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iren [92.7K]
2 years ago
13

PLEASE HELP ASAP

Mathematics
1 answer:
erastovalidia [21]2 years ago
7 0
A square with a side length of 8 inches would have an area of 8*8= 64 inches^2. If the area is multiplied by 36, the new area = 64*36 = 2304 inches^2. To find the new side length of the square, you take the square root of 2304, which equals 48. The side length of the square becomes 48 inches.
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A force of 3 pounds acts in the direction of 42 degrees to the horizontal. The force moves an object along a straight line from
EastWind [94]

Answer:

11.37 lb-ft

Step-by-step explanation:

We are given that

Force,F=3 pounds

\theta=42^{\circ}

Let Point  A (3,7)  and point B(8,8)

We have to find the work done by the force.

d==

r=\mid d\mid=\sqrt{x^2+y^2}=\sqrt{5^2+1^2}=\sqrt{26} feet

We know that Work done by the force

W=Frcos\theta

Substitute the values

W=3\times \sqrt{26}cos42=11.37 lb-ft

Hence, the work done by the force =11.37 lb-ft

6 0
3 years ago
Which angle pairs are supplementary? Check all that<br> apply.
Basile [38]

Answer:

The correct answers are B, C, and E.

B. < 4 and < 3

C. < 4 and < 5

E. < 3 and < 6

Step-by-step explanation:

The pairs in options B, C, and E add up to 180°, which is the definition of a supplementary angle.

Hope this helps!

8 0
2 years ago
Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
Ad libitum [116K]

<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

Putting the values from the table,

m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


3 0
3 years ago
Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their
pav-90 [236]

Answer:

Judy = $5/hr

Ben = $4/hr

Step-by-step explanation:

Judy's hours at work - x

Ben's hours at work - y

8x + 10y = 80

9x + 5y = 65

Given these two equations above, we get:

10y = 80 - 8x, which means y = 8 - 0.8x.

Substitute y in the second equation with 8 - 0.8x, so we have:

9x + 5 (8 - 0.8x) = 65

9x + 40 - 4x = 65

5x = 25

x = 5

Come back to the first equation, substitute x:

8*5 + 10y = 80

10y = 80 - 40

y = 4

3 0
2 years ago
Write the name of the period that has the digits 913.
kherson [118]
The answer is in the thousands group
4 0
3 years ago
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