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kifflom [539]
4 years ago
9

Does anyone have the answers to this worksheet

Mathematics
1 answer:
fgiga [73]4 years ago
3 0
I can't see paper. Maybe try to take a picture closer and more bright and clear.
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A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?
Lady bird [3.3K]

Answer:

Length = 6 inches, Width = 10 inches

Step-by-step explanation:

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches. What are the dimensions of the shingle?

Note :

L = Length

W = Width

The perimeter of a rectangle = 2( L + W)

The area of a rectangle = LW.

A rectangular roof shingle has a perimeter of 32 inches and an area of 60 square inches.

32 = 2( L + W)

Divide both sides by 2

16 = L + W.... Equation 1

L = 16 - W

Also:

LW = 60....... Equation 2

Let us substitute 16 - W for L in Equation 2

(16 - W)W = 60

16W - W² = 60

W² - 16W + 60 = 0

W² - 6W - 10W + 60 = 0

W(W - 6) - 10(W - 6) = 0

W - 6 = 0, W = 6 inches

W - 10 = 0, W = 10 inches

Solving for L

W = 10

L = 16 - 10

L = 6 inches

Therefore, the dimensions of the shingle =

Length = 6 inches, Width = 10 inches

3 0
3 years ago
Find the measure of DF
WITCHER [35]

Answer:

144 = arc DF

Step-by-step explanation:

Inscribed Angle = 1/2 Intercepted Arc

72 = 1/2  arc DF

Multiply by 2

2*72 = arc DF

144 = arc DF

4 0
3 years ago
Substitution method <br><br> x-7y=-9<br> -x+8y=10
max2010maxim [7]

Answer:

x = -2, y=1

Step-by-step explanation:

x-7y=-9---------------------equation 1

-x+8y=10-------------------equation 2

From equation 1, make x the subject of formula

x=7y-9----------------------equation 3

substituting x=7y-9 in equation 2,

-(7y-9)+8y=10

Expanding bracket

-7y+9+8y=10

Collecting like terms

8y-7y=10-9

y=1

substituting y=1 in 3

x=7(1)-9

x=7-9

x=-2

7 0
3 years ago
It is estimated that there are 21 deaths for every 10 million people who use airplanes. A company that sells flight insurance pr
Yuki888 [10]

Answer:

$0.79 profit per person who buys a policy

Step-by-step explanation:

For every 10 million people who buy a policy the expected outcome is

<em>$(21*100,000) = $2,100,000  (21 deaths out of 10 million)</em>

the expected income is  

$10,000,000  ($1 per sold policy)

So the <em>expected profit </em>is

$10,000,000 - $2,100,000 = $7,900,000

To obtain how much the insurance company can make for each policy that it sells, we <em>cross multiply </em>

10,000,000 people ---------> $7,900,000 profit

1 person   -----------------------> x

and

10,000,000=7,900,000/x and x = $0.79 profit per person who buys a policy

4 0
4 years ago
If 81 is added to a number the result is 39 less than three times the number
Deffense [45]

let x =the number

Step-by-step explanation:

81+x=3x-39

group like terms

81+39=3x-x

120=2x

120/2=2x/2

60=x

therefore x =60

4 0
3 years ago
Read 2 more answers
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