MATHEMATICS HIGH SCHOOL

A circle has a circumference of 12.It has an arc length 11. What is the central angle of the arc,in degrees?

Answers

Answer 1

Answer:

Answer: $330^(\circ)$

Step-by-step explanation:

Given

Circumference of circle $C=12\ units$

Arc length $l=11\ units$

we know arc length is given by

$l=(\theta )/(360^(\circ))* 2\pi r$

substituting value we get

$11=(\theta )/(360)* 12$

$(11)/(12)=(\theta )/(360)$

$\therefore \ \theta =330^(\circ)$

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8 gallons equals how many pints?
a. 2 pt.
b. 128 pt.
c. 32 pt.
d. 64 pt.

Answers

64 pints is in 8 gallons

Using FOIL, solve (t + 2bs^2) (2t-3bs^2) please show all the steps.

Answers

foil
first
outer
inner
last
example if you had
(x+y)(z+t)
first x times z
outer x time t
inner y times z
last y times t

so

FOIL
(t+2bs^2)(2t-3bs^2)
FIRST (t times 2t=2t^2)
Outer (t times -3bs^2=-3tbs^2)
Inner (2bs^2 times 2t=4tbs^2)
Last (2bs^2 times -3bs^2=-6b^2s^4)

now add
2t^2-3tbs^2+4tbs^2-6b^2s^4
add like terms (-3tbs^2+4tbs^2=1tbs^2=tbs^2)
2t^2+tbs^2-6b^2s^4

2t^2+-6b^2s^4+4bs^2t-3bs^2t

so 2t^2-6b^2s^4+bs^2t is your answer

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