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Novay_Z [31]
3 years ago
11

A small town's phone numbers either begin 373 or 377. How many phone numbers are available?

Mathematics
1 answer:
ser-zykov [4K]3 years ago
6 0

Answer:

  • <u><em>There are 20,000 number available.</em></u>

Explanation:

To determine <em>how many phone numbers are available </em>you need to know how many digits the number contains.

I will assume the same number of digits for other similar questions, i.e. 7.

With 7 digits, the numbers that begin with 373 or 377 can be of the form 373XXXX or 377XXXX.

Where each X can be any digit 0 - 9. Then, there are 10 different options for each X.

Thus, there are 10×10×10×10 = 10,000 different numbers starting with 373 and other 10,000 different numbers starting with 377.

In total, there are 20,000 numbers available.

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Tenzin wants to know how much money he can make by mowing lawns. Which of the following is a statistical question?
AnnZ [28]

Answer:

How many people on this block pay someone to mow their lawn.

Step-by-step explanation:

8 0
3 years ago
Please help I need it
ivolga24 [154]

Answer:

<h2>Yes. It's a right triangle.</h2>

Step-by-step explanation:

If a ≤ b < c are the length of the sides of a right triangle, then

a² + b² = c².

We have:

a =30 ft, b = 40 ft and c = 50 ft.

Check the equality:

L = 30² + 40² = 900 + 1600 = 2500

R = 50² = 2500

L = R

5 0
3 years ago
Find the area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet
Finger [1]

Answer:

The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².

Step-by-step explanation:

An octagon is a polygon with eight sides. An octagon is regular (also called a regular octagon) is a polygon with all eight sides equal.

The apothem of a regular octagon is the shortest distance between the center and any of its sides, in other words, it is the distance that separates the center of the polygon from the central point of each side of the octagon.

The area is calculated using the following formula:

Area=\frac{n*L*Ap}{2}

Where:

  • n is the number of sides.
  • L is the length of one of the sides.
  • Ap is the value of the apothem.

Being n = 8 being an octagon and the perimeter P the sum of the sides of the octagon (P = 8 * L), the area of ​​the regular octagon can be calculated by:

Area=\frac{P*Ap}{2}

In this case:

  • P=80 ft
  • Ap=12.07 ft

Replacing:

Area=\frac{80ft*12.07ft}{2}

Solving:

Area=482.8 ft²

<u><em>The area of a regular octagon with a perimeter of 80 ft and an apothem of 12.07 feet is 482.8 ft².</em></u>

3 0
4 years ago
A building is 964 feet tall. Two people are standing on the ground directly west of the building. The
Lina20 [59]

Answer:

The distance from both of them = 1463.925  ft

Step-by-step explanation:

The building is 964 ft tall . 2 people are standing on the ground directly west of the building. The first person looks up at an angle of 62° to the top of the building while the second person did same at an angle of 26°. The distance between them can be computed below.

The illustration forms a right angle triangle . Using the SOHCAHTOA principle let us find the distance of the second person from the building

tan 26° = opposite/adjacent

tan 26° = 964/adjacent

adjacent tan 26° = 964

adjacent = 964/tan 26°

adjacent = 964/0.48773258856

adjacent = 1976.49290328 ft

The distance from the second person to the building = 1976.493 ft

Distance of the first person to the building

tan 62° = opposite/adjacent

tan 62° = 964/adjacent

adjacent tan 62° = 964

adjacent = 964/tan 62°

adjacent = 964/1.88072646535

adjacent = 512.567892122

distance from the first person to the building = 512.568 ft

The distance from both of them =  1976.493 ft - 512.568 ft = 1463.925  ft

5 0
3 years ago
Is the square root of any positive number irrational
ser-zykov [4K]
No because if it is the square root of 100, then it is rational, hope this helps
5 0
3 years ago
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