Solve for Y please help me

Amanda's school is due west of her house and due south of her friend Shereen's house. The distance between the school and Sheree

Blizzard [7]

The Amanda's house is 6.7 km far from her school.

Step-by-step explanation:

From the given information,

The Amanda's school is due west of her house forms the base.
The school is due south of the Shereen's house forms the height.
The straight-line distance between Amanda's house and Shereen's house forms the hypotenuse.

Therefore, It can be determined that it forms the right angle triangle.

It is given that,

The distance between the school and Shereen's house is 2 kilometers.

That is, the height of the triangle = 2 km

The straight-line distance between Amanda's house and Shereen's house is 7 kilometers.

That is, the hypotenuse of the triangle = 7 km

Now, the distance between the Amanda's house and her school is the base of the triangle.

To find the base :

Base = $\sqrt{(hypotenuse)^{2}-(height)^{2} }$

⇒ $\sqrt{(7)^{2} -(2)^{2} }$

⇒ $\sqrt{49-4}$

⇒ $\sqrt{45}$

⇒ 6.7 km

Therefore, the Amanda's house is 6.7 km far from her school.

3 0

3 years ago

A 10 inch cookie cake is divided into 8 slices. What is the area of 3 slices

brilliants [131]

Answer:

The area of 3 slices is $\frac{75}{8}\pi\ in^2$ or approximate $29.4\ in^2$

Step-by-step explanation:

Find out the area of the cookie cake

The area of the circle (cookie cake) is

$A=\pi r^{2}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

substitute

$A=\pi (5)^{2}$

$A=25\pi\ in^{2}$

Remember that the area of the complete cookie cake subtends a central angle of 360 degrees

If the cake is divided into 8 slices

then

The central angle of each slice is equal to

360/8=45°

The central angle of 3 slices is equal to

3(45°)=135°

By proportion

Find out the area of 3 slices

Let

x ----> the area of 3 slices

$\frac{25\pi}{360}=\frac{x}{135}\\\\x=25\pi(135)/360\\\\x=\frac{3,375}{360}\pi\ in^2$

Simplify

$\frac{75}{8}\pi\ in^2$ ----> exact value of the area of 3 slices

Find out the approximate value of the area of 3 slices

assume

$\pi =3.14$

substitute

$\frac{75}{8}(3.14)=29.4\ in^2$

5 0

4 years ago

In order to estimate the mean amount of time computer users spend on the internet each month, how many computer users must be s

Sladkaya [172]

Answer:

The minimum sample size required is 5,499 computer users.

The major obstacle is that it is a big sample size if it is a small organization wanting to perform it.

Step-by-step explanation:

We need to calculate a sample size in order to have 95% confidence interval with 12 minutes of witdth.

So, we have that the difference between the upper limit and the lower limit is 12:

$UL-LL=12$

$(\mu+z*\sigma/\sqrt{n})-(\mu-z*\sigma/\sqrt{n})=12\\\\2z\sigma/\sqrt{n}=12\\\\\sqrt{n}=(1/6)*z\sigma\\\\n=(1/36)z^2\sigma^2$

For a 95% CI, the value of z is 1.96. The standard deviation is 227.

$n=z^2\sigma^2/36=(1.96)^2*(227)^2/36=3.8416*51,529/36=5498.72\\\\n=5499$

The minimum sample size required is 5,499 computer users.

6 0

3 years ago

I need help I will mark BRAINLIEST!!!!

Arte-miy333 [17]

Answer: 6.2x10^10

Step-by-step explanation:

There must be a number less than 10 on the left side

7 0

3 years ago

Read 2 more answers

Which equation is represented by the table?

lisov135 [29]

1) Find the gradient of the line by using two of the points given.
2) Find the y-intercept by using either one of the points into y=mx+c
3) The eq. is, y=5x-1

5 0

4 years ago