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sattari [20]
3 years ago
13

PLEASE HELP!!! DUE IN 10 MIN!!!

Mathematics
1 answer:
9966 [12]3 years ago
5 0

Answer:

Option B

Step-by-step explanation:

Surface area of a triangular prism = Area of the triangular sides + Area of the rectangular sides

Area of the triangular sides = 2(Area of the triangular base)

                                              = 2[\frac{1}{2}(\text{Base})(\text{Height})]

                                              = 10 × 12

                                              = 120 ft²

Area of the rectangular sides = (Perimeter of the triangular side)(Height of the prism)    

= (10 + 13 + 13)(15)

= 36 × 15

= 540 ft²

Surface area of the prism = 120 + 540

                                           = 660 square feet

Option B will be the answer.

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Solve the proportion. <br> 16<br> 50<br> =<br> x<br> 156<br> .<br> 25<br> please explain
Natali5045456 [20]
<h2><u>Answer:</u></h2>

x = 50

<h2><u>Step-by-step explanation:</u></h2>

16/50 = x/156.25

<h3>First simplify 16/50 to 8/25</h3>

8/25=x/156.25

<h3>Multiply both sides by 156.25</h3>

1250/25 = x

<h3>Simplify 1250/25 to 50</h3>

50 = x

<h3></h3>
4 0
3 years ago
The surface area of a triangular pyramid is 375.2 m2. What would change if the surface area were measured in square centimeters?
Tamiku [17]
I believe that D. The surface area of the pyramid would stay the same, but the number representing the surface area would increase is correct because when you just move it to another units, it still the same but you'll need to move the decimal two places to the left and the number 37520 cm² is greater than the number of 375.2 m²
8 0
3 years ago
Simplify this expression:<br> i ^257
Katarina [22]
Okay! 
What is i? 
i = <span>√(-1)

What is i^2? 
i^2 = </span>√(-1) * <span>√(-1) 

Note: Whenever you multiply two square roots with the same numbers you get this: 

</span><span>√(a^2)
</span>
Or in this case: 

√(-1 * -1) = -<span>√(1) = -1
</span>
So, 
i^2 = -1

What does i^3 equal? 
i^3 = √(-1) * √(-1) * √(-1) = 1 * √(-1) = <span>√(-1) which is... -i
</span>
What does i^4 equal? 
i^4 = √(-1) * √(-1) * √(-1) * √(-1) =  √(-1 * -1 * -1 * -1) = 1

After that the cycle does it thing and cycles back. 
So, with this information we can figure out what i^157 equals. 

Knowing long division here helps a lot!
Take 157 and divide it by 4 using long division. If you don't know it, I'll show you how to do it to the best of my abilities. (Refer to the picture. If you have any questions about it then ask. Even if the question is... what does this say?) 

After using long division we see that we get: 
39 with a remainder of 1. 

What that means is: 
(i^4)^39 is what we have. The remainder of 1 means that we have 1 i left. So our answer is i. 

The reason we divided by 4 and not some other term is because i^4 = 1, so it is easy to work with. In this case (i^4)^39 still just equals 1. Which leaves our remainder as our answer. 

So once again the final answer is: 
i

As for i^257. I'll show you the answer, but I won't give the work for this one. I'd recommend you try it out for yourself. 

i^257 = (i^4)^64 * i = i.

I hope that I helped, and if you have any further questions then ask away! 


8 0
3 years ago
Four yardequal Blank feet
jonny [76]
1 yard = 3 feet

3 * 4 = 12

So 4 yards is equal to 12 feet.
3 0
3 years ago
Read 2 more answers
Danny is installing a fence around his rectangular yard. His yard is 20 feet long by 45 feet wide. If the fencing he picked out
artcher [175]

Find the perimeter of the yard ( the distance around the yard).

A rectangle has two sides of each dimension.

The perimeter is 20 + 20 + 45 + 45 = 130 feet.

Now multiply the total feet by the cost per foot:

130 feet x 25 per foot = $3,250 total.

4 0
3 years ago
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