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3 years ago

153 is 90% of what number

Mathematics

2 answers:

Inga [223]3 years ago

5 0

137.7
153x0.9=137.7
or
153x0.1=15.3
15.3x9=137.7

swat323 years ago

4 0

The answer should be 137.7

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Segment FG begins at point F(-2, 4) and ends at point G (-2, -3). Segment FG is translated by (x, y) → (x – 3, y + 2) and then r

Mariana [72]

Answer:

The length of the segment F'G' is 7.

Step-by-step explanation:

From Linear Algebra we define reflection across the y-axis as follows:

$(x',y')=(-x, y)$ , $\forall\, x, y\in \mathbb{R}$ (Eq. 1)

In addition, we get this translation formula from the statement of the problem:

$(x',y') =(x-3,y+2)$ , $\forall \,x,y\in \mathbb{R}$ (Eq. 2)

Where:

$(x, y)$ - Original point, dimensionless.

$(x', y')$ - Transformed point, dimensionless.

If we know that $F(x,y) = (-2, 4)$ and $G(x,y) = (-2,-3)$ , then we proceed to make all needed operations:

Translation

$F''(x,y) = (-2-3,4+2)$

$F''(x,y) = (-5,6)$

$G''(x,y) = (-2-3,-3+2)$

$G''(x,y) = (-5,-1)$

Reflection

$F'(x,y) = (5, 6)$

$G'(x,y) = (5,-1)$

Lastly, we calculate the length of the segment F'G' by Pythagorean Theorem:

$F'G' = \sqrt{(5-5)^{2}+[(-1)-6]^{2}}$

$F'G' = 7$

The length of the segment F'G' is 7.

8 0

3 years ago

What is the square root of 625

QveST [7]

$De finition:\\\sqrt{a}=b\ \iff b^2=a\\=====================\\\\$

$625|5\\125|5\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\625=5\times5\times5\times5=5^2\times5^2\\\\\sqrt{625}=\sqrt{5^2\times5^2}=(*)\\-------------------------------\\use:\ \sqrt{a\times b}=\sqrt{a}\times\sqrt{b}\ and\ \sqrt{a^2}=a\ for\ a\geq0\\-------------------------------\\(*)=\sqrt{5^2}\times\sqrt{5^2}=5\times5=\boxed{25}$

$Other\ solution:\\\\\sqrt{625}=25\ because\ 25^2=25\times25=625$

6 0

3 years ago

A video store charges

Juli2301 [7.4K]

Answer:

a. 10 + 2.50x

b. 60

c. 100

Step-by-step explanation:

a. 10 + 2.50x

b. 10 + 2.50(20)

= 10 + 50

= 60

c. 260 = 10 + 2.50x

250 = 2.50x

250/2.50 = x

x = 100

8 0

3 years ago

Chance knows the length of a football field (including end zones) is 120 yards. The width of the field is 53.33 yards. What is t

givi [52]

Answer = about 6,400 yards squared

Step-by-step explanation:

4 0

4 years ago

I’m really confused can somebody like explain the steps

klio [65]

Answer:

58 yards^2

Step-by-step explanation:

You want to break this irregular shape into simple shapes. You can make a rectangle with the sides of 4 and 6 yards, whose are is 24 yards^2.

Then you can do the rectangle on the opposite side, whose sides are 4 and 6 yards, whose are is 24 yards^2 again.

Then the final rectangle has the sides of 5 and 2 yards, whose area is 10 yards^2.

If you add it all up, you will get 58 yards^2.

4 0

3 years ago