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tangare [24]
3 years ago
6

What is the slope of the line

Mathematics
1 answer:
zhuklara [117]3 years ago
6 0
The slope of a line is the difference between the x-line and the y-line. Rise/run
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Paul needs to buy paint to cover all outside surfaces of his shed, depicted below. How much area, in square yards, does he need
Alekssandra [29.7K]

Answer:

Area = 145.7 Square yards

Step-by-step explanation:

Since there is no picture attached to depict the house and its dimension, I am taking values of a similar problem.

<em><u>Dimensions of Shed</u></em>

2 walls with dimensions of 15 ½ ft. by 12 ft.

2 walls with dimensions of 25 ¼ ft. by 12 ft.

Ceiling with dimensions of 15 ½ ft. by 25 ¼ ft.

2 windows that are each 2 ft. by 4½ ft. as well as an 8-ft. by 5-ft. door

<u>Solution</u>

We need to find the total wall area and ceiling area which when combined will give us the total area shed's outer surface that needs to be painted.

For total area of the wall, we need to first find the sum of area for each wall and subtract area of windows and door

Wall Area = Area of 1st two walls+Area of other two walls-Area of 2 windows-Area of door=[15.5(12)(2)] + (25.25) (12) (2) - (2)(2) (4.5) -(8)(5)

Wall Area = 371 + 606 - 17 - 40

Wall Area = 920 square ft = 102.2 square yards

Ceiling Area is just the area of the ceiling

Ceiling Area = (15.5) (25.25 )

Ceiling Area = 391.375 square ft= 43.486 square yard

<u>Total Area = Wall Area+Ceiling Area </u>=102.2+43.486=145.7 Square yards

Which is the area paul needs to cover with paint.

<em>Note: Converted Square foot to square yard as the problem requires that.</em>

8 0
4 years ago
A math class has three girls and 7 boys in the 7th grade and five girls and five boys in the 8th grade the teacher randomly sele
Anuta_ua [19.1K]

Answer:

7/20

Step-by-step explanation:

Seventh grade: Total = 3 + 7 = 10

Number of boys = 7 boys

Probability of a boy being picked = 7/10

Eighth grade: Total 5 + 5 = 10

Number of boys = 5

Probability 5/10 = 1/2

The probability of the correct outcome = 7/10  *  1/2  = 7 / 20

Answer: 7 / 20

7 0
4 years ago
An unknown capital gets added 5% interest per year by a bank. After how many years does the capital get three times as big, cons
shepuryov [24]

Answer:

After 23 years , the capital will get three times as big

Step-by-step explanation:

Firstly, let us write the compound interest formula

P = I( 1 + r)^n

Since we are considering a capital rise of 3 times

If I, the initial value is x, the P

value later will be 3x

Interest rate is 5/100 = 0.05

so we need the value of t

This will be;

3x = x(1 + 0.05)^t

3= 1.05^t

ln 3 = t ln 1.05

t = ln 3/ln 1.05

t = 23 years

6 0
3 years ago
What is the angle of Z?
gizmo_the_mogwai [7]

Answer:

Angle Z is 33.

Step-by-step explanation:

Angle Z is also 33. X and Z are equivalent angle therefore it has to be 33 as well.

3 0
3 years ago
What is the answer to this question?
saul85 [17]
B is the correct answer
8 0
4 years ago
Read 2 more answers
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