Kathleen must get 300 signatures to make sure she will have enough valid signatures for the crosswalk
<em><u>Solution:</u></em>
Given that Kathleen needs 240 valid signatures on a petition to get a crosswalk installed on her street
She knows that about 20% of the signatures will not be valid for a variety of reasons
Let "x" be the number of signatures
invalid signature = 20 % of x
valid signatures = 240
Then, according to question,
total number of signatures - invalid signatures = 240
x - 20 % of x = 240
Therefore, she must get 300 signatures so that she will have enough valid signatures for the crosswalk
Answer: 1232
Step-by-step explanation: ( 8x10 -3) x(2x10 -4)
( 8x10 -3) = 77
(2x10 -4) = 16
77 x 16 = 1232
Answer = 1232
I would use multiplication and addition.
3 x 64 = 192
3 x 48 = 144
192 + 144 = 336 total ounces of juice.
Answer:
cos(F) = 9/41
Step-by-step explanation:
The triangles are similar, so you know that ...
... cos(D) = cos(A) = 40/41.
From trig relations, you know ...
... cos(F) = sin(D)
and
... sin(D)² +cos(D)² = 1
So ...
... cos(F) = sin(D) = √(1 -cos(D)²) = √(1 -(40/41)²) = √(81/1681)
... cos(F) = 9/41
_____
The ratio for cos(A) tells you that you can consider AB=40, AC=41. Then, using the Pythagorean theorem, you can find BC = √(41² -40²) = √81 = 9.
From the definition of the cosine, you know cos(C) = BC/AC = 9/41. Because the triangles are similar, you know
... cos(F) = cos(C) = 9/41
