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alexira [117]
3 years ago
12

A water hose had filled up 1/9 of a pool after

Mathematics
1 answer:
OleMash [197]3 years ago
6 0

Answer:

x=2.25hrs

Step-by-step explanation:

1/9 =1/4hr

9/9=x

(9/9)/(1/9)=1/4.xhr

1/9=1/4.xhr

cross multiplying

4x=9

x=9/4

x=2.25hrs

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The length of a rectangle is five times its width. The perimeter of the rectangle is at most 96 cm.
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3 years ago
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In triangle ABC, AB = 90 in., BC = 80 in., and angle B measures 50°. What is the approximate perimeter of the triangle?
Monica [59]

Answer:

The answer to your question is Perimeter = 287.3 in

Step-by-step explanation:

AB = 90 in

BC = 80 in

∠B = 50

Perimeter = ?

Process

1.- We need to find AC using Law of sines

\frac{sin A}{80} = \frac{sin 50}{90}

       sin A = \frac{80}{90} sin 50

       sin A = 0.68

              A = 42.9 ≈ 43

The sum of the internal angles in a triangle equals 180°

       A + B + C = 180°

       43 + B + 50 = 180

       B = 180 - 43 - 50

       B = 87°

\frac{AC}{Sin 87} = \frac{90}{sin 50}

AC = 90 \frac{sin 87}{sin 50}

      AC = 117.3

2.- Find the perimeter

     Perimeter = AB + BC + AC

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5 0
3 years ago
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M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?
Nutka1998 [239]

Answer

m<3  = 49°

Step-by-step explanation:

It is given that,


M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC


m<DEF = m<1 + m<2 = 50° + 48° = 98°


Corresponding angle of <DEF is equal to <ABC = 98°


To find m<3


< 4 = <5 = 98/2 = 49° (Since line s bisects ∠ABC)


Therefore,

m<3 = 49°  (< 4 and <3 are vertically opposite angles)



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