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lions [1.4K]
3 years ago
10

Find the surface area of the prism.

Mathematics
1 answer:
Anton [14]3 years ago
6 0

Answer:

\text{D. }464\:\mathrm{ft^2}

Step-by-step explanation:

The surface area of the prism consists of four rectangles and two trapezoids. The sum of the areas of these polygons will give the total surface area of the prism:

Rectangle 1 (top base): 12\cdot 14=168

Rectangle 2 (bottom base): 6\cdot 14 = 84

Trapezoids 1 and 2 (lateral): 2\cdot 9 \cdot 4=72

Rectangles 3 and 4 (lateral): 2\cdot 14\cdot 5=140

Thus the total surface area is equal to

168+84+72+140=\boxed{\text{D. }464\:\mathrm{ft^2}}

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Solve for x. <br><br> x + 3x + 5 =21
timurjin [86]

Answer:

x=4

Step-by-step explanation:

In order to solve for x, we must isolate x on one side of the equation.

x+3x+5=21

First, combine like terms. x and 3x are both terms with variables, and can be combined.

(x+3x) + 5=21

4x + 5=21

5 is being added to 4x. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

4x+5-5= 21-5

4x= 16

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

4x/4=16/4

x= 16/4

x=4

Let's check our solution. Plug 4 in for x and solve.

x+3x+5=21

4+3(4)+5=21

4+12+5=21

16+5=21

21=21

This solution checks out, so we know our answer is correct.

x is equal to 4, x=4.

4 0
3 years ago
Read 2 more answers
What’s The definition of linear in Math
matrenka [14]

Answer:

an equation of the first degree in any number of variables.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
14) A solid metallic block measures 1.5m long, 0.4m wide and 0.25m high. The solid is made of
GREYUIT [131]

Answer:

<h3>The answer is </h3><h3 /><h3>1125 Kg</h3>

Step-by-step explanation:

To find the mass in kg we must first convert the density from g/cm³ to kg/m³

That's 7.5 g/cm³ = 7500kg/m³

Density = mass / volume

Volume of block = 1.5 × 0.4 × 0.25

= 0.15m³

mass = Density × volume

= 7500 × 0.15

<h3>= 1125 Kg</h3>

Hope this helps you

7 0
3 years ago
reposting cuz i need this asap for the one i circled do i find the hypotenuse or leg? pls help. i don’t need the answer i just n
Kaylis [27]

Answer:

Hypotenuse

Step-by-step explanation:

For this problem you are given the vertical and horizontal sides of the triangle. The flagpole (6.5 meters) is the up-and-down triangle side and the distance from the hook to the flagpole is the base (5.2 meters) of the triangle.

Hope this helps!

5 0
3 years ago
What does "n" equal in N+2n+20-4=12+3n?
stira [4]
N+2n+20-4=12+3n
3n+20-4-12=12-12+3n
3n+4=3n
3n/3 + 4= 3n/3
n+4=n
n+4-4=n-4
n=n-4

theres no further simplification, unless i messed up ...
8 0
3 years ago
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