All categories

3 years ago

how do you express the area of a triangle as a monomial when the height is 2g^(2)h^(5) and the width is 3gh?

1 answer:

7 0

Since the area of a triangle is hb*1/2, you do 2g^(2)h^(5)*3gh, which is 6g^(3)h
^6. Then, you divide it by 2, which is 3g^(3)h^6.

You might be interested in

1. A cylinder with a height of 5 in and a radius of 2 in is shown.

dexar [7]

Answer:

62.8 cubic inch

Step-by-step explanation:

For Cylinder

height (h) = 5 in

radius (r) = 2 in

Volume of Cylinder

= π r² h

= 22/7 * 2 * 2 * 5

= 22* 20/7

= 440/7

= 62.8 cubic inch

Thus, the volume of the cylinder is 62.8 cubic inch

5 0

4 years ago

Find the distance between the two points in simplest radical form.

sweet-ann [11.9K]

Answer:

3 $\sqrt{13}$

Step-by-step explanation:

Calculate the distance using the distance formula

d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = (- 9, 8) and (x₂, y₂ ) = (- 3, - 1)

d = $\sqrt{(-3-(-9))^2+(-1-8)^2}$

= $\sqrt{(-3+9)^2+(-9)^2}$

= $\sqrt{6^2+81}$

= $\sqrt{36+81}$

= $\sqrt{117}$

= $\sqrt{9(13)}$

= $\sqrt{9}$ × $\sqrt{13}$

= 3 $\sqrt{13}$

8 0

3 years ago

Suppose a lab need to need to make 400 liters of 39% acid solution, but the only solutions available to the lab are 20% acid and

Maslowich

Answer:

c + d = 400

0.2c + 0.5d = 156

Step-by-step explanation:

Let

c = number of liters of 20% acid solution

d = number of liters of 50% acid solution.

c + d = 400 (1)

0.2c + 0.5d = 400(0.39)

0.2c + 0.5d = 156 (2)

From (1)

c = 400 - d

Substitute c = 400 - d into (2)

0.2c + 0.5d = 156 (2)

0.2(400 - d) + 0.5d = 156

80 - 0.2d + 0.5d = 156

- 0.2d + 0.5d = 156 - 80

0.3d = 76

d = 76/0.3

d = 253.33 liters

Substitute d = 253.33 into (1)

c + d = 400

c + 253.33 = 400

c = 400 - 253.33

c = 146.67 liters

6 0

3 years ago

A SALES PERSON AT APPLE EARNS $300 PER WEEK PLUS COMMISSION EQUAL TO 5%OF HER SALES . this WEEK HER GOAL IS TH EARN AT $550. Wri

kogti [31]

Let us say that:

S = total sales

Therefore the inequality equation in this case is:

300 + 0.05 S ≥ 550

Solving:

S ≥ 5,000

Therefore she must have a sales of at least $5,000 to have an earning of at least $550.

5 0

3 years ago

3/5 = 24/40 =?/60. what comes at the question mark?

kherson [118]

Answer:

? = 36

Step-by-step explanation:

Knowing that 3/5 and 24/40 is equal

Therefore we can either use:

3/5 = ?/60 or 24/40 = ?/60

I will use 3/5 = ?/60

Let ? = x

Hence we have

3/5 = x/60

Multiply both sides by 10

6 = x/6

Multiply both sides by 6

x = 36

Therefore, the question mark = 36

Let's check the answer by Simplifying the fraction:

3/5 = 36/60

3/5 is in already simplify

36/60 simplify = 3/5

3/5 = 3/5

Thus, the question mark = 36

[RevyBreeze]

3 0

2 years ago

Read 2 more answers