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3 years ago

15, explanation and answer

Mathematics

1 answer:

Alex17521 [72]3 years ago

3 0

Answer:

10 gallons of paint

Step-by-step explanation:

First, find the surface area of the monument.

From inspection, this is made up of 4 congruent rectangles and 4 congruent triangles.

Area of a rectangle = width x length

Therefore, area of one rectangle of the monument:

13 x 40 = 520 ft²

Area of triangle = 1/2 x base x height

Therefore, area of one triangle of the monument:

1/2 x 13 x 11 = 71.5 ft²

Therefore, total surface area of the monument

= 4 x SA of rectangle + 4 x SA of triangle

= 4 x 520 + 4 x 71.5

= 2080 + 286

= 2366 ft²

We are told that one gallon of paint can cover 239 ft², and that paint can only be bought by the gallon.

Divide the total surface area of the monument by the area one gallon of paint can cover to calculate how many cans of paint are needed.

2366 ÷ 239 = 9.89958159...

Therefore, 10 gallons of paint must be bought (since we need to round up as paint can only be bought by the gallon).

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Hikers spent the following amounts of time (in minutes) to complete a nature hike:48, 46, 52, 57, 58, 52, 61, 56.

Solnce55 [7]

For A for the mean just add them all up which would be which is 430 and divide by the number of numbers there is so 430 divided by 8 = 53.75 and the median order them from least to greatest and find the one in the middle which is 52 and 56 when there's two just add them and then divide it by 2 which is 54

Hope this helped :)

8 0

3 years ago

Read 2 more answers

The area of a rectangle is 265.5 m2. If the length is 18 m, what is the perimeter of the rectangle?

julia-pushkina [17]

Answer:

65.5 m

Step-by-step explanation:

Step 1. Find the width of the rectangle.

The formula for the area of a rectangle is

A = lw

Data:

A = 265.5 m²

l = 18 m

Calculation:

265.5 = 18w

w = 265.5/18 = 14.75 m

Step 2. Calculate the perimeter

The perimeter (P) of a rectangle is the sum of the lengths of its sides.

P = 2(l + w) = 2(18 + 14.75) = 2 × 32.75 = 65.5 m

The perimeter of the rectangle is 65.5 m.

4 0

3 years ago

Anyone, please help me please answer my question because I have to pass this tomorrow morning:(

Wittaler [7]

Step-by-step explanation:

If you need help with how I got my answer, you can ask me.

$\frac{2yx {}^{ - 4} }{(x {}^{ - 4}y {}^{4}) {}^{3} \times 2x {}^{ - 1}y {}^{ - 3} }$

$\frac{2yx {}^{ - 4} }{x {}^{ - 12}y {}^{12} \times 2x {}^{ - 1}y {}^{ - 3} }$

$\frac{2y x {}^{ - 4} }{2x {}^{ - 13} y {}^{ - 9} }$

$= x {}^{9} y {}^{ - 8}$

$= \frac{x {}^{9} }{y {}^{8} }$

12.

$( \frac{2u {}^{ 4} }{ - u {}^{2}v {}^{ - 1} \times 2uv {}^{ - 4} } ) {}^{ - 1}$

$( \frac{2u {}^{4} \times 1 }{ - 2 {u}^{3}v {}^{ - 5} } ) {}^{ - 1}$

$( - u v {}^{ 5} ) {}^{ - 1}$

$= - u {}^{ - 1} v {}^{ - 5} = - \frac{ 1}{uv {}^{5} }$

13.

$- \frac{2m {}^{4}n {}^{ - 1} }{( - m {}^{2}n {}^{ - 2}) {}^{ - 1} \times - nm {}^{ - 3} }$

$- \frac{2m {}^{4}n {}^{ - 1} }{ - m {}^{ - 2} n {}^{2} \times - nm {}^{ - 3} }$

$- \frac{2m {}^{4} n {}^{ - 1} }{m {}^{ - 5}n {}^{3} } = - 2m {}^{9} n {}^{ - 4}$

$= - \frac{2m {}^{9} }{n {}^{4} }$

14.

$( \frac{x {}^{3}y {}^{ - 4} }{ - {x}^{2} y {}^{ - 3} \times yx {}^{0} } ) {}^{3}$

$( \frac{x {}^{3}y {}^{ - 4} }{ - {x}^{ - 2}y {}^{ - 2} } ) {}^{3}$

$( - {x}^{5} y {}^{ - 2} ) {}^{3} = - x {}^{15} y {}^{ - 6}$

$- \frac{x {}^{15} }{ {y}^{6} }$

15.

$- \frac{yx {}^{4} \times - {y}^{3} z { }^{ - 4} }{(z {y}^{2} ) {}^{4} }$

$- \frac{ - y {}^{4} x {}^{4} z {}^{ - 4} }{ {z}^{4} y {}^{8} } = - y {}^{4} x {}^{4} z {}^{ - 8} = - \frac{(xy) {}^{4} }{ {z}^{8} }$

16.

$\frac{h {}^{7}j {k}^{4} }{4h {}^{4} } = \frac{1}{4} h {}^{3} = \frac{h {}^{3} jk {}^{4} }{4}$

6 0

2 years ago

PLEASE HELP!!!!!

Zinaida [17]

An image is translated and reflected.

3 0

3 years ago

In AHIJ, the measure of ZJ=90°, IJ = 5 feet, and JH = 3.2 feet. Find the measure of

Dominik [7]

Answer:

32.6

Step-by-step explanation:

opp/adj = 3.2/5

I= tan -1(3.2/5)

I =32.6192

=32.6

3 0

3 years ago