All categories

3 years ago

A triangle has an area of 234.4 square feet and a height of 16 feet. what is the length of the base?

1 answer:

4 0

The area of a triangle:
$A_\Delta=\dfrac{bh}{2}$
We have:
$A_{\Delta}=234.4\ ft^2.\\\\h=16\ ft.$
substitute:
$\dfrac{16b}{2}=234.4\\\\8b=234.4\ \ \ |:8\\\\b=29.3\ ft.$
Answer: 29.3 ft.

You might be interested in

How many 5 minutes intervals are there in 1 ¼ hours?

katrin [286]

Answer:

1 1/4 hours=60+15 minutes =75 minutes

hence, 75 divided by 5 = 15 five minutes intervals:)

Ans: 15 five minutes intervals

4 0

3 years ago

Read 2 more answers

Jenny wants to serve fruit punch at her party. She plans to buy a punch bowl that costs 5$ and fruit punch that costs 1.40$ per

krek1111 [17]

The answer is Y=1.40p+5

5 0

3 years ago

Graph g is a translation of the graph of y= sin x (dashed line).a) write down the equation of g b) write down the coordinates of

labwork [276]

Answer:

a) $G(x)= \sin x + 2$

b) The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

Step-by-step explanation:

Translation

The dashed line shows the graph of the function

$y = \sin x$

This function has a maximum value of 1, a minimum value of -1, and a center value of 0.

Graph G shows the same function but translated by 2 units up, thus the equation of G is:

$\boxed{G(x)= \sin x + 2}$

b) The coordinates of P correspond to the value of

$x = \frac{3\pi}{2}$

The value of G is

$\displaystyle G(\frac{3\pi}{2})= \sin \frac{3\pi}{2} + 2$

Since

$\sin \frac{3\pi}{2}=-1$

$\displaystyle G(\frac{3\pi}{2})= -1+ 2=1$

The coordinates of P are

$\displaystyle \left( \frac{3\pi}{2},1\right)$

8 0

2 years ago

The exact numbers of each color of Umbrella Corporation's most popular candy, W&Ws, naturally vary from bag to bag, but the

sattari [20]

Question in order:

The exact numbers of each color of Umbrella Corporation's most popular candy, W&Ws, naturally vary from bag to bag, but the company wants to make sure that the process as a whole is producing the five colors in equal proportions. Which of the following would represent the alternative hypothesis in a chi-squared goodness-of-fit test conducted to determine if the five colors of W&Ws occur in equal proportions?

a. H1: All of the proportions are different from 0.20

b. HI: p1 = P2 = p3 =P4=p5 = 0.20

c. H1: At least one proportion is not equal to 0.20

d. H1: At least two of the mean number of colors differ from one another.

e. HI: the number of candies per bag and candy color are dependent

Answer:

option C

Step-by-step explanation:

H1: At least one proportion is not equal to 0.20

6 0

3 years ago

Please no links if so ill report you and talk to someone in the fbi maybe..

ollegr [7]

Answer:

2(4x+1/4)

Step-by-step explanation:

You can put all of these equations into the Desmos Graphing Calculator and you will see that 2(4x+1/4) and -6x+3 3/4+14x-3.25 are equal to each other.

You cannot really see it in the picture below, but the purple 2(4x+1/4) line and the red -6x+3 3/4+14x-3.25 line are overlapping each other.

7 0

3 years ago