All categories

3 years ago

What’s the scale factor ?

Mathematics

1 answer:

11111nata11111 [884]3 years ago

5 0

<h3>Answer: Choice C) 2</h3>

=======================================================

Explanation:

The vertical side of the blue triangle is PR = 2

The corresponding vertical side of the green triangle is P'R' = 4

The scale factor is the ratio of those two corresponding sides. So we divide the two side lengths.

scale factor = (P'R')/(PR) = (4)/(2) = 2

---------------------

We could also say:

scale factor = (R'Q')/(RQ) = (6)/(3) = 2

Or you could find the lengths of PQ and P'Q' through the distance formula, or Pythagorean theorem, and apply the same idea as shown above.

You might be interested in

The formula for the volume of a cylinder is v= 3.14r^2h. A cylinder has a volume of 300x feet ^3 and a radius of 5 feet

Fudgin [204]

Answer:

Height = 3.82

Step-by-step explanation:

(3.14)(5)²

(3.14)(25)

= 78.5

300 = 78.5h

300/78.5 = 78.5h/78.5

h = 3.821656051 or approximately 3.82

7 0

3 years ago

Find the inverse Laplace transform f(t) of the function F(s). Write uc for the Heaviside function that turns on at c, not uc(t).

zzz [600]

Answer:

F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

Step-by-step explanation:

We have given $F(S)=\frac{7e^{-7s}}{s^2-49}$

Now $F(S)=e^{-7s}G(s)$

Here $G(S)=\frac{7}{S^2-49}$

Now first find the Laplace inverse of G(S)

Using partial fraction

$\frac{7}{(s+7)(s-7)}=\frac{A}{(S+7)}+\frac{B}{S-7}$

$7=A(S-7)+B(S+7)$

On comparing the coefficient

$A=\frac{1}{2}$ and $B=\frac{-1}{2}$

On putting the value of A and B

$G(S)=\frac{-1}{2(S+7)}+\frac{1}{2(S+7)}$

Taking inverse Laplace

$G(t)=\frac{-1}{2}e^{7t}+\frac{1}{2}e^{-7t}$

Now in G(s) there is onether term $e^{-7s}$

So F(t) $=\frac{-1}{2}e^{7(t-7)}+\frac{1}{2}e^{-7(t-7)}$

6 0

3 years ago

The question is in the picture

Fudgin [204]

Answer:

(x) = 1/2x-3/2

Step-by-step explanation:

The inverse is the opposite of the equation given in this case is 2x+3 and the inverse is when you switch the x and the y and you solve for y.

4 0

3 years ago

How many miles would Tegan bike 16 hours?

lions [1.4K]

252 is the answer hope it helps

3 0

3 years ago

Read 2 more answers

Last one plz help me!

Mashutka [201]

Answer:

a) no real solutions

Step-by-step explanation:

the discriminant (b² - 4ac) is negative which indicates no real solutions

3 0

3 years ago