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What is the volume of a cylinder that has the same base and height dimensions as the cone shown below? Use 3.14 for pi the base

Zarrin [17]

Answer: I assume the radius is 1/2 the base of 6 in.

r = 3 ft
h = 10 ft
s = 10.4403 ft
V = 94.2478 ft³
L = 98.3976 ft²
B = 28.2743 ft²
A = 126.672 ft²

r = radius
h = height
s = slant height
V = volume
L = lateral surface area
B = base surface area 
A = total surface area
π = pi = 3.14159
√ = square root

8 0

3 years ago

What is the equation of the line that passes through the point (-2,7) and has a slope of zero

Lina20 [59]

Answer:

Equation of the line that passes through the point (-2,7) and has a slope of zero is given as

$y=7$

Step-by-step explanation:

Equation of line is given as

$y-y_1=m(x-x_1)$ -----------(1)

Here

$m=0 \ \ \ and \ \ \ (x_1, y_1) = (-2, 7)$

Substituting values in equation (1)

$y-7=0(x+2)\\y=7$

5 0

3 years ago

Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

To know more visit:

brainly.com/question/15846526

4 0

3 years ago

Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why

Sergeu [11.5K]

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

8 0

2 years ago

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Find the remainder

victus00 [196]

Answer:

88

Step-by-step explanation:

Given:

(h⁴ + h² – 2) ÷ (h + 3).

We could obtain the remainder using the remainder theorem :

That is the remainder obtained when (h⁴ + h² – 2) is divided by (h + 3).

Using the reminder theorem,

Equate h+3 to 0 and obtain the value of h at h+3 = 0

h + 3 = 0 ; h = - 3

Substituting h = - 3 into (h⁴ + h² – 2) to obtain the remainder

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2 = 81 + 9 - 2 = 88

Hence, remainder is 88

4 0

3 years ago