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Gwar [14]
3 years ago
11

Karli's shadow is 60inches long. A nearby fire hydrant cast a shadow 40inches Long. If Kali is 48 inches tAll what is the height

of the fire hydrant
Mathematics
1 answer:
Naily [24]3 years ago
3 0


This question involves ratios.You will use them as fractions.

60:40

48:x

You will need to solve for x, so make fractions.

60/48 = 40/x

Now you'll cross multiply:

1920 = 60x

Divide both sides by 60.

1920/60 = 32.

The fire hydrant is 32 inches tall.


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Alinara [238K]

Answer:

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Step-by-step explanation:

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3 years ago
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11. In AWTY, if mZW is five less than twice mZY and mZX is 21 more than m_Y find the measure
wolverine [178]

9514 1404 393

Answer:

  angles (W, X, Y) = (77°, 62°, 41°)

Step-by-step explanation:

<u>Given</u>:

  ΔWZY

  ∠W = 2(∠Y) -5°

  ∠X = ∠Y +21°

<u>Find</u>:

  ∠X, ∠Y, ∠W

<u>Solution</u>:

Using angle measures in degrees, we have ...

  ∠X + ∠Y + ∠Z = 180

  (∠Y +21) +∠Y + (2(∠Y) -5) = 180

  4(∠Y) +16 = 180 . . . . . simplify

  ∠Y +4 = 45 . . . . . . . . . divide by 4

  ∠Y = 41 . . . . . . . . . . . . subtract 4

  ∠W = 2(41) -5 = 77

  ∠X = 41 +21 = 62

The angle measures of angles (W, X, Y) are (77°, 62°, 41°), respectively.

7 0
2 years ago
PLEASE!!!! I NEED AN ANSWER
MaRussiya [10]

Step-by-step explanation:

I believe this would be A or D

6 0
2 years ago
Begin by clearly stating the problem; you can copy this from the problem set file. Show how you solved the problem step by step,
iogann1982 [59]

Answer:  13%

Step-by-step explanation:

We know that the formula to find the simple interest :

I=Prt, where P is the principal amount , r is rate (in decimal )and t is the time period (in years).

Given : Albert borrowed $19,100 for 4 years. The simple interest is $9932.00. Find the rate.

i.e. P = $19,100 and  t= 4 years and I = $9932.00

Now, Substitute all the values in the formula , we get

9932=(19100)r(4)\\\\\Rightarrow\ r=\dfrac{9932}{19100\times4}\\\\\Rightarrow\ r=0.13\ \ \ \text{[On simplifying]}

In percent, r=0.13\times100\%=13\%

Hence, the rate of interest = 13%

3 0
2 years ago
The base of a parallelogram is 18 inches longer than three times the height. The area of the parallelogram is 216 square inches.
nordsb [41]

Answer:

12 inches

Step-by-step explanation:

Let b represent the base

h represents the height

area of the parallelogram = base * height = 216 square inches

From the question'

b = 18 + 3h

Slot in the value of b

216 = (18 + 3h) * h

expand

216 = 18h + 3h^2

subtract 216 from both sides

0 = 18h + 3h^2 - 216

rearrange

3h^2 + 18h - 216 = 0

divide through by 3

h^2 + 6h - 72 = 0

Now, lets solve!

h^2 + 6h - 12h - 72 = 0

h( h + 6 ) - 12(h + 6) = 0

(h - 12) (h + 6) = 0

h - 12 = 0

h = 12

and

h + 6 = 0

h = - 6

Taking the positive value of h

Hence, the height is 12 inches

Lets check

when h = 12 inches

Area of the parallelogram = 18* 12 = 216 square inches     .... correct

when h = -6inches

A = 18 * -6 ≠  216 square inches

So height is 12 inches

5 0
3 years ago
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