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2 years ago

After triangle ace is dilated by a factor of 5, it has an area of 100 square inches. What was its area before dilation?

Mathematics

1 answer:

NISA [10]2 years ago

5 0

Answer:

20in^2

Step-by-step explanation:

Since you multiply the original area of the triangle by the scale factor to get the new area, you can find the original area (before dilation) by dividing the dilated triangle's area by the scale factor. Since 100 is the area of the dilated triangle, and 5 is your scale factor, you do 100/5 to get the area of the triangle before it was dilated.

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The 11th grade class at Red Hook high school was surveyed about the types of music they liked. Of those surveyed, 64% said they

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22% liked neither.

Step-by-step explanation:

Given,

64% liked pop music.

52% liked rap music.

38% liked both type of music.

To find out the percentage of those liked neither.

Now,

Let, total number of student = 100

Number of students liked pop = 64

Number of students liked rap = 52

Number of students liked both = 38

So,

Number of students who liked only pop = 64-38 = 26

Number of students who liked only rap = 52-38 = 14

Hence,

Number of students who liked neither = 100 - (26+14+38) = 22

22% liked neither.

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2 years ago

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01:57:09 In a city, the distance between the library and the police station is 3 miles less than twice the distance between the

tester [92]

Answer:

Distance between the police station and the fire station be 4 miles

Step-by-step explanation:

Let distance between the police station and the fire station be x miles.

The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.

Distance between the library and the police station $=2x-3$

Also, distance between the library and the police station is 5 miles.

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denpristay [2]

Option B

Trevor isn't correct because -2i must also be a root

<em><u>Solution:</u></em>

For the polynomial with roots -7, 2i and 7 their roots can be,

1. ) Real roots

2.) Imaginary roots

The real roots are: -7 and +7

The imaginary root given is: 2i

The imaginary roots come from the square root. So they will be in form of $\pm 2i$

Therefore,

For f(x) with roots -7 and +7 and $\pm 2$ we have,

$f(x)=a(x+7)(x-7)(x-2i)(x+2i)$

Fundamental Theorem of Algebra states that a polynomial will have exactly as many roots as its degree (the degree is the highest exponent of the polynomial).

So for f(x) with 4 roots, degree of f(x) is 4

So option B is correct. Trevor is not correct because –2i must also be a root.

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