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3 years ago

Figure B is a scale image of Figure A, as shown. What is the scale factor applied to

Mathematics

1 answer:

CaHeK987 [17]3 years ago

4 0

Figure B is 2.8 times larger than figure A. Figure A was multiplied by 2.8 to make figure B

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For what value of x is sq 896z^15/225z^6 = xz^4/15

Ratling [72]

Answer:

Value of x is, 8

Step-by-step explanation:

Given: $\sqrt{\frac{896z^{15}}{225z^6}} =\frac{xz^4}{15} \sqrt{14z}$ ,.....[1]

To find the value of x:

Using exponent rules:

$(a^n)^m = a^{nm}$

$a^n \cdot a^m = a^{n+m}$

Taking square both sides in [1] we have;

$\frac{896z^{15}}{225z^6} = (\frac{xz^4}{15})^2 \cdot (14z)$

Simplify:

$\frac{896z^{15}}{225z^6} =\frac{x^2z^8}{225} \cdot (14z)$

$\frac{896z^{15}}{225z^6} =\frac{14x^2z^9}{225}$

Multiply both sides by $\frac{225}{14z^9}$ we get;

$x^2 = \frac{896 z^{15}}{225z^6} \times \frac{225}{14 z^9} = \frac{896 z^{15}}{14 z^{9+6}}$

Simplify:

$x^2 = \frac{896 z^{15}}{14 z^{15}} = 64$

$x = \sqrt{64}$

Simplify:

x = 8

Therefore, the value of x is, 8

5 0

3 years ago

Translate this sentence into an equation. 53 is the sum of 10 and Malik's savings. Use the variable m to represent Malik's savin

Ronch [10]

Answer:

m+10=53

Step-by-step explanation:

maliks savings=43

4 0

3 years ago

Dan is a software salesman Y represent his total pay in dollars let X represent the number of copies English is fun he sells sup

notka56 [123]

Answer:

1. 80

2. 2400

Step-by-step explanation:

1. what is the change in Dan's total pay for each copy of math is fun he sells?

2. what is Dan's total pay if he doesn't sell any copies of math is fun?

Given

y=80x + 2400

When x=0

y=80(0)+2400

=0+2400

=2400

When x=1

y=80x + 2400

=80(1) + 2400

=80+2400

=2480

change in Dan's total pay for each copy of math is fun he sells is

= 2480 - 2400

=80

2. Dan's total pay if he doesn't sell any copies of math is fun?

y=80x+2400

When x=0

y=80(0)+2400

=0+2400

=2400

8 0

3 years ago

A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the fi

klemol [59]

For the answer to the question above, A person drives north 6 blocks, then drives west 6 blocks. the displacement is a straight line from the starting point to the finish in <span>8.49 blocks</span> in a Northwest <span>direction.
The Solution:
</span>A^2+B^2=C^2

6*6+6*6 = sqrt(72)

6 0

3 years ago

Read 2 more answers

Find f(12) = 3/4 x + 2

AlekseyPX

Answer:

f(12) = 11

Step-by-step explanation:

To solve this question: