I need help with number 16 please.

Please help!! I need to know this by today

mario62 [17]

Answer=60

Since the base of the prism is a right triangle, we can use the pythagorean theorem to solve for x.

a²+b²=c²
plug in the data
a²+24²=30²
a²+576=900
subtract 576 from both sides
a²=324
sq root
a=18
So x=18

The formula for the volume of a triangular prism is...

V=(area of the base)*(height)
V=1/2bh*H where b=base of triangle h=height of triangle, H=height of prism
plug in the data that we know
720=1/2*18*24*H
720=216*H
divide both sides by 216
3 1/3=H

So x=18 and y=3 1/3 or 3.33 repeating

The product of the two

18*3 1/3=60

Answer=60

6 0

2 years ago

Read 2 more answers

1. Find the distance from point P to QS

12345 [234]

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

$PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Let,

$P (1, 1) = (x_1, y_1)$

$R(-3, 5) = (x_2, y_2)$

Plug in the values into the formula.

$PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2}$

$PR = \sqrt{(-4)^2 + (4)^2}$

$PR = \sqrt{16 + 16}$

$PR = \sqrt{32}$

$PR = 5.7 units$ (to nearest tenth)

4 0

2 years ago

Assume that the weights of spawning Chinook salmon in the Columbia river are normally distributed. You randomly catch and weigh

s344n2d4d5 [400]

Answer: The point estimate for the mean weight of all spawning Chinook salmon in the Columbia River is the mean weight from your sample $(\overline{x})$ = 31.2 pounds .

Step-by-step explanation:

The weights of spawning Chinook salmon in the Columbia river are normally distributed.

Given : The mean weight from your sample is 31.2 pounds with a standard deviation of 4.4 pounds.

The point estimate for the mean $(\mu)$ weight of all spawning Chinook salmon in the Columbia River is the mean weight from your sample $(\overline{x})$ i.e. is 31.2 pounds because the best point estimate for population mean is the sample mean. [in normal distribution]

8 0

3 years ago

1.2, 3, 7.5, 18.75, ...<br><br> Which formula can be used to describe the sequence?

Nady [450]

Answer:

The formula is:

$a_n=1.2(\frac{5}{2})^{n-1}$

Step-by-step explanation:

The geometric sequences are those in which the division between the terms $a_{n + 1}$ and $a_n$ of the sequence are equal to a constant common reason called "r"