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ZanzabumX [31]
3 years ago
10

The volume of a triangular prism is 20 cubic mm. If the dimensions were doubled, what would the new

Mathematics
1 answer:
anygoal [31]3 years ago
7 0

Answer:

The new volume will be 160 mm^3

Step-by-step explanation:

The volume of a triangular prism can be calculated by multiplying the area of the triangular base by the height.

Let’s say we have the base with dimensions a and b, while the height can be h

The volume can be calculated as

V = 1/2 * a * b * h

Now , to answer this question, we shall be choosing arbitrary lengths for a, b and h. Whatever length we shall be choosing , we should make sure that they must be equal to 20 mm^3.

Let’s say we have a as 2mm , b as 4 mm and H as 5 mm

Plugging these into the equation, we surely have our volume as 20 mm^3

Now let’s double these dimensions. Our new dimensions become , 4mm by 8mm by 10mm

Plugging these new values into the equation, we have;

1/2 * 4 * 8 * 10 = 160 mm^3

Thus, our volume is expected to be increased by a factor of 8

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Answer: 375

Step-by-step explanation:

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3 years ago
100pts help with math study guide?
OleMash [197]
C=90°

Since the triangles are similar, the angles will be the same. A corresponds with D and equals 75° and B corresponds with E and equals 15°, so C and F must be 90°, since the angles in a triangle add up to 180°.

Hope this helps :)
7 0
3 years ago
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I will mark you brainliest!
s344n2d4d5 [400]

Answer:

Rate = 10%

Step-by-step explanation:

We are given with the following details.

Interest earned = $ 116.25

Principal = $ 1550

Interest Rate = r (say)

Time = 9 months

         = \frac{9}{12} years

We are asked to determine the rate of interest for which we can earn 116.25 interest. As we are not specifically given whether it is a compound or simple interest , we assume it to be simple interest and solve .

The formula for simple interest is given as

Interest = Principal \times Rate \times time

116.25=1550 \times r \times \frac{9}{12}

r= \frac{116.25 \times 12}{1550 \times 9}

r=0.1

Hence the r = 0.1

Hence the rate of interest is 10%

3 0
3 years ago
X=0.436 recurring Prove that x=24/55​
nlexa [21]

Answer:

i have no clue ..

Step-by-step explanation:

4 0
3 years ago
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Norman purchased $420 of stock in Carnival Cruise Lines last week. That stock is now worth $525. Use your knowledge of percent c
zysi [14]

Answer:

The stock Norman purchased increased in its value by 25%.

Step-by-step explanation:

Original Value of the stock = $ 420

New(Current) value of the stock = $ 525

We have to find the percentage change in the value of stock. The formula to calculate the percentage change is:

\text{Percentage Change}=\frac{\text{New Value - Original Value}}{\text{Original Value}} \times 100\%

Substituting the given values into this formula results in:

\text{Percentage Change}=\frac{525-420}{420} \times 100\% \\\\ \text{Percentage Change}=\frac{105}{420} \times 100\%\\\\ \text{Percentage Change}=0.25 \times 100\% \\\\ \text{Percentage Change}=25 \%

A positive value of Percentage Change indicates a growth. This means that the stock Norman purchased increased in its value by 25%.

7 0
3 years ago
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