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Arte-miy333 [17]
3 years ago
15

Solve the question below, please.

Mathematics
1 answer:
Ne4ueva [31]3 years ago
6 0

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, Cos(C) = \frac{a^2 + b^2 - c^2}{2ab}, to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40}

Cos(C) = \frac{3,524}{4,000}

C = Cos^{-1}(\frac{3,524}{4,000})

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22}

Cos(C) = \frac{808}{1,320}

C = Cos^{-1}(\frac{808}{1,320)}

C = 52.26° (nearest hundredth)

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You purchase 2 action figures per week. You have 48 action figures, which is 75% of the total number of action figures you need
LiRa [457]

Answer:

Step-by-step explanation:

Let the total number of action figures = x

75% of x = 48

\dfrac{75}{100}*x=48\\\\Multiply \ by \ 100\\\\75*x =48*100\\\\Divide  \ by \ 75\\\\x=\dfrac{48*100}{75}\\\\\\x=16*4\\\\x= 64

Remaining action figures need to be collected = total figures - number of action figures I have

= 64 - 48 = 16

Number of weeks = 16 ÷ 2 = 8

It will take 8 weeks to collect 16 action figures.

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What is 15% of 82? <br><br> PLEASE HELP ME IT I DON'T KNOW IT
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Step-by-step explanation:

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A theatre holds 1200 people when full.If it is 80% full,how many people are present
CaHeK987 [17]

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3 years ago
Am I correct? ( top question)
EastWind [94]

Answer:

72

Step-by-step explanation:

<1 and <2 are not equal to each other

Let the angle  directly above angle 2 (on the right side of the line) be angle 3

<1 and <3 are corresponding angle, which means they are equal

<2 and <3 are supplementary angles since the form a line

<2 + <3 = 180

We know <1 = <3

<1 + <3 = 180

We are given <1 = 2x+12  and <2 = 3x+18

2x+12 + 3x+18 = 180

Combine like terms

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Subtract 30 from each side

5x+30-30 = 180-30

5x= 150

Divide each side by 5

5x/5 = 150/5

x=30

<1 = 2x+12

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3 years ago
Express 11011 in base two ​
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Answer:

27

Step-by-step explanation:

Hello,

11011 in base 2 is

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Do not hesitate if you have any question

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