Answer:It is given that Joe was being exposed to an electromagnet shrinking machine. Because of this his height started decreasing .
Given,
The decrease was at a constant rate per second.
In 1.5sec, the height is decreased by 120cm.
So,
Variation per second =
Change in each second would be with negative sign indicate's decrease .
Hence, Answer is “-80” .
Step-by-step explanation:
Answer:
D. m∠A=43, m∠B=55, a=20
Step-by-step explanation:
Given:
∆ABC,
m<C = 82°
AB = c = 29
AC = b = 24
Required:
m<A, m<C, and a (BC)
SOLUTION:
Find m<B using the law of sines:








m<B = 55°
Find m<A:
m<A = 180 - (82 + 55) => sum of angles in a triangle.
= 180 - 137
m<A = 43°
Find a using the law of sines:


Cross multiply


(approximated)
Answer:
C
Step-by-step explanation:

which means there is some integer

for which

.
Because

and

, there are integers

such that

and

, and

We have

, which means there are four possible choices of

:
1, 42
2, 21
3, 14
6, 7
which is to say there are also four corresponding choices for

:
9, 378
18, 189
27, 126
54, 63
whose sums are:
387
207
153
117
So the least possible value of

is 117.
The answer is 124 deg. because all the equation is 3x+40=7x-72 and when you solve for x, you get 28. Then all you have to do is plug 28 into the equation 3x+40 and you get 124..:)):