You need to use this formula:
([a]/[sinA])=([c]/[sinC])-I am going to use 'a' for the x, and 'c' for 16(square root of 3)
Now its just getting 'a' by itself.
([c] times [sinA])/([sinC])=[a]
[c]=16 square root of 3
sinA=sin(60)=(square root of 3)/2
sinC=sin(90)=1
Plug it in to get 24 for a, or x. Do the same to figure out y with the new sides.
The final y is:
8 square root of 3
Final answer is C.
Answer:
Step-by-step explanation:
Sin 21 = 
Sin 21 = 
0.3583 = 
0.3583*15 = BC
BC = 5.3745 = 5.37 m
Tan ∅ = 
Tan ∅ = 
∅ = tan⁻¹ (0.7448) = 36.67 = 36.7
Answer:
Step-by-step explanation:
<h3>Given</h3>
<h3>Find</h3>
- Solve for x
- Find x when p = -5
<h3>Solution</h3>
- 4(px + 1) = 64
- 4(px + 1)/4 = 64/4
- px + 1 = 16
- px = 15
- x = 15/p
<u>When p = -5, substitute p:</u>
1) Line should be parallel to y = 3x+6, so slope of this line should be =3.
y=mx +b
y=3x +b
Now we have to find b (y-intercept), using the point (-10, 2.5).
2.5 = 3*(-10)+b
b=2.5+30=32.5
y=3x + 32.5
2) The line should be perpendicular to y = -4x -2, so its slope is going to be negative reciprocal m= 1/4.
Now we have to find b (y-intercept), using the point (-16, -11).
y=(1/4)x +b
-11=(1/4)*(-16) + b
-11 = -4 +b
b = -7
y=(1/4)x - 7
30 treadmills : 36 ellipticals
this could be written in a few ways, but i am going to write it as a fraction. since treadmills come first, you put 30/36.
now that you have your fraction you have to find the GCF (greatest common factor) of the two numbers. the GCF is 6, so you have to divide 30 treadmills by 6, and 36 ellipticals by 6.
30/6=5
36/6=6
5/6 or 5:6 is the simplified ratio of treadmills to ellipticals
comment for any questions!!