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3 years ago

11

There is an equilateral triangle, ABC, inscribed in a circle with center D. What is the smallest angle you can rotate triangle A

BC around D so that the image of A is B?

1 answer:

zavuch27 [327]3 years ago

6 0

Answer:

correct answer is "B"...

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If a certain cannon is fired from a height of 8.8 meters above the ground, at a certain angle, the height of the cannonball ab

Dennis_Churaev [7]

Answer:

It would take approximately 6.50 second for the cannonball to strike the ground.

Step-by-step explanation:

Consider the provided function.

$h(t)=-4.9t^2+30.5t+8.8$

We need to find the time takes for the cannonball to strike the ground.

Substitute h(t) = 0 in above function.

$-4.9t^2+30.5t+8.8=0$

Multiply both sides by 10.

$-49t^2+305t+88=0$

For a quadratic equation of the form $ax^2+bx+c=0$ the solutions are: $x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

Substitute a = -49, b = 305 and c=88

$t=\frac{-305+\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}=-\frac{-305+\sqrt{110273}}{98}\\t = \frac{-305-\sqrt{305^2-4\left(-49\right)88}}{2\left(-49\right)}= \frac{305+\sqrt{110273}}{98}$

Ignore the negative value of t as time can't be a negative number.

Thus,

$t=\frac{305+\sqrt{110273}}{98}\approx6.50$

Hence, it would take approximately 6.50 second for the cannonball to strike the ground.

6 0

3 years ago

Mean and Standard Deviation of Senior Citizens In the 2010 US Census, we learn that of all people in the US are senior citizens.

cluponka [151]

Answer:

The mean of X is 1.17.

The standard deviation of X is 1.009.

Step-by-step explanation:

<em>The question is incomplete: 1ean and Standard Deviation of Senior Citizens In the 2010 US Census, we learn that of all people in the US </em><em>13% </em><em>are senior citizens. Let the random variable X represent the number of senior citizens in a random sample of 9 people. Find the mean and standard deviation of this random variable. Enter the exact answer for the mean, and round your answer for the standard deviation to three decimal places.</em>

<em />

This variable X can be modeled as a binomial random variable, with n=9 and p=0.13.

The mean of X is:

$\mu=np=9*0.13=1.17$

The standard deviation of X is:

$\sigma=\sqrt{npq}=\sqrt{9*0.13*0.87}=\sqrt{1.0179}=1.009$

3 0

3 years ago

5. Five people are standing in a line. Brittany is

choli [55]

Answer:

Devin.

Step-by-step explanation:

The order in line would be Callie, Ana, Devin, Brittany, Evan.

3 0

4 years ago

Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. Mount M

yawa3891 [41]

Answer:

20,236.32

Step-by-step explanation:

because (-282) * (-71.76) = 20,236.32

8 0

3 years ago

Read 2 more answers

Pls answer, if you just came for the points I am calling a moderator to delete your answers and points. Ty!

Sidana [21]

Answer: The frame holds up the building like table legs hold up a table

8 0

4 years ago