Rectangle A′B′C′D′ is the image of rectangle ABCD after a dilation centered at point P.

Mathematics

1 answer:

liraira [26]2 years ago

4 0

Answer:

-5/6

Step-by-step explanation

Just took the test

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A population of 805 cheetahs decreases by 10% per year. How many cheetahs will there be in the population after 6 years?

Phantasy [73]

Answer:

Step-by-step explanation:

y = a(b)^x

a would represent the initial value.

b would represent the change

x represents the number of years

y = 805(0.9)^6

y = 805(0.531441)

y = 427.8

y = 427 cheetahs

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3 years ago

The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your

Inessa [10]

"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.

1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4

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4 years ago

one tank is filling at a rate of 3/4 per gallon per 2/3 minute .a second tank is at a 5/8 gallon per 1 half gallon per 1/2 minut

Bingel [31]

$recall\ that\implies \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus
\\ \quad \\

\cfrac{\frac{3g}{4}}{\frac{2m}{3}}\implies \cfrac{3g}{4}\cdot \cfrac{3}{2m}\implies \cfrac{\square ?}{\square ?}
\\-------------\\
\cfrac{\frac{5g}{8}}{\frac{1m}{2}}\implies \cfrac{5g}{8}\cdot \cfrac{2}{1m}\implies \cfrac{\square ?}{\square ?}$

so... you tells us, which filling rate is the bigger and thus faster one?

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3 years ago

What is X squared +3x-70

Aleksandr-060686 [28]

Answer:

x = 7, x = -10

Step-by-step explanation:

$x^2+3x-70 = 0$