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dlinn [17]
4 years ago
11

Each base of a triangular prism is a right triangle with side lengths 3 inches, 4 inches, and 5 inches. The height of the prism

is 7 inches. What is the surface area?
Mathematics
1 answer:
Gnom [1K]4 years ago
6 0
<span>Area of the base = 3*4 / 2 = 6
</span><span>Area of BOTH bases = 12 sq inches
Area of one face = 3 * 7 = 21 sq inches
</span>Area of 2nd face = 4 * 7 = 28 <span>sq inches
</span>Area of 3rd face =  5 * 7 = 35 <span>sq inches

TOTAL Area = 96 </span><span>sq inches</span>

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The gasoline gauge on a van initially read one third
Zigmanuir [339]
3/4 - 1/3 = 9/12 - 4/12 = 5/12

(5/12) / 10 = 1 / x
5/12x = 10
x = 10* 12/5
x = 120/5 = 24 gallons...so when full, the tank holds 24 gallons

so if it is already 3/4 full, then u just need 1/4 to fill
1/4(24) = 24/4 = 6......so u would need 6 more gallons to fill the tank up to full capacity.

7 0
4 years ago
I have a goal of getting exactly $100. But I have to pay a tax of 10%. How much money do I need to get in order to have exactly
frosja888 [35]
<h3>Answer:  $111.11</h3>

=======================================================

Explanation:

Let's say you earn x dollars.

You pay 10% tax on that, which means you pay 0.10x dollars.

This would drop to x-0.10x = 0.90x which is the amount earned after tax.

So you pay 10% of what you earn, and keep 90% of the rest.

Set this equal to the target $100 you want and solve for x.

0.90x = 100

x = 100/0.90

x = 111.11

Notice that 10% of this is 0.10*x = 0.10*111.11 = 1.11 when rounding to the nearest penny. So you'll pay $1.11 in tax. Therefore, you'd have x-0.10x = 111.11 - 1.11 = 100 left over. So the answer checks out.

7 0
3 years ago
Can someone please help me I will mark u brilliant
Oliga [24]

Answer:

The answer is 7/20 miles.

Step-by-step explanation:

Just multiply 7/6 x 2/5, then you have the answer

7 0
3 years ago
Michael is taking a 500 mile road trip if he is 48% of the way there how many miles has he driven​
Natalka [10]

Answer:

Step-by-step explanation:

500× 48 %=240 miles

8 0
3 years ago
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 42 and the common rati
Mashutka [201]

we are given

first term is

a_1=42

common ratio is

r=\frac{3}{4}

now, we can find nth term

a_i=a_1(r)^{i-1}

now, we can plug values

a_i=42(\frac{3}{4})^{i-1}

now, we can write in sigma form

sum=\sum _{i=1}^{\infty }\:42(\frac{3}{4})^{i-1}

now, we can find sum

we can use formula

sum=\frac{a}{1-r}

now, we can plug values

we get

sum=\frac{42}{1-\frac{3}{4}}

sum=168

so, option-D.................Answer

3 0
4 years ago
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