10

Help please ASAP please I’ll mark you as brainlister

storchak [24]

Answer:

a = 4

Step-by-step explanation:

$\sin(theta) = \frac{opposite}{hypotenuse}$

$\cos(theta) = \frac{adjacent}{hypotenuse}$

$\tan(theta) = \frac{opposite}{adjacent}$

hypotenuse = a

opposite = 2√3

adjacent = b

theta = 60°

the best formula to use is the first formula cause we have all the values to substitute in it in order to find the value of a

$\sin(60) = \frac{2 \sqrt{3} }{a}$

$\frac{2 \sqrt{3} }{ \sin(60) } = a$

$4 = a$

$a = 4$

4 0

3 years ago

You are preparing a community garden with your youth group to have enough room for the spots for all the people who already sign

Annette [7]

Answer:

92 feet.

Step-by-step explanation:

Given:

The length of the garden needs to be 22 feet longer than the width of the garden.

The perimeter of the fence is a total of 324 feet

Question asked:

What will the length be of garden ?

Solution:

As length of the garden needs to be 22 feet longer than the width,

Let width = $x$

Then, length will be = $x+22$

As here perimeter of the fence is given, we can find length and width of garden by using:

Perimeter of rectangle = $2(length+width)$

$324=2(x+22+x)\\324=2(2x+22)\\324=4x+44\\$

Subtracting both sides by 44

$324-44=4x+44-44\\280=4x\\$

Dividing both sides by 4

$70=x$

Width = $x$ = 70 feet

Then, length will be = $x+22$ = 70 + 22 = 92 feet

Therefore, the length of the garden will be 92 feet.

3 0

3 years ago

According to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on ave

ki77a [65]

Answer:

The value of test statistics is 1.06.

Step-by-step explanation:

We are given that according to a marketing research study, American teenagers watched 14.8 hours of social media posts per month last year, on average. A random sample of 11 American teenagers was surveyed and the mean amount of time per month each teenager watched social media posts was 15.6. This data has a sample standard deviation of 2.5.

We have to test if the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year or not.

Let, NULL HYPOTHESIS, $H_0$ : $\mu$ = 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is same as the mean amount of time last year}

ALTERNATE HYPOTHESIS, $H_1$ : $\mu$ > 14.8 hours {means that the mean amount of time American teenagers watch social media posts per month is greater than the mean amount of time last year}