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3 years ago

HELP PLEASE

Mathematics

1 answer:

Verdich [7]3 years ago

7 0

Answer:

A = 81.681409 (81.64 for 3.14 as pi) B = 4.65222141 (4.65458109 as 3.14 for pi) rotations

Step-by-step explanation:

To figure out how far one full rotation is (which is the circumference) you do the circumference formula: C = 2 pi r

C = 2 pi 13

C = 26pi

C = 81.681409

To figure out how many rotations C can fit into 380, divide 380 by C

380 / 81.681409 = 4.65222141

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Artist 52 [7]

The third answer is correct.

5 0

4 years ago

Suppose you want to place a shelf that is 30 1/3 inches long in the center of a wall that is 45 3/4 inches wide. About how fare

mrs_skeptik [129]

Answer:

7.71 inches far from each edge of the wall you should place the shelf.

Step-by-step explanation:

Given:

$\textrm{size of a shelf}=30\frac{1}{3} =\frac{91}{3}=30.33\ inches\\\textrm{size of a wall}=45\frac{3}{4} =\frac{183}{4}=45.75\ inches\\$

Let,

AB = distance between the edges or distance of wall.

ED = size of the shelf.

C is the centre of the wall.

To Find:

Distance from the edge of the wall to the shelf, when the shell is placed at the center of the wall.

AE = DB = ?

Solution:

As we need to place the shelf exactly in the center.

First we will calculate the distance from the center of the wall to the edge.

So the distance from the centre of the wall to the edge will be exactly half of the size of the wall.

$CB = \frac{1}{2}\times AB\\ =\frac{1}{2}\times 45.75\\\therefore CB=22.875\ inches$

now the distance from the centre to the end of the shelf will be exactly half of the size of the shelf.

$CE = \frac{1}{2}\times DE\\ =\frac{1}{2}\times 30.33\\\therefore CB=15.165\ inches$

Now we want to calculate the distance from the edge of the wall to the shelf,that is the distance from the end of the shelf to the edge of the wall.

$AE=BD= BC-CD\\=22.875-15.165\\=7.71\ inches\\\therefore AE = BD = 7.71\ inches$

Therefore, 7.71 inches far from each edge of the wall you should place the shelf.

5 0

3 years ago

Complete the given table for the equation 2x+y = 8

solmaris [256]

Answer:

Answer below. Hope this helped, Have a Great Day!!

Step-by-step explanation:

flip the 2x to the other side of the ( = )

y=8-2x

Divide by Y

y=-2x+8

slope: -2x

y-intercept: 8

6 0

3 years ago

The perimeter of a triangle garden is 54 feet. Find the length of the three sides if the middle length side is 4 feet greater th

jeka94

9514 1404 393

Answer:

9 ft, 22 ft, 23 ft

Step-by-step explanation:

Let s represent the length of the shortest side. Then the middle length side is (2s+4) and the longest side is (3s-4). The perimeter is the sum of the side lengths:

54 = s +(2s +4) +(3s -4)

54 = 6s . . . . . . . . . . . . . . collect terms

9 = s . . . . . . . . . . divide by 6

2s+4 = 2·9 +4 = 22

3s -4 = 3·9 -4 = 23

The lengths of the three sides are 9 feet, 22 feet, and 23 feet.

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3 years ago

Solve each system by substitution.<br>6) y = 2x - 3<br>y=-8x + 17

satela [25.4K]

Answer:

x=2

Step-by-step explanation:

Since they are both equal to y set them equal to each other: 2x-3=-8x+17

Subtract 17 from both sides: 2x-20=-8x

Subtract 2x from both sides: -20=-10x

Divide both sides by -10: 2=x

4 0

4 years ago

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