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3 years ago

The area of circle Z is 64πft². What is the value of r? r=__ ft

Mathematics

1 answer:

Masja [62]3 years ago

3 0

A=πr²
πr²= 64π
Subtract the from both sides
r²=64
Square root both sides
r=8

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A. > B. < C. = D. none of the above

earnstyle [38]

Answer:

$3.14 \times 10 ^{3} < 2.6 \times 10^{3}$

Step-by-step explanation:

$3.14 \times 10 ^{3}$

$3140$

$2.6 \times 10 ^{4}$

$26000$

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3 years ago

Who can help me with these quick problems?

olasank [31]

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3 years ago

The figure is made from squares of different sizes.Find the area of A if the side of each of the two indentical smallest square

Temka [501]

Answer:

The area of square A is 256 cm²

Step-by-step explanation:

The four sides of a square are equal in length
Area of a square = side × side

In the given figure

∵ The sides of the square E = 2 cm each

∵ The sides of the square F = 2 cm each

∵ The side of square D is the sum of the sides of squares E and F

∴ The sides of the square D = 2 + 2 = 4 cm each

∵ The side of square C is the sum of the sides of squares E and D

∴ The sides of square C = 2 + 4 = 6 cm each

∵ The side of square B is the sum of the sides of squares C, E, and F

∴ The sides of square B = 6 + 2 + 2= 10 cm each

∵ The side of square A is the sum of the sides of squares B, F, and D

∴ The sides of square A = 10 + 2 + 4= 16 cm each

∵ Area of square A = side × side

∴ Area of square A = 16 × 16

∴ Area of square A = 256 cm²

∴ The area of square A is 256 cm²

3 0

3 years ago

Use the formula for compound amount:$14,800 at 6% compounded semiannually for 4 years

GalinKa [24]

SOLUTION

Given the question in the question tab, the following are the solution steps to answer the question.

STEP 1: Write the formula for calculating compound amount

$A=P(1+\frac{r}{n})^{nt}$

where

A = final compounded amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

STEP 2: Write the given data

Semiannually means that n will be 2

$P=14,800,r=\frac{6}{100}=0.06,n=2,t=4$

STEP 3: Calculate the compound amount

$\begin{gathered} A=14800(1+\frac{0.06}{2})^{2\times4}\Rightarrow A=14800(1+0.03)^{2\times4} \\ A=14800(1.03)^8 \\ A=14800\times1.266770081 \\ A=\text{\$}18,748.1972 \end{gathered}$

Hence, the compounded amount after 4 years is $18,748.1972

6 0

1 year ago

The cat’s weight changed -8 oz. while she was sick. Which of the following shows a greater change in weight? A. Loss of 9 oz B.

HACTEHA [7]

Answer:

The correct answer option is A. Loss of 9 oz.

Step-by-step explanation:

We are given that a cat's weight change -8 oz. while she was sick. It means that the cat lost 8 ounces of weight.

We are to determine whether which of the given answer options show a greater change in weight.

The correct answer for this is: loss of 9 oz which is a greater loss than 8 oz.

4 0

3 years ago