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gulaghasi [49]
3 years ago
13

What is the value of m?

Mathematics
2 answers:
nordsb [41]3 years ago
6 0

Answer:

m=4

Step-by-step explanation:

3^3 * 3^5 = 3^m^2

We know that a^b*a^c = a^(b+c)

So combining terms on the left

3^(3+5) = 3^m^2

3^(8) = 3^m^2

We know that a^b^c = a^(b*c)

Combining terms on the left

3^(8) = 3^(m*2)

Since the bases are the same, the exponents are the same

8 = 2m

Divide each side by 2

8/2 = 2m/2

m=4

madreJ [45]3 years ago
5 0

Answer:

the value of (3m) is 4

Step-by-step explanation:

3m equals 4

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Answer:

AC

Step-by-step explanation:

It would be the longest straight line segment that passes through the center of the circle and have end points that lie on the circle.

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3 years ago
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A glass marble has a diameter of 18 millimeters. What is the approximate volume of the marble? Use 3.14 for .
maria [59]

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

<h3>What is the volume of sphere?</h3>

If the given sphere is of radius r units, then its volume is given as:

V=  \dfrac{4}{3} \pi r^3 \: \rm unit^3

A glass marble has a diameter of 18 millimeters.

The radius is 9

V=  \dfrac{4}{3} (3.14) (9)^3 \: \rm unit^3\\\\V = 3,052.08 cubic millimeters

The volume of the sphere is 3,052.08 cubic millimeters. The correct answer is A.

Learn more about the volume of a sphere here:

brainly.com/question/381274

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3 0
2 years ago
Suppose you have one pyramid with a base that is 10 meters long and 10 meters wide with a slant that is 15 meters. Now, if the l
marishachu [46]

Answer:

The difference between area of pyramids is 125 sq.m.

Step-by-step explanation:

Length of base = 10m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid = \frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of pyramid = 400 sq.m.

Now the length of base is increased to 15

Length of base = 15m

Breadth of base = 10 m

Slant height = 15 m

Area of pyramid = Area of 5 bases

Area of pyramid =\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 15 \times 15+\frac{1}{2} \times 10 \times 15+\frac{1}{2} \times 10 \times 15+10 \times 10

Area of new pyramid = 525 sq.m.

Difference between area of pyramids=525 sq.m. - 400 sq.,. = 125 sq.m.

Hence The difference between area of pyramids is 125 sq.m.

4 0
4 years ago
The mass of a basket containing 3 balls was 3.64 kilograms. The mass of the same basket and 5 balls is 5.26 kilograms. Find the
hram777 [196]

Answer:

1.21 kilograms

Step-by-step explanation:

Let y represent the mass of the empty basket, and x represent the mass of each ball

Create a system of equations:

3x + y = 3.64

5x + y = 5.26

Solve by elimination by multiplying the top equation by -1

-3x - y = -3.64

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Add them together, then solve for x:

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Plug this back into one of the equations and solve for y:

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y = 1.21

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Answer: No more than 8.8 pounds.

Step-by-step explanation: Let x be the weight that Lorrie can add to carry-on.

We are told that an airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality that will represent the the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit is:

Let us solve for x by subtracting 21.2 from both sides of our inequality.

We can see that the weight Lorrie can add to the carry-on should be less than or equal to 8.8 pounds without going over the 30 pound limit. Therefore, the weight that Lorrie can add to the carry-on should be no more than 8.8 pounds.

7 0
3 years ago
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