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andreyandreev [35.5K]
2 years ago
10

How many vertices does this figure have?

Mathematics
1 answer:
Valentin [98]2 years ago
6 0

8 verticles 4 at the bottom and 4 on the sides

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Consider a solid spherical ball made of wood. Suppose a hole is bored (drilled) vertically through the center of the ball and th
lbvjy [14]

Answer:

The volume of solid is 268.08 inches cube.

Step-by-step explanation:

The solid spherical ball has height 8 inches that means the diameter of the sphere is 8 inches. So, the radius will be the half of diameter. Thus, radius is 4 inches.

Now use below formula to find the volume of solid sphere.

Volume = \frac{4}{3}\pi r^{2} \\Volume = \frac{4}{3}\pi (4)^{2} \\Volume = 268.08 \ in^{3}

Therefore, the volume of solid is 268.08 inches cube.

5 0
3 years ago
What is 35+[16-7+(3+5)]
Nadya [2.5K]

Answer:

52

Step-by-step explanation:

1) Simplify the inner most parentheses:

35 + [16 - 7 + 8}

2) Perform the operations inside the brackets:

35 + [17]

3) Add

52

7 0
3 years ago
Read 2 more answers
At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount. E
spayn [35]

At the bank, Derek made 7 withdrawals, each in the same amount. His brother, John, made 5 withdrawls, each in the same amount.

Let x be  the amount of one of Derek's withdrawals

Each of John's withdrawals was $5 more than each withdrawal that Derek made.

x + 5 is t the amount of one of John's withdrawals

Derek made 7 withdrawals

So amount withdraw 7 times = 7x

John made 5 withdrawals

So amount withdraw 5 times = 5(x+5)

Both Derek and John withdrew the same amount of money in the end

(A) 7x = 5(x+5)

(B) Solve for x

7x = 5x + 25

Subtract 5x from both sides

2x = 25

Divide by 2

x = 12.5

(C) check your solution

we plug in 12.5 for x in 7x= 5x + 25

7(12.5) = 5(12.5) + 25

87.5 = 62.5+ 25

87.5 = 87.5

(D) Each brother withdrawal 87.5 dollars



6 0
2 years ago
Find the area of a circle with a diameter of 12 inches. Use 3.14 for pi.
denis-greek [22]
Aloha there! :) The answer to your question is 113.04 sq inches.


Hope I helped! =D
4 0
3 years ago
Read 2 more answers
Suppose that the cost of producing x tablets is defined by c(x)= 200 + 10x + 0.2x squared* where x represents the number if tabl
sammy [17]

we are given

C(x)=200+10x+0.2x^2

part-A:

Since, x is number of tablets

C(x) is cost of producing x tablets

so, vertical box is C(x)

so, we write in vertical box is "cost of producing x tablets"

Horizontal box is x

so, we write in horizontal box is "number of tablets"

part-B:

we have to find average on [a,b]

we can use formula

\frac{C(b)-C(a)}{b-a}

we are given point as

a: (15 , 395)

a=15 and C(15)=395

b: (20, 480)

b=20 , C(20)=480

now, we can plug values

=\frac{480-395}{20-15}

=17...........Answer

part-c:

we have to find average on [b,c]

we can use formula

\frac{C(c)-C(b)}{c-b}

we are given point as

b: (20, 480)

b=20 , C(20)=480

c:(25,575)

c=25 , C(c)=575

now, we can plug values

=\frac{575-480}{25-20}

=19..............Answer


5 0
3 years ago
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