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Helen [10]
3 years ago
8

Answer all worth 50 points

Mathematics
1 answer:
vredina [299]3 years ago
6 0
<h2>Figure 1</h2>

Answer: 350

Formula: W × H × L

7 × 5 × 10 = 350

<h2>Figure 2</h2>

Answer: 288

Formula: \frac{1}{2}bhl

\frac{1}{2}\times8\times6\times12=288

<h2>Figure 3</h2>

Answer: 14.7

Formula: \frac{1}{2} bhl

\frac{1}{2}\times4.2\times2\times3.5=14.7

<h2>Figure 4</h2>

Answer: 4.29

Formula: W × H × L

2.6 × 1.5 × 1.1 = 4.29

<h2>Figure 5</h2>

Answer: 60

Formula: W × H × L

4 × 3 × 5 = 60

<h2>Figure 6</h2>

Answer: 27.2

Formula: \frac{1}{2} bhl

\frac{1}{2}\times4.1\times2.6\times5.1

<h2>Figure 7</h2>

Answer: 117\frac{223}{256}

Formula: L × W × H

8\frac{7}{8}\times4\frac{1}{4}\times3\frac{1}{8} =\frac{30175}{256}=117\frac{223}{256}

<h2>Figure 8</h2>

Answer: 86.4

Formula: \frac{1}{2} bhl

\frac{1}{2}\times6.1\times4.8\times5.9=86.4

Explanation: To find the volume for a rectangular prism, multiply the Length, Width and Height. To find the volume for a triangular prism, multiply the Base, Height and Length by 1/2.

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svp [43]

Answer:

6

Step-by-step explanation:

6

6 0
3 years ago
2/3x- 1/5 is greater than 1
Natasha_Volkova [10]

Answer:

<h2>x > 1.8</h2>

Step-by-step explanation:

\dfrac{2}{3}x-\dfrac{1}{5}>1\qquad\text{multiply both sides by 15}\\\\15\!\!\!\!\!\diagup^5\cdot\dfrac{2}{3\!\!\!\!\diagup_1}x-15\!\!\!\!\!\diagup^3\cdot\dfrac{1}{5\!\!\!\!\diagup_1}>15\cdot1\\\\(5)(2x)-3>15\qquad\text{add 3 to both sides}\\\\10x>18\qquad\text{divide both sides by 10}\\\\\boxed{x>1.8}

8 0
4 years ago
Read 2 more answers
There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, 4 7 of the remaining boats ar
Aleksandr-060686 [28]

Answer: the number of boats that are in the marina is 105.

Step-by-step explanation:

Let x represent the number of boats that are in the marina.

Two-thirds of the boats in the marina are white. It means that the number of white boats in the marina is

2/3 × x = 2x/3

The remaining number of boats will be

x - 2x/3 = x/3

4/7 of the remaining boats are blue. It means that the number of boats that are blue is

4/7 × x/3 = 4x/21

The number of boats left would be

x/3 - 4x/21 = 3x/21

If there are 15 red boats, it means that

3x/21 = 15

3x = 21 × 15 = 315

x = 315/3

x = 105

3 0
3 years ago
Bella and Justin went to the bank to open new checking accounts. The equation C=0.1n+1.50 represents the monthly cost, C, in dol
White raven [17]

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation for Bella:

c = 0.1n + 150

Where C is the monthly cost for n checks.

For Justin:

1.2 = 3k

k = 0.4

C = 0.4n

To have the same cost:

0.1n + 150 = 0.4n

n = 500

c = 0.4(500) = 200

The cost would be the same for Justin and Bella if 500 checks are sold, costing about $200.

Find out more on equation at: brainly.com/question/2972832

3 0
3 years ago
Find the area and perimeter<br> for each polygon.
Radda [10]

Answer:

5. P = 23 m

   A =  15 m^{2}

6. P = 24.4 in

   A = 15.3 in^{2}

Step-by-step explanation:

Area formula of a triangle is A = 1/2 bh

Area formula of a parallelogram is A = bh

5. The height of a triangle is perpendicular to the base.

    A = 1/2 * 10 * 3

    A = 15 m^{2}

6. The height of the parallelogram is also perpendicular to the base.

    A = 9 * 1.7

    A = 15.3 in^{2}

Perimeter means you add all the side lengths.

5. The side lengths are 5m, 8m, and 10m. Adding those together, you get 23m.

6. A parallelogram has congruent opposite sides. That means your side lengths are 9 in, 3.2 in, 9 in and 3.2 in. Adding those together, you get 24.4 in.

3 0
2 years ago
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