.
The expected frequency can be found by multiplying the probability by the total number of rolls:
Expected frequency = Probability of landing on an even number × Total number of rolls
Expected frequency = 0.5 × 30 = 15
Now, we can compare the expected frequency (15) to the actual frequency (18) given in the problem statement.
The actual frequency is 18, and it is 3 more than the expected frequency (18 - 15 = 3).
Therefore, the correct answer is: The frequency is 3 more than expected.
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6 + 23 • 3 =? on e2020
Answers
Answer:
75
Step-by-step explanation:
Order of operations: BPEMDAS
Step 1: Write expression
6 + 23 · 3
Step 2: Multiplication
6 + 69
Step 3: Add
75
Answer:
75
Step-by-step explanation:
6 + 23 x 3
6+ 69
75
Shalise competed in a jigsaw puzzle competition where participants are timed on how long they take to complete puzzles of various sizes.
Shalise completed a small puzzle in 75 minutes and a large jigsaw puzzle in 140 minutes. For all participants, the distribution of completion
time for the small puzzle was approximately normal with mean 60 minutes and standard deviation 15 minutes. The distribution of completion
time for the large puzzle was approximately normal with mean 180 minutes and standard deviation 40 minutes.
Approximately what percent of the participants had finishing times greater than Shalise's for each puzzle?
Answers
Answer:
16% on the small puzzle and 84% on the large puzzle.
Step-by-step explanation:
Answer:
Answer B
Step-by-step explanation:
According to the empirical rule, approximately 68% of the completion times are within one standard deviation of the mean of 60 minutes for the smaller puzzle. By symmetry, 16% of the remaining completion times are less than 45 minutes and 16% of the completion times are greater than 75 minutes. For the large puzzle, the empirical rule guarantees that approximately 68% of the times will be within 1 standard deviation of the mean of 180 minutes. By symmetry, 16% of the remaining times are less than 140 minutes, and 16% of the times are greater than 220 minutes. Therefore 84% of the times will be greater than Shalise’s time of 140 minutes on the large puzzle.
Simplify [ 10. (21-2)4 + 5.420-3] ÷ (2-1.160-2)
Answers
The simplified expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2) evaluates to 107.6601.
To simplify the expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2), we can follow the order of operations (PEMDAS/BODMAS) to evaluate each part step by step.
Let's simplify the expression step by step:
Start by simplifying the parentheses:
[10.(21-2)4 + 5.420-3] ÷ (2-1.160-2)
= [10.(19)4 + 5.0.008] ÷ (2-1.0.01)
Next, perform the multiplications:
= [10.(19)4 + 0.04] ÷ (2-0.01)
Continue with the addition inside the parentheses:
= [10.764 + 0.04] ÷ (2-0.01)
Perform the multiplications:
= [107.64 + 0.04] ÷ (2-0.01)
Perform the addition:
= 107.64 + 0.04 ÷ (2-0.01)
Evaluate the subtraction inside the parentheses:
= 107.64 + 0.04 ÷ 1.99
Perform the division:
= 107.64 + 0.0201
Perform the final addition:
= 107.6601
Therefore, the simplified expression [10.(21-2)4 + 5.420-3] ÷ (2-1.160-2) evaluates to 107.6601.
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How would you do these questions?
Answers
Part 1
Population = {1,2,4}
Sample 1 = {1,1}, probablity = 1/9
Sample 2 = {1,2}, probablity = 1/9
Sample 3 = {1,4}, probablity = 1/9
Sample 4 = {2,1}, probablity = 1/9
Sample 5 = {2,2}, probablity = 1/9
Sample 6 = {2,4}, probablity = 1/9
Sample 7 = {4,1}, probablity = 1/9
Sample 8 = {4,2}, probablity = 1/9
Sample 9 = {4,4}, probablity = 1/9
Each of the 9 samples has equal probablity of occuring, so that's why each probablity is 1/9
Note: it may be best to write the above in the form of a table
==================================================
Part 2
For each sample (1 through 9), compute the mean. So we'll add up the values and divide by 2
xbar represents the sample mean
Sample 1 = {1,1}, xbar = 1
Sample 2 = {1,2}, xbar = 1.5
Sample 3 = {1,4}, xbar = 2.5
Sample 4 = {2,1}, xbar = 1.5
Sample 5 = {2,2}, xbar = 2
Sample 6 = {2,4}, xbar = 3
Sample 7 = {4,1}, xbar = 2.5
Sample 8 = {4,2}, xbar = 3
Sample 9 = {4,4}, xbar = 4
----------
Now let's list out each possible xbar value and its associated probability
xbar = 1, probability = 1/9
xbar = 1.5, probability = 2/9
xbar = 2, probability = 1/9
xbar = 2.5, probability = 2/9
xbar = 3, probability = 2/9
xbar = 4, probability = 1/9
note how the probabilities listed above add to 9/9 = 1.
Again a table is ideal to help organize the data.
==================================================
Part 3
To calculate the value of mu_x, we add up all the xbar values found in part 2, and divide by 9
(1+1.5+2.5+1.5+2+3+2.5+3+4)/9 = 2.333
So mu_x = 2.333 approximately
----------
Calculating the standard deviation is a bit lengthier, but you subtract each data value from the mean, square each difference, and add up the squares.
Afterward, you divide by n = 9 to get the population variance. Apply the square root to get the population standard deviation.
Luckily a calculator or spreadsheet can make quick work of this. You should get roughly 0.88192 as the standard deviation.
==================================================
Part 4
The mean of the population {1,2,4} is (1+2+4)/3 = 2.3333 which matches with mu_xbar
The standard deviation of the population {1,2,4} is roughly 0.88191710368819 which matches with 0.88192 found earlier back in part 3.
what is the distance between 1/3 and 2/3
Answers
Answer:
1/3
Step-by-step explanation:
is this a trick question? all you have to ask yourself is "what does it take to get from 1/3 to 2/3, or whats the difference between 1/3 and 2/3?" haha but here i guess!
Mr. O’Connel purchased 12 bags of grass seed for $62.28. What was the price per bag of grass seed?
Answers
Answer:
$5.19
Step-by-step explanation:
62.28/12
Answer: The correct answer is $5.19
Step-by-step explanation:
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 14 meters?
Answers
14 meters x 100 cm = 1400 cm.
1400 cm/ 2.54 cm per inch = 551 inches.
The number of inches in 14 meters will be 551.18 inches.
What is conversion?Conversion means to convert the same thing into different units.
We know that there are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter.
1 cm ⇒ (1/2.54) inches
1 m ⇒ 100 cm
Then the number of inches in one meter will be by the multiplication of 100 and (1/2.54).
1 meter = 100 x (1/2.54) inches
1 meter = 39.37 inches
Then the number of inches in 14 meters will be by multiplication of 39.37 and 14.
⇒ 14 x 39.37 inches
⇒ 551.18 inches
The number of inches in 14 meters will be 551.18 inches.
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6 square units
3 square units
5 square units
7 square units
4 square units
Answers
5 square units is the approximate area of the triangle. Option C is correct
Area of a triangleThe formula for calculating the area of a triangle is expressed as"
Area = 1/2 * base * height
From the given triangle, the base is RS and the height is TO where O is the midpoint of RS. =
Area of triangle RST = 1/2(RS)(TO)
Determine the distance RS and TO
RS = √(1-3)²+(-1-1)²
RS = √4+4
RS = 2√2 units
TO = √(-1-2)²+(2-0)²
TO = √9+4
TO = √13 units
Area of triangle RST = 1/2 * 2√2 * √13
Area of triangle RST = √26
Area of triangle RST = 5 square units
Hence the area of triangle RST is approximately 5 square units
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w = gm, solve for m.
Answers
Answer:
m = w/g
Step-by-step explanation:
Step 1: Write equation
w = gm
Step 2: Divide both sides by g
w/g = m
Step 3: Rewrite
m = w/g
Answer:
w/g = m
Step-by-step explanation:
w = gm
Divide each side by g
w/g = gm/g
w/g = m
A function h(x) is defined by the formula h(x)=x^3-3. What is the value of g(h(2))?
Answers
Answer:
g(h(2))= 5
Step-by-step explanation:
h(x)=x^3-3
g(2^3-3)
the 2 replaces the x
simplify
g(5)
By the end of Tina’s bike ride, she traveled a distance of 40 kilometers. How many miles did Tina ride? (1 mile ≈ 1.6 kilometers)
Answers
Answer:
25 miles
Step-by-step explanation:
Answer: Your answer is 25
Your Welcome!
2x1+6x6=
What is 2multiplied by 1 plus 6 multiplied by 6
Answers
Answer:
38
Step-by-step explanation:
2 x 1 + 6 x 6
= 2 + 36
= 38
So, the answer is 38
Answer:
see attached
Step-by-step explanation:
help plessssssssssssss
