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Zigmanuir [339]
3 years ago
14

Diane keeps all of her toys on a shelf. The shelf is 24" long and 7" wide. If the wdith the shelf is doubled, what would happen

to the total area of the shelf?
Mathematics
1 answer:
goblinko [34]3 years ago
6 0

Step-by-step explanation:

Given that,

The length of the shelf = 24 inches

The width of the shelf = 7 inches

Area of the shelf, A = 24 × 7

= 168 inch²

When the width of the shelf is doubles,

New width = 14 inch

New area, A' = 14×24

= 336 inch²

It means,

A' = 2(A)

So, the new area becomes 336 inch² i.e. twice the initial area.

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The circular play area has a diameter of 16 feet. There is a walkway that surrounds the play area and is 3 feet wide. What is th
patriot [66]

Answer:

If you use 3.14 as an approximation for PI, the answer will be A) 179 sq. feet.

Step-by-step explanation:

The process to determine the area of the sidewalk is computed by figuring the area of the outer circle (Diameter = 16' + 3' + 3') and subtracting the area of the fountain (Diameter = 16') from that.

Area of Circle = PI times Radius squared

Outer circle radius = (22 ft /2) = 11 ft

Area of outer circle (includes fountain area too) = 3.14 x 11 x 11 = 379.94 ~ 380

Inner circle radius = (16 ft / 2) = 8 ft

Area of Fountain = 3.14 x 8 x 8 = 200.96 ~ 201

Area of sidewalk =  380 - 201 =  179

Read more on Brainly.com - brainly.com/question/11852368#readmore

4 0
3 years ago
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles will he need? Dmitri w
marta [7]

The number of tiles needed to cover the surface area of the box excluding the bottom is: 1,046 tiles.

<h3>What is the Surface Area of a Box?</h3>

The surface area of a box is the area surrounding all its faces. A box has 6 rectangular faces. Therefore, the total surface area of the box equals the sum of all 6 rectangular faces.

<h3>What is the Surface Area of a Box?</h3>

SA = 2(lw + lh + hw), where:

  • l = length
  • w = width
  • h = height of the box

The image attached below shows the box Dmitri wants to cover. Since the bottom of the box would be excluded, therefore:

The surface area to be covered = surface area of the box - area of the bottom rectangular face

The surface area to be covered = 2(lw + lh + hw) - (l)(w)

l = 26

w = 15

h = 8

Substitute

The surface area to be covered = 2(l×w + lh + hw) - (l)(w) = 2·(15·26+8·26+8·15) - (26)(15) =

The surface area to be covered = 1436 - 390 = 1,046 cm

Area of one tile = 1 cm square

Number of tiles needed = 1,046/1

Number of tiles needed = 1,046 tiles.

Learn more about Surface Area of a Box on:

brainly.com/question/26161002

#SPJ1

7 0
1 year ago
Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B
marishachu [46]
Time it took runner A to complete the marathon = 26.2 / 5.6 = 4 hrs 41 mins
Time it took runner B to complete the marathon = 26.2 / 6.4 = 4 hrs 6 mins

Time it took runner B to complete the marathon relative to when runner A started = 30 mins + 4 hrs 6 mins = 4 hrs 36 mins

Therefore, runner B will finnish ahead of runner A.

Let x be the time the two runners are at the same point, then
5.6x + 5.6(0.5) = 6.4x
6.4x - 5.6x = 2.8
0.8x = 2.8
x = 2.8/0.8 = 3.5
Therefore, runner B will catch up with runner A 3.5 hours after runner A starts the race.
<span>Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.</span>

5 0
2 years ago
Precalculus question. Please help me and thank you .
VLD [36.1K]

We know,

sin(x) and cos(x) have minimum value equal to -1 and maximum value is 1.

Maximum value of sin(x) is 1

So we replace sin by 1 in our given equation

y=-2+5sin(\frac{\pi }{12}(x-2))

When we replace sin by 1 we will get

y=-2+5(1))

y= -2+5 = 3

So maximum value is 3


4 0
3 years ago
The figure in Quadrant III of the coordinate plane below is a transformation of the figure in quadrant II.
BARSIC [14]

Answer: 2nd option, 3rd option, and the last option are all correct

5 0
3 years ago
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