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2 years ago

1. A map has a scale 3 cm: 4 miles. What is the actual distance between two cities that are

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

6 0

The actual distance between the two cities are 30 miles.

<h3>What is a scale drawing?</h3>

A scale drawing is a smaller diagram of a larger image / building / object. The scale drawing is usually reduced at a constant dimension

<h3>What is the actual distance between the two cities?</h3>

The actual distance between the two cities = (22.5 X 4) / 3 = 30 miles

To learn more about scale drawings, please check: brainly.com/question/147532

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What is the approximate volume of the cone?

Mnenie [13.5K]

Answer:

A. 1206 cm³

Step-by-step explanation:

We have a cone and are asked to find the approximate volume of it.

Keep in mind we are using π for 3.14

The forumla of a cone is V = πr² $\frac{h}{3}$

We know the radius = 12

and the height = 8

Substitute :

V = π12² $\frac{8}{3}$

Since these are multiplied with each other, we can first start off with multiplying the fraction, including with factoring 12²:

V = $\frac{2^4*3^2*8\pi }{3}$

Cancel the common factor - 3 :

V = $2^4 * 8 * 3\pi$

Multiply 8 and 3π :

V = $2^4 * 24\pi$

Solve the exponent :

V = $16 * 24\pi$

Multiply :

V = $384\pi$

Multiply for the final answer :

1205.76 cm³

which can be rounded up to

A. 1206 cm³

3 0

3 years ago

9. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of

IceJOKER [234]

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. The account balance after a period of 5 years will be $1.63634×10²⁰.

<h3>What is compound interest?</h3>

Interest on interest, or compound interest, is the adding of interest to the principal sum of a loan or deposit. It's the outcome of reinvesting interest rather than paying it out so that interest is received on the principal plus previously collected interest in the next quarter.

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

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given the principal amount is $12,385, the rate of interest is 7.5%, and the time period is daily. Therefore, the amount can be written as,

$A = P(1 + \frac{r}{n})^{nt}\\\\A = \$12,385(1 + \frac{7.5}{365})^{(365 \times 5)}\\\\A = \$1.63634 \times 10^{20}$

Hence, the account balance after a period of 5 years will be $1.63634×10²⁰.

Learn more about Compound Interest:

brainly.com/question/25857212

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2 years ago

Which is bigger, one-fifth of 35 or two-sixths of 24?

GREYUIT [131]

Answer:

two-sixths of 24

Step-by-step explanation:

7<8

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3 years ago

The area of a carpet is 120 sq.meters . It's length is 2 meters more than it's width . What is the length of the rectangle ?

Anit [1.1K]

Answer:

10x12

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3 years ago

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At a car and truck dealership the probability that a vehicle is white is 0.25 the probability that it is a pickup truck is 0.15

Kisachek [45]

Step-by-step Answer:

Given:

W=vehicle is White

T=vehicle is a pick-up Truck

P(W and T)=0.06

P(W)=0.25

P(T)=0.15

We need the conditional probability that a vehicle is white, given that it is a pick-up truck:

P(W | T)

= P(W and T) / P(T)

= 0.06 / 0.15

=0.4

4 0

3 years ago

Read 2 more answers