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2 years ago

If an integer m is divisible by both 10 and 12, then it must also be divisible by which of the following?

Mathematics

1 answer:

Murrr4er [49]2 years ago

3 0

Answer:

Step-by-step explanation:

an integer m is divisible by both 10 and 12

Lets write the prime factor for each number

the prime factor for 10 is 5,2

the prime factor for 12 is 3,2,2

Now take the product of the prime factors that are not in common and also in common $5 \cdot 3 \cdot 2 \fdot 2= 60$

60 is divisible by 20

so answer is 20

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Find the surface area of the attached figure and round your answer to the nearest tenth, if necessary.

mariarad [96]

Answer:

$S.A = 246.6 in^2$

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as: $B.A + \frac{1}{2}*P*L$

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface area

$S.A = 81 + \frac{1}{2}*36*9.2$

$= 81 + 18*9.2$

$= 81 + 165.6$

$S.A = 246.6 in^2$

8 0

2 years ago

Inigo is a part-time college student who lives at home. His monthly net income is $600. He developed a budget to help him manage

olasank [31]

I need more info to answer your question. Can please tell me the answer choices?

7 0

2 years ago

Read 2 more answers

1. If John ran a 5-kilometer marathon, how long was that in meters?

goblinko [34]

5 kilometers in meters are 5000, 1 kilometer is 100 meters

4 0

2 years ago

Read 2 more answers

You have two jobs. One job pays nine dollars per hour and the other job pays $7.50 per hour. You worked 18 hours last week and e

sveta [45]

Answer:

$Y =\frac{16.5}{1.5}= 11$

$X = 18-11=7$

And then we conclude that for the first job he works 7 hours and for the second job 11 hours

Step-by-step explanation:

We can define the following notation:

$X$ represent the number of hours worked for one job

$Y$ represent the number of hours worked for the other job

$p_x = 9$ represent the hourly payment for the first job

$p_y = 7.50$ represent the hourly payment for the other job

And we can define the following equations:

$X+ Y= 18$ (1) represent the toal number of hours worked

$9X +7.5 Y = 145.50$ (2) represent the total amount earned

From equation (1) if we solve for X we got:

$X = 18-Y$ (3)

Replacing equation (3) into equation (2) we got:

$9(18-Y) +7.5 Y =145.50$

And after solve the equation we can find the value of Y:

$162 -9Y +7.5 Y =145.50$

$16.5 = 1.5 Y$

$Y =\frac{16.5}{1.5}= 11$

And solving for X from equation (3) we got:

$X = 18-11=7$

And then we conclude that for the first job he works 7 hours and for the second job 11 hours

3 0

2 years ago

A 23ft ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 16ft from

Andru [333]

The orientation of the ladder with the wall forms a right triangle. The ladder length is the hypotenuse of the triangle, the distance between the ladder at ground level and the base of the wall is the horizontal leg of the triangle, the height of the ladder is the vertical leg of the triangle.

Since we have a right triangle, we can use the Pythagorean theorem.

Let x = the height of the ladder

Write the equation for the Pythagorean theorem using the information.

x2 + 162 = 232

Solving for x, we have

x2 = 232 - 162

x = √(232 - 162)

x = √(529 - 256)

x = √(273)

x = 16.52

The ladder reaches 16.52 feet high.

8 0

2 years ago