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Drupady [299]
4 years ago
11

POLYGONS ABCD & EFGH ARE SIMILAR. WHAT IS THE PERIMETER OF EFGH WHEN AD = 12, BC = 8, FE = 15, FG = 10, and GH = 5?

Mathematics
1 answer:
zzz [600]4 years ago
5 0
It would be helpful to draw the figures, you will see that for ABCD there 2 lacking side lengths which are AB and CD. For EFGH, there is one lacking side length which is EH. We use the ratios of the corresponding sides to determine side EH. We do as follows:

FG / BC = EH / AD
10 / 8 = EH / 12 
EH = 15

Therefore, the perimeter would be:

15+10+5+15 = 45 units
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What is the volume of a cone (in cubic inches) with a radius of 2 inches and a height of 3 inches?
gayaneshka [121]

12.56 cubic inches

Step-by-step explanation:

Volume of a cone= π r² h/3

3.14*2*2*3/3

3.14*4*3/3

12.56*3/3

=12.56 cubic inches

4 0
3 years ago
Solve by substitution, elimination, or graphing. Show your work.
Flura [38]
1. 3t + 2b = 16....multiply by -3
    5t + 3b = 25...multiply by 2
   ----------------
    -9t - 6b = -48 (result of multiplying by -3)
    10t + 6b = 50 (result of multiplying by 2)
  ---------------- add
   t = 2

3t + 2b = 16
3(2) + 2b = 16
2b = 10
b = 5

so tacos (t) cost $ 2 and burritos (b) cost $ 5
===================
d + q = 75......d = 75 - q
0.10d + 0.25q = 10.95

0.10(75 - q) + 0.25q = 10.95
7.50 - 0.10q + 0.25q = 10.95
0.15q = 3.45
q = 23....so there are 23 quarters
=====================
x = 2 point shots, y = 3 point shots
x + y = 24.....multiply by -2
2x + 3y = 54
----------------
-2x - 2y = -48 (result of multiplying by -2)
2x + 3y = 54
----------------add
y = 6.......so there was 6 three point shots

x + y = 24
x + 6 = 24
x = 18......and 18 two point shots
======================
5.50g + 5 = 2.50g + 17
5.50g - 2.50g = 17 - 5
3g = 12
g = 4......they will cost the same with 4 game rentals
less then 4 rentals, use Fun Guys....more then 4, use Game Bank
=======================
(2,5)(4,9)
slope = (9 - 5) / (4 - 2) = 4/2 = 2

y = mx + b
slope(m) = 2
(2,5)...x = 2 and y = 5
now sub and find b, the y int
5 = 2(2) + b
5 = 4 + b
5 - 4 = b
1 = b
so ur equation is : y = 2x + 1 (line A)

(0,5)(3,8)
slope = (8 - 5) / (3 - 0) = 3/3 = 1

y = mx + b
slope(m) = 1
(0,5)...x = 0 and y = 5
now sub
5 = 1(0) + b
5 = b
so ur equation is : y = x + 5 (line B)

y = 2x + 1
y = x + 5

2x + 1 = x + 5
2x - x = 5 - 1
x = 4

y = 2x + 1
y = 2(4) + 1
y = 8 + 1
y = 9
so they will meet at (4,9)
=====================
sorry..not 100% sure about the bonus

    
4 0
3 years ago
Maths
tamaranim1 [39]

Answer:

  • 12 : 1

Step-by-step explanation:

<u>The volume of a cylinder:</u>

  • V = πr²h, where r-radius, h-height

<u>New dimensions of the cake:</u>

  • r1  → 2r and h1→ 3h

<u>The volume of the bigger cake:</u>

  • V1 = π*(2r)²*(3h) = 12*πr²h = 12V
  • V1/V = 12

The ration of volumes is 12 : 1

5 0
4 years ago
Which one of these is the identity for addition<br><br>A. -1<br><br>B.0<br><br>C.1​
ludmilkaskok [199]

Answer:

A

Step-by-step explanation:If you subtract a negative number you always add remember that.

4 0
3 years ago
Read 2 more answers
Can u help me solve the problem plzzzzz​
lord [1]

Step-by-step explanation:

This is the same as

( \frac{2}{3} ) {}^{5 {}^{0.4} }  =  \frac{2}{3}  {}^{2}  =  \frac{4}{9}4/9 is the answer

5 0
3 years ago
Read 2 more answers
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