A circle in the xy-plane has its center at (-2/3,-3/4)

Mathematics

1 answer:

Cloud [144]3 years ago

8 0

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

Step-by-step explanation:

Start with the general equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

Substitute -2/3 for h and -3/4 for k, and also 5 for r:

(x - [-2/3])^2 + (y - [-3/4])^2 = 5^2, or

(x + 2/3)^2 + (y + 3/4)^2 = 5^2 (or 25).

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damaskus [11]

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HOW MANY BASEBALLS CAN FIT INTO THE TRACTOR TRAILER. THE TRAILER DIMENSIONS ARE 301.5"L X 96.99"W X 105.04"H AND CIRCUMFERENCE R

Shkiper50 [21]

Volume of tractor = length x width x height = 301.5 x 96.99 x 105.04 = 3,071,630.624

For baseballs of 9 inches:
$9=2\pi r \\ \\ r= \frac{9}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9}{2\pi} \right)^3=12.31$

Number of 9 inches baseballs = $\frac{3,071,630.624}{12.31} = 249,513$

For baseballs of 9.25 inches:
$9.25=2\pi r \\ \\ r= \frac{9.25}{2\pi}$

Volume = $\frac{4}{3} \pi r^3= \frac{4}{3} \pi \left( \frac{9.25}{2\pi} \right)^3=13.37$

Number of 9.25 inches baseballs = $\frac{3,071,630.624}{13.36} = 229,824$

Therefore, the tractor can contain between 229,824 and 249,513 baseballs.

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3 years ago

Please solve card 6!

olasank [31]

Answer:

×=30⁰ :)

Step-by-step explanation:

x⁰+(x+30⁰)= 90⁰

x⁰+x⁰= 90⁰-30⁰=60⁰

2x⁰=60⁰

60⁰÷2=30⁰ => x⁰=30⁰

verification: