Answer:
Step-by-step explanation:
x = 8
y = 40
Answer:
70. 0
71. -54
72. 12
73. 86
74. 59
Step-by-step explanation:
To evaluate an expression, substitute specific values for the variables and simplify using Order of Operations.
70. c-3d becomes
![(1)-3(\frac{1}{3}) = 1-(\frac{3}{3}) = 1-1 = 0](https://tex.z-dn.net/?f=%281%29-3%28%5Cfrac%7B1%7D%7B3%7D%29%20%3D%201-%28%5Cfrac%7B3%7D%7B3%7D%29%20%3D%201-1%20%3D%200)
71.
becomes
![2+2^3-4(2)^4 = 2+8-4(16) = 2+8-64=10-64=-54](https://tex.z-dn.net/?f=2%2B2%5E3-4%282%29%5E4%20%3D%202%2B8-4%2816%29%20%3D%202%2B8-64%3D10-64%3D-54)
72.
becomes
![5(-3)+3(-3)^2 = -15 +3(9) = -15 + 27 = 12](https://tex.z-dn.net/?f=5%28-3%29%2B3%28-3%29%5E2%20%3D%20-15%20%2B3%289%29%20%3D%20-15%20%2B%2027%20%3D%2012)
73.
becomes
![F=\frac{9}{5}(30)+32=\frac{270}{5}+32 = 54+32 = 86](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%7D%7B5%7D%2830%29%2B32%3D%5Cfrac%7B270%7D%7B5%7D%2B32%20%3D%2054%2B32%20%3D%2086)
74.
becomes
![F=\frac{9}{5}(15)+32=\frac{135}{5}+32 = 27+32 = 59](https://tex.z-dn.net/?f=F%3D%5Cfrac%7B9%7D%7B5%7D%2815%29%2B32%3D%5Cfrac%7B135%7D%7B5%7D%2B32%20%3D%2027%2B32%20%3D%2059)
3 x 25 = 75
4 x 12 = 48
75 - 10 = 65
65 + 48 = 113
Answer: 113 markers and crayons or 65 crayons and 48 markers
Answer:
a) See figure attached
b) ![x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bsin%28124%29%7D%7Bsin%2834%29%7D%2080.086%20%3D%20118.732%20ft)
c) ![h = 35 sin (59) = 30.0 ft](https://tex.z-dn.net/?f=%20h%20%3D%2035%20sin%20%2859%29%20%3D%2030.0%20ft)
So then the heigth for the building is approximately 30 ft
Step-by-step explanation:
Part a
We can see the figure attached is a illustration for the problem on this case.
Part b
For this case we can use the sin law to find the value of r first like this:
![\frac{sin(22)}{35 ft} =\frac{sin(59)}{r}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%2822%29%7D%7B35%20ft%7D%20%3D%5Cfrac%7Bsin%2859%29%7D%7Br%7D)
![r= \frac{sin(59)}{sin(22)} 35 ft = 80.086ft](https://tex.z-dn.net/?f=%20r%3D%20%5Cfrac%7Bsin%2859%29%7D%7Bsin%2822%29%7D%2035%20ft%20%3D%2080.086ft)
Then we can use the same law in order to find the valueof x liek this:
![\frac{sin(124)}{x ft} =\frac{sin(34)}{80.086}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bsin%28124%29%7D%7Bx%20ft%7D%20%3D%5Cfrac%7Bsin%2834%29%7D%7B80.086%7D)
![x = \frac{sin(124)}{sin(34)} 80.086 = 118.732 ft](https://tex.z-dn.net/?f=%20x%20%3D%20%5Cfrac%7Bsin%28124%29%7D%7Bsin%2834%29%7D%2080.086%20%3D%20118.732%20ft)
And that represent the distance between Sara and Paul.
Part c
For this cas we are interested on the height h on the figure attached. We can use the sine indentity in order to find it.
![sin (59) = \frac{h}{35}](https://tex.z-dn.net/?f=%20sin%20%2859%29%20%3D%20%5Cfrac%7Bh%7D%7B35%7D)
And if we solve for h we got:
![h = 35 sin (59) = 30.0 ft](https://tex.z-dn.net/?f=%20h%20%3D%2035%20sin%20%2859%29%20%3D%2030.0%20ft)
So then the heigth for the building is approximately 30 ft