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never [62]
3 years ago
12

This prism has a surface area of 172 cm². What would the surface of the prism be if each dimension was tripled? ( Scale factor i

s 3 )

Mathematics
1 answer:
Alex787 [66]3 years ago
7 0

Answer:

1356 cm²

Step-by-step explanation:

Each dimension gets multiplied by 2, so the new dimensions are

changed from 2x8x7 to 6x24x21

There are 6 faces to the prism,

The area of the front and back are 6x21 = 126.  There are 2 of them for a total area of 126x2 = 252 cm²

The are of the left and right sides are 24x21 = 504.  There are 2 of them for a total area of 504x2 = 1008 cm²

The area of the top and bottom are 6x24 = 144, there are 2 of them for a total area of 144x2 = 288 cm²

The total surface area is 252 + 1008 + 96 = 1356 cm²

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The answer is V=0.3157=0.32
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2 years ago
A coin is to be spun 25 times. Let x be the number of spins that result in heads (H). Consider the following rule for deciding w
larisa [96]

Answer:

0.0433

Step-by-step explanation:

Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.

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5 0
3 years ago
What function is vertically stretched by a factor of 3 and translated 4 units right from the parent function
Neporo4naja [7]
<span>The <u>correct answer</u> is:

B) 3log</span>₅<span>(x-4).

Explanation<span>:

To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.

To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.

In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
4 0
2 years ago
Read 2 more answers
Find the area of parallelogram ABCD given m A = 30 and the following measures.
Nuetrik [128]

Answer: SECOND OPTION

Step-by-step explanation:

The area of a parallelogram can be calculated with this formula:

A=bh

Where "b" is the of one base and "h" is the height.

You can observe in the figure that "b" and "h" are:

b=AB=4\sqrt{2}ft\\\\h=AX=3ft

Then, substituting these values into the formula, you get that the area of the given parallelogram is:

A=(4\sqrt{2}ft)(3ft)\\\\A=12\sqrt{2}ft^2

This matches with the second option.

4 0
2 years ago
Help me please!<br> If u get it right, I’ll brainliest u
Rudiy27
The correct one is C
5 0
2 years ago
Read 2 more answers
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