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There are eight volunteers at the election. The goal for the evening is to raise $952. If each volunteer raises the same amount,

Stells [14]

Each volunteer has to raise 119 dollars

4 0

2 years ago

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Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro

Ilya [14]

The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

$A = \pi \times (r)^2$ sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

$A = \pi \times (\dfrac{d}{2})^2$ sq. units

For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: $A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2$

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

$\rm T \times 5\: ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours$

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

8 0

2 years ago

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Find the value of y. Round your answers to the nearest tenth

ANTONII [103]

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

$\frac{AB}{RS}$ = $\frac{ED}{VU}$ , substitute values

$\frac{6}{4}$ = $\frac{8}{y+1}$ ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

4 0

2 years ago

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Find the slope of a line parallel to this given line

dybincka [34]

bearing in mind that parallel lines have the same exact slope, then any parallel line to the one above will have the same slope as that one.

$\bf \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \qquad \implies y = \stackrel{\stackrel{m}{\downarrow }}{-\cfrac{7}{3}}x-4$

3 0

3 years ago

6 + −28 − x = -2<br> -------------<br> x

nexus9112 [7]

The answer is x=-20.
6+ -28 -x =-2
You first add 28 to each side=6+-x=26 then you minus 6 from each side=-x=20.
Then you divide 20 by -x resulting in x=-20

3 0

3 years ago

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