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aniked [119]
3 years ago
8

For #1-8, solve the equation for the indicated variable: Solve for x: 1. 3x + 2 = 8

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0

Steps to solve:

3x + 2 = 8

~Subtract 2 to both sides

3x = 6

~Divide 3 to both sides

x = 2

Best of Luck!

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Step-by-step explanation:

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4 years ago
-2,1,4,7,10,.....(14th term) A 36 B 32 C 37 D 31
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5 0
3 years ago
1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm. A. 1056 cm2 B. 1536 cm2 C. 816 c
Deffense [45]
We have that

<span>1. Find the surface area of a square pyramid with a base length of 24 cm and a height of 16 cm

[surface area]=[area of 4 triangles sides]+[area of square base]
</span>[area of square base]=24*24--------> 576 cm²

[area of one triangles side]
l=slant height
l²=16²+12²-------> l²=400-----------> l=20 cm
[area of one triangles side]=24*20/2--------> 240 cm²
[area of 4 triangles sides]=4*240----------> 960 cm²
[surface area]=[960]+[576]--------> 1536 cm²

the answer part 1) is option B) 1536 cm²

<span>2. Use 3.14 for π and round to the nearest tenth.
</span>Find the surface area of the cylinder<span>
radius=8 in
<span>height= 8 in
</span></span>[surface area]=2*[area of circular base]+[Perimeter of base]*h
[area of circular base]=pi*8²----> 200.96 in²
Perimeter=2*pi*8--------> 50.24 in
[surface area]=2*[200.96]+[50.24]*8-----------> 803.84 in²

the answer Part 2) is the option C) 803.8 in²

<span>3. Find the volume of the cylinder.
</span>[volume of the cylinder]=[area of circular base]*h
[volume of the cylinder]=[200.96]*8---------> 1607.68 in³

the answer Part 3) is the option A.) 1607.7 in.3

<span>4.Find the volume of a rectangular prism with the following dimensions:
Length = 5 mm
Base = 7 mm
Height = 3 mm
</span>
[volume of a rectangular prism]=L*B*H

[volume of a rectangular prism]=5*7*3----------> 105 mm³

the answer part 4) is the option <span>B.) 105 mm3

</span><span>5.Find the volume of the given pyramid.
A large pyramid has a height of 7 yards, radius of 9 yards, and base of 7 yards.
</span>this question is incorrect

the correct question is
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
or 
5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

<span>we will solve the two cases
</span>
5a) A large pyramid has a height of 7 yards and radius of 9 yards. (pyramid with circular base)
[volume of the pyramid]=pi*r²*h/3---------> pi*9²*7/3---------> 593.46 yd³

the answer Part 5a) is 593.46 yd³



5b) A large pyramid has a height of 7 yards and base of 7 yards. (pyramid with square base)

[volume of the pyramid]=b²*h/3---------> 7²*7/3---------> 114.33 yd³

the answer Part 5b) is 114.33 yd³


<span>6.Find the volume of a square pyramid with a base length of 9 cm and a height of 4 cm.

[</span>volume of a square pyramid]=b²*h/3---------> 9²*4/3-------> 108 cm³

the answer Part 6) is the option <span>B.)1</span>08 cm³
4 0
3 years ago
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