35 Percent of 70 is 24.5
We assume, that the number 70 is 100% - because it's the output value of the task. We assume, that x is the value we are looking for. If 70 is 100%, so we can write it down as 70=100%. We know, that x is 35% of the output value, so we can write it down as x=35%. <span>Now we have two simple equations: 1.)70=100% 2.)x=35%</span>where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that: 70/x=100%/35% Now we just have to solve the simple equation, and we will get the solution we are looking for.
Answer:$40,861
Step-by-step explanation:
40,000+800+61=$40861
So We Know That tan(x) Equals
![\tan(x) = \frac{ \sin(x) }{ \cos(x) }](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28x%29%20%7D%7B%20%5Ccos%28x%29%20%7D%20)
We Can Use Logic, We Know That Anything That Makes The Denominator 0, Will Not Work, So We Need To Know What Makes Sin(x) equal to 0 and Cos(x) equal to 1 or -1 BUT NOT 0
![\sin(0) = 0 \: \cos(0) = 1 \\ \sin(180) = 0 \: \cos(180) = - 1 \\ \sin(360) = 0 \: \cos(360) = 1 \\ \sin( - 180) = 0 \: \cos( - 180) = - 1 \\ \sin( - 360) = 0 \: \cos( - 360) = 1](https://tex.z-dn.net/?f=%20%5Csin%280%29%20%20%3D%200%20%5C%3A%20%20%5Ccos%280%29%20%20%3D%201%20%5C%5C%20%20%5Csin%28180%29%20%3D%200%20%20%5C%3A%20%20%5Ccos%28180%29%20%3D%20%20-%201%20%20%20%5C%5C%20%5Csin%28360%29%20%20%3D%200%20%5C%3A%20%20%5Ccos%28360%29%20%20%3D%201%20%5C%5C%20%20%5Csin%28%20-%20180%29%20%20%3D%200%20%5C%3A%20%20%5Ccos%28%20-%20180%29%20%20%20%3D%20%20-%201%20%5C%5C%20%5Csin%28%20-%20360%29%20%20%3D%200%20%5C%3A%20%20%20%5Ccos%28%20-%20360%29%20%20%3D%201)
![\cos(90) = 0 \\ \cos( - 90) = 0 \\ \cos(270) = 0 \\ \cos( - 270) = 0](https://tex.z-dn.net/?f=%20%5Ccos%2890%29%20%20%3D%200%20%5C%5C%20%20%5Ccos%28%20-%2090%29%20%20%3D%200%20%5C%5C%20%20%5Ccos%28270%29%20%20%3D%200%20%5C%5C%20%20%5Ccos%28%20-%20270%29%20%20%3D%200)
We Didn't Want Cosine To equal Zero Because Then We Get
![\tan(x) = \frac{ \sin(x) }{ \cos(x) } \\ \tan(x) = \frac{ \sin(90) }{ \cos(90) } \\ \tan(x) = \frac{1}{0} \\ \tan(x) = indeterminate](https://tex.z-dn.net/?f=%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20%5Csin%28x%29%20%7D%7B%20%5Ccos%28x%29%20%7D%20%20%5C%5C%20%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B%20%5Csin%2890%29%20%7D%7B%20%5Ccos%2890%29%20%7D%20%20%5C%5C%20%20%5Ctan%28x%29%20%20%3D%20%20%5Cfrac%7B1%7D%7B0%7D%20%20%5C%5C%20%20%5Ctan%28x%29%20%3D%20indeterminate)
THE ANSWER IS C : -360°,-180°,0°,180°,360°
Answer:
A.
Step-by-step explanation:
step 1: This is an inverse
step 2: the one over means - substraction
so the answer is A
Option B. 55° is the correct answer
Step-by-step explanation:
"The sum of interior angles of a triangle is always 180°"
Given
m∠A=(3x+1)°
m∠B=(2x-1)°
m∠C = 40°
We know that
m∠A+m∠B+m∠C=180°
Putting the values of angles
![(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\](https://tex.z-dn.net/?f=%283x%2B1%29%20%2B%282x-1%29%20%2B40%20%3D%20180%5C%5C3x%2B1%2B2x-1%2B40%20%3D%20180%5C%5C5x%2B40%3D180%5C%5C)
Subtracting 40 from both sides
![5x+40-40=180-40\\5x=140](https://tex.z-dn.net/?f=5x%2B40-40%3D180-40%5C%5C5x%3D140)
Dividing both sides by 5
![\frac{5x}{5} = \frac{140}{5}\\x=28](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B5%7D%20%3D%20%5Cfrac%7B140%7D%7B5%7D%5C%5Cx%3D28)
We have to find Angle B,
So
m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°
Hence,
m∠B=55°
Option B. 55° is the correct answer
Keywords: Triangle, Interior angles
Learn more about triangles at:
#learnwithBrainly