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Dmitry [639]
2 years ago
9

A circle has a diameter of 14 ft. What is the area of the circle? (use 3.14 for )

Mathematics
2 answers:
Eduardwww [97]2 years ago
8 0

Answer:

C 153.86ft²

Step-by-step explanation:

The formula is πr²

This mean you first find the radius of the circle which is half of the diameter. so for this circle the radius is 7ft.

Now plug everything in the formula and solve

3.14×7²

Following bedmas you would do exponents first. 7²=49

Now do 3.14×49 which is 154.86ft²

Alinara [238K]2 years ago
5 0

Answer:

answer is C. 153.86ft^2

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Extreme cold and hot temperatures are known to affect the operation of electronic components. Winter is approaching and you are
Musya8 [376]

Answer:

A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

Test statistic(Z) = 2.31

P-value = 0.0104

Step-by-step explanation:

Step 1

Null hypothesis: The average damaging temperature of nine iPods is 5°F

Alternate hypothesis: The average damaging temperature of nine iPods differs from 5°F

Step 2

Mean=5°F, Sd=3, df=n-1=9-1=8

The t-value corresponding to 8 degrees of freedom and 95% confidence level (5% significance level) is 2.306

Confidence Interval(CI) = (mean + or - t×sd/√n)

CI = (5 + 2.306×3/√8) = 5 + 6.918/2.828= 5+2.45=7.45°F

CI = (5 - 2.306×3/√8) = 5-2.45 = 2.55°F

Z = (sample mean - population mean)/(sd÷√n) = (5-2.55)/(3÷√8) = 2.45/1.061 = 2.31

Step 3

Using the standard distribution table, the cumulative area to the left of Z = 2.31 is 0.9896

P-value = 1 - 0.9896 = 0.0104

Step 4

Conclusion: A 95% confidence interval for the true mean minimum temperature that will damage an iPod is between 2.55°F and 7.45°F

7 0
3 years ago
Does the order in which the two transformations in a composite transformation affect the final
kap26 [50]

The order in which the two transformations in a composite transformation affect the final answer

<h3>How to determine the composite transformation?</h3>

To determine if order matters or not, I will use the following example and illustration.

Let the coordinate of point A be:

A = (2, 5)

Perform the following transformations:

  • Translate by (x, y + 1)
  • Dilate by a scale factor of 2

First order: Translation before dilation

The translation by (x, y + 1) would give:

A' = (2, 5 + 1)

A' = (2,6)

The dilation by a scale factor of 2 would give

A" = 2 * (2,6)

A" = (4,12)

Second order: Dilation before translation

The dilation by a scale factor of 2 would give

A' = 2 * (2,5)

A' = (4,10)

The translation by (x, y + 1) would give:

A'' = (4, 10 + 1)

A'' = (4,11)

See that the final coordinates in both orders are not the same.

Hence, the order in which the two transformations in a composite transformation affect the final answer

Read more about transformation at:

brainly.com/question/1548871

#SPJ1

6 0
2 years ago
Which of the segments below is a secant?
Rainbow [258]

Answer:

BC

Step-by-step explanation:

A secant is a line which intersects the circle at 2 points

In the given diagram this is BC

3 0
3 years ago
Read 2 more answers
The circumference of a circle is 94.2 millimeters. What is the circle's radius?
notka56 [123]

Answer:

14.99

Step-by-step explanation:

4 0
2 years ago
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Solve 2(9-x) = 3 ( x +16 )
andreyandreev [35.5K]

Answer: x=-6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(9−x)=3(x+16)

Step 1: Simplify both sides of the equation by distribution

2(9-x)=3(x+16)\\(2)(9)+(2)(-x)=(3)(x)+(3)(16)\\18+-2x=3x+48\\-2x+18=3x+48\\

Step 2: Subtract 3x from both sides.

-2x+18-3x=3x+48-3x\\-5x+18=48

Step 3: Subtract 18 from both sides.

-5x+18-18=48-18\\-5x=30

Step 4: Divide both sides by -5.

\frac{-5x}{-5} =\frac{30}{-5} \\x=-6

3 0
2 years ago
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