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Ilia_Sergeevich [38]
2 years ago
9

a sphere has a diameter of 7 centimeters what is the surface area is 3.14 to approximate Pi round to the nearest hundredth if ne

cessary
Mathematics
1 answer:
Over [174]2 years ago
8 0
Good idea to look up the formula for "surface area of a sphere" and to write it down for later reference.  It is A=4 pi r^2, where r is the radius of the sphere.
If the given sphere has a diameter of 7 cm, what is the radius of this sphere?

Write your answer inside the parentheses, below:

Sphere surface area = 4 pi (r)^2, or (in this case), A = 4(3.14)(        )^2
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The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50, 60,72,... Find the 8th term.
Vadim26 [7]

Answer:

179.159

Step-by-step explanation:

Given the sequence :

50, 60, 72,..

The sequence given is a geometric sequence :

For a geometric sequence ;

ar^(n - 1)

a = first term

r = a2 / a1 = 60 / 50 = 1.2

The 8th term ; n =8

a8 = ar^(n - 1)

a8 = 50*1.2^(8 - 1)

a8 = 50*1.2^7

a8 = 50*3.5831808

a8 = 179.15904

a8 = 179.159 (nearest thousandth )

8 0
2 years ago
Mr. Robredo is building a fence around a rectangular region with 36 feet of fencing. The area of the rectangular region is 65 sq
Rufina [12.5K]
P = 2(L + W)
P = 36
36 = 2(L + W)
36/2 = L + W
18 = L + W....L = 18 - W

A = L * W
A = 65
L = 18 - W

65 = W(18 - W)
65 = 18W - W^2
W^2 - 18W + 65 = 0
(W - 13)(W - 5) = 0

W - 13 = 0  .....L = 18 - 13
W = 13            L = 5
                        

W - 5 = 0         L = 18 - 5
W = 5              L = 13

Not exactly sure which (length or width)...but one is 13 ft and the other is 5 ft
8 0
3 years ago
Read 2 more answers
William scored 24.5 points out of 30 on his math assignment. His teacher subtracted 5 points for being late. How many points is
Svetradugi [14.3K]

Answer:

William was 0.5 points away from a perfect score.

Step-by-step explanation:

If the teacher didn't subtract 5 points, he would have 24.5 + 5 = 29.5 points.

30 - 29.5 = 0.5

William was 0.5 points away from a perfect score.

8 0
3 years ago
Find the missing values in the following figures​
jekas [21]

Answer:

15.

  x = 40/9 = 4 4/9

  z = 24/5 = 4 4/5

17.

  x = 50

  y ≈ 11.5

Step-by-step explanation:

15. Corresponding segments are proportional:

  top right side / whole right side = x / 8

  5/(5+4) = x/8

  x = 8(5/9) = 40/9

  x = 4 4/9

__

  right side bottom / right side top = z / 6

  z = 6(4/5) = 24/5

  z = 4 4/5

____

17. The acute angles are complementary:

  x = 90 -40 = 50

__

From the Pythagorean theorem:

  y = √(15² -9.6²) = √132.84

  y ≈ 11.5

4 0
3 years ago
Two pumps connected in parallel fail independently of one another on any given day. The probability that only the older pump wil
Bogdan [553]

Answer : Probability that the pumping system will fail on any given day = 0.005

Explanation:

Probability that only older pump fail = P(A) = 0.10

Probability that only newer pump fail = P(B) = 0.05

Since they are independent events ,

then the conditions will be

P(A∩B) = P(A). P(B)

             = 0.10 ×0.05

             =  0.005

Hence, the probability will fail on any given day = 0.005

8 0
2 years ago
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