Hj and ik are opposite sides of the rectangle so they areequal in length.
19 + 2x = 3x + 22
19-22 = 3x-2x
x = -3
We can't find the length of the diagonals as we have no information about the width.
Answer:
1) The terminal side lies in quadrant 2
2) cosФ = -15/17
3) tanФ = -8/15
Step-by-step explanation:
1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1
2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17
3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15
Answer:
392
Step-by-step explanation:
7(8) + 3(8)(14)
56 + 336
=392
*Brackets mean to multiply.
Answer:
Step-by-step explanation:
Total cost for trip = 290 + 50 + 95*5 =290+50+ 475 = $ 815
Savings = $143
Money needed = 815 - 143 = $ 672
No. of driveways = 672/48 = 14
14 driveways must she shovel to have enough money to pay for the trip.
Answer:
x =2
SK = 21
KY = 13
SY = 34
Step-by-step explanation:
we can see from the picture the following:
SK + KY = SY equation 1
SK=13x-5 equation 2
KY = 2x+9 equation 3
SY = 36-x equation 4
using equation 2, equation 3 and equation 4 in equation 1 we have:
13x - 5 + 2x + 9 = 36-x
15x +4 = 36 - x
15x +x = 36-4
16x = 32
x = 32/16
x= 2
using x as 2 we evaluate it in equation 2, equation 3 and equation 4:
SK=13(2)-5 = 21
KY= 2(2) +9 = 13
SY = 36-2 = 34
