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3 years ago

The scale model of a skyscraper being built is 4.2 feet tall.

1 answer:

7 0

A. Convert 4.2 feet to meters. 4.2 feet = 1.28016 meters. The Formula of Scale = Big / Small
Scale = 525 meters / 1.28016 meters
Scale = 410.1050 meters

b. Convert 4.2 feet to inches. 4.2 feet = 50.4 inches.
To get the number of plywood, divide 50.4 inches by 0.6 inch. The answer is 84. So there are 84 plywood sheets.

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What is the slope of the line passing through the point (-3,-1) and the origin?

topjm [15]

The slope is rise of 1, run of 3 so 1/3. In an equation it would be y = 1/3x

4 0

3 years ago

Find the length of each side of the polygon for the given perimeter. P = 48

Vaselesa [24]

Answer:

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

Step-by-step explanation:

The perimeter is the sum of the sides

x+x+ 2x + x-2 = 23

Combine like terms

5x-2 = 23

Add 2 to each side

5x-2+2 = 23+2

5x = 25

Divide each side

5x/5 = 25/5

x = 5

The top is 5

The right side is 5

The bottom is 2x = 2*5 = 10

The left is 5-2 = 3

6 0

3 years ago

What is the sum of the geometric series?

Dvinal [7]

Essentially this is asking you to sum the first three values of the geometric series that starts with i being 1 and has the rule of ( $8(\frac{1}{4})^{i-1}$ ).

Since we must sum the first three geometric values we need to see what the value of i will be for the first three. The sigma notation shows us that the first i will be equal to 1. This means the second i is 2 and the third i is 3.

Knowing this you can plug in the corresponding i values into ( $8(\frac{1}{4})^{i-1}$ ) and sum it all together

( $8(\frac{1}{4})^{1-1}$ ) + ( $8(\frac{1}{4})^{2-1}$ ) + ( $8(\frac{1}{4})^{3-1}$ )

( $8(\frac{1}{4})^{0}$ ) + ( $8(\frac{1}{4})^{1}$ ) + ( $8(\frac{1}{4})^{2}$ )

( $8(1)$ ) + ( $8(\frac{1}{4})$ ) + ( $8(\frac{1}{16})$ )

(8) + (2) + ( $\frac{1}{2})$ )

10 + $\frac{1}{2})$

$\frac{21}{2})$

10.5

Hope this helped!

~Just a girl in love with Shawn Mendes

8 0

3 years ago

Solve Systems by Substitution 2x+5y=-3 x+8y=4 and 2x+y=7 x-2y=-14

ASHA 777 [7]

2x + 5y = -3 ⇒ 2x + 5y = -3
1x + 8y = 4 ⇒ 2x + 16y = 8
 -11y = -11 
 -11 -11
 y = 1
 2x + 5(1) = -3
 2x + 5 = -3
 -5 -5
 2x = -8
 2 2
 x = -4
 (x, y) = (-4, 1)

2x + 1y = 7 ⇒ 2x + 1y = 7
1x - 2y = -14 ⇒ 2x - 4y = -28
 5y = 35
 5 5
 y = 7
 2x + 7 = 7
 -7 -7
 2x = 0
 2 2
 x = 0
 (x, y) = (0, 7)

4 0

3 years ago

15. What might explain the concern female students expressed in the beginning of this lesson about the problem of assigning prac

yanalaym [24]

Answer:

Interestingly, the likelihood of a randomly chosen student being a female is 0.58 at this school.

Step-by-step explanation:

This school features more female students than male students. Consequently, if resources are allocated equally (because it has been found that both female and male male students are similarly likely to be involved), the number of female students involved in after-school athletics programs is greater than the number of male students and could clarify the facilities issues.

3 0

3 years ago