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Talja [164]
3 years ago
12

Liam, Sarah and Emily shares some money in the ratio 2:3:7.

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

Emily got 7x

Liam got 2x

7x = 2x + 80

5x = 80

x = 16

Liam got 32, <u>Sarah got 48</u>, and Emily got 112

Step-by-step explanation:

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The formula for the area of a circle is 

\pi  r^{2}

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\pi  9^{2} =81 \pi

So the answer is B, 81 pi square feet
7 0
3 years ago
Is the decimal form of 13/3 a rational number? explain ​
Bumek [7]

Step-by-step explanation:

The word 'rational' in 'rational numbers' comes from the word 'ratio.' That is because rational numbers are those numbers which can be obtained when one integer is divided by another integer. For example, the number 8 is a rational number because it results when the integer 24 is divided by the integer 3, as in the ratio 24/3.

3 0
3 years ago
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

7 0
2 years ago
If f left parenthesis x right parenthesis equals x squared minus 3 x plus 5 , then f left parenthesis 4 right parenthesis equals
lord [1]

Answer:

f(4) = 9

Step-by-step explanation:

f left parenthesis x right parenthesis equals x squared minus 3 x plus 5

f(x) = x² - 3x + 5

f left parenthesis 4 right parenthesis equals

f(4) =

f(x) = x² - 3x + 5

When x = 4

f(4) = 4² - 3(4) + 5

= 16 - 12 + 5

= 9

f(4) = 9

6 0
2 years ago
Jonah cuts a board that is 33 inches long into 4 pieces of equal length. He uses the pieces for the sides of a picture frame. He
Ilya [14]
8. 1 5
4/33.00
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8.15+8=10.15

The answer is 10.15 inches long for each frame.
7 0
3 years ago
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