What is the scale factor of the dilation? Help please

Answers

Answer 1

Answer: Imagine A'V' is part of the dilated figure, and AV is part of the original figure.

A'V' = 3.2

AV = 3.2 + 4.8 = 8

A'V'/AV = 3.2/8 = 2/5

Answer: First choice, 2/5.

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Which of the following would be an acceptable first step in simplifying the expression (sinx)/(1 + sinx) ?A. 1/(cscx + sinx)
B. sinx + 1
C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answers

C. (sinx(1 - sinx))/((1 + sinx)(1 - sinx))

Answer:

multiply the denominator by its conjugate (1-sinx)/(1-sinx)

Step-by-step explanation:

[sinx (1-sinx)] / [(1+sinx)(1-sinx)]

Find the area of a 45°-45°-90° triangle with a hypotenuse of 24. a. 144 square units c. 99 square units b. 125 square units d. 100 square units

Answers

area=1/2 times base times height

remember that 45-45-90 triangle has sides of x,x and x√2
(legs are measure x and hypotonuse=x√2)

the legs are equal and are also the base and height
find the legs (x=leg)

hypotonuse=24
24=x√2
divide both sides by √2
24/(√2)=leg=base=height

volume=1/2 times base times heigth
V=1/2 times (24/√2) times (24/√2)
V=1/2 times (576/2)
V=576/4
V=144 units^2

answer is A

How many feet is 96 inches

Answers

1 foot = 12 inches

96 inches divided by 12 inches equals 8 feet

96 inches = 8 feet

first you divide 96 by 12 and then that should be your answer or use a calculator

Write a rule for a geometric sequence that has -6 as its first term and a common ratio of 2. What is the tenth term of this sequence?A) A(n) = 2 * -6^10-1; -20,155,392
B) A(n) = -6 * 2^n; -6144
C) A(n) = -6 * 2^n-1; -3072
I need this Answered ASAP, Thank you

Answers

The general form of the geometric sequence is $a_(n) = a_(1) (r) ^(n-1)$ , where a sub n is the number term you're looking for (we're looking for the tenth term). a sub 1 is the first term in the sequence (ours is -6), r is the common ratio, and n-1 is the numbered term you're looking for minus 1. Our formula then looks like this: $a_(10) =-6(2) ^(10-1)$ . Simplify it to $a_(10) =-6(2)^9$ . Take 2 to the 9th power then multiply it by -6 to get -3072. C is your answer.

Write the number 3 2/5 in a/b form

Answers

Answer:

Step-by-step explanation:

16/5

5*3=15+1=16

16/5

The game room of the youth center needs carpet. sweet t found that the room measures 12 inches by 8 inches on the blueprint. if the scale of the blueprint is 1 inch to 3 feet, what is the actual area of the game room.

Answers

the area of the game room is 864 square feet

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