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Brrunno [24]
3 years ago
9

Find the area of the composite figure. Use 3.14 for pi.

Mathematics
1 answer:
german3 years ago
3 0

Answer:

118.5in

Step-by-step explanation:

Acircle=πr2

=π5^2

=78.5

Arectangle = l *w

= 10*4

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1.A cube has side lengths of 15 inches, what is the surface area and volume of the cube? 2. A cube has side lengths of 8 inches,
omeli [17]

Answer:

Cube 1: 3375 cubed inches, 1350 inches squared.

Cube 2: 512 cubed inches, 384 inches squared.

Step-by-step explanation:

Formula for Volume of a Cube:  V=s^3\\ (s - side length)

Formula for Surface Area of a Cube: SA=6s^2 (s- side length)

<h3>For Cube 1:</h3>

The side length's 15 inches.

Find the volume:

V=15^3\\\rightarrow 15*15*15=3375\\\boxed {V=3375}

The volume of cube one is 3375in³.

Find the surface area:

SA=6(15)^2\\\rightarrow 15^2 = 225\\SA = 6 * 225\\\boxed {SA=1350}

The surface area of cube 1 is 1350in².

<h3>For Cube 2:</h3>

The side length's 8 inches.

Find the volume:

V=8^3\\\rightarrow 8*8*8= 512\\\boxed {V=512}

The volume of cube two is 512in³.

Find the surface area:

SA=6(8)^2\\\rightarrow 8^2=64\\SA=6*64\\\boxed {SA=384}

The surface area of cube 2 is 384in².

<em>Brainilest Appreciated. </em>

3 0
3 years ago
Hey ok i need help on this question ive been stuck on it for a couple minutes haha
Len [333]

Answer:

The side s has a length of 4 and side q has a length of 4\sqrt{3} ⇒ F

Step-by-step explanation:

In the 30°-60°-90° triangle, there is a ratio between its sides

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

In the given triangle

∵ The side opposite to 30° is s

∵ The side opposite to 60° is q

∵ The hypotenuse is 8

→ Use the ratio above to find the lengths of s and q

side opp (30°) : side opp (60°) : hypotenuse

       1               :         \sqrt{3}            :        2

       s               :          q             :        8

→ By using cross multiplication

∵ s × 2 = 1 × 8

∴ 2s = 8

→ Divide both sides by 2

∴ s = 4

∴ The length of s is 4

∵ q × 2 = \sqrt{3} × 8

∴ 2q = 8\sqrt{3}

→ Divide both sides by 2

∴ q = 4\sqrt{3}

∴ The length of q is 4\sqrt{3}

7 0
3 years ago
Find the average rate of change.<br><br> p(x) = 6x + 7 on [2, 2 + h] , h ≠ 0
siniylev [52]

Answer:

6.

Step-by-step explanation:

This is [p(2+h))  - p(2) ] /  ((2 + h - 2)

= [ 6(2) + h) + 7 - (6(2) + 7)] / h

=  (  12 + 6h + 7 - 12 - 7) / h

=  6h / h

= 6.

4 0
3 years ago
-1+19w=11w+23 answer
Greeley [361]

Answer:

w = 3

Step-by-step explanation:

19w - 1 = 11w + 23

19w - 11w = 23 + 1

8w = 24

w = 3

4 0
3 years ago
Estimate the product of 73 and 28
andreyandreev [35.5K]
Round the numbers to 70 and 30, then multiply them together to get the product of 2100
3 0
3 years ago
Read 2 more answers
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