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3 years ago

5

Find the distance between the points (3,‐4) and (3,‐2

1 answer:

balu736 [363]3 years ago

8 0

2 if we’re talking coordinates

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The volume of a cylinder is 252π cm3 and its height is 7 cm. What is the cylinder’s radius? A. 36 B. 80 C.16 D.6

REY [17]

Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 252π = π*r^2*7
.. (252π)/(7π) = r^2
.. 36 = r^2
.. 6 = r

The radius is 6 cm. Selection D is appropriate.

_____
We would prefer that the offered selections had the appropriate cm units attached.

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3 years ago

Consider the proof. Given: In △ABC, BD ⊥ AC Prove: the formula for the law of cosines, a2 = b2 + c2 – 2bccos(A) Statement Reason

loris [4]

Solution: The missing reason in Step 8 is substitution of $x=c\cos (A)$ .

Explanation:

The given steps are used to prove the formula for law of cosines.

From step 5 it is noticed that our equation is

$a^2=b^2-2bx+c^2$ ..... (1)

From step 7 it is noticed that the value of $x$ is $c\cos (A)$ .

So by substituting $c\cos (A)$ for $x$ in equation (1) we get the equation of step 8, i.e.,

$a^2=b^2-2bc\cos (A)+c^2$

Hence, the missing reason in Step 8 is substitution of $x=c\cos (A)$ .

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