Answer:
6.13
Step-by-step explanation:
Using Sine Law we know that
![\dfrac{a}{SinA}=\dfrac{b}{SinB}=\dfrac{c}{SinC}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7BSinA%7D%3D%5Cdfrac%7Bb%7D%7BSinB%7D%3D%5Cdfrac%7Bc%7D%7BSinC%7D)
Using your figure let's assign sides and angles:
A=? B = 60° C = 70°
a = 5 b = ? c = x
If we put that into our formula:
![\dfrac{5}{Sin?}=\dfrac{?}{Sin60}=\dfrac{x}{Sin70}](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7BSin%3F%7D%3D%5Cdfrac%7B%3F%7D%7BSin60%7D%3D%5Cdfrac%7Bx%7D%7BSin70%7D)
Notice that we have too many unknowns. We need to complete at least one ratio to do this, so how do we do this?
Notice we have 2 angles given, so we solve for the third angle. The sum of all angles in any triangle is always 180°
∠A + ∠B + ∠C= 180°
∠A + 60° + 70° = 180°
∠A + 130° = 180°
∠A = 180° - 130°
∠A = 50°
Now we can use this to solve for x.
![\dfrac{5}{Sin50}=\dfrac{x}{Sin70}\\\\\dfrac{(5)(Sin70)}{Sin50} = x\\\\\dfrac{4.6985}{0.7660}=x\\\\6.1338 =x](https://tex.z-dn.net/?f=%5Cdfrac%7B5%7D%7BSin50%7D%3D%5Cdfrac%7Bx%7D%7BSin70%7D%5C%5C%5C%5C%5Cdfrac%7B%285%29%28Sin70%29%7D%7BSin50%7D%20%3D%20x%5C%5C%5C%5C%5Cdfrac%7B4.6985%7D%7B0.7660%7D%3Dx%5C%5C%5C%5C6.1338%20%3Dx)
So the closest answer would be 6.13
Answer:
P = 150 - 25w
Step-by-step explanation:
Amount borrowed = $150
Repayment amount = $25 each week
P = amount Nancy owes
w = number of weeks
Amount Nancy owes = amount borrowed - repayment plan per week
P = 150 - 25w
During the first week of repayment: when w = 1
P = 150 - 25w
P = 150 - 25(1)
= 150 - 25
= 125
P = $125
Answer:
1= 75 2= 60 3=180 4=45 5= vertical angles 6=45
Step-by-step explanation:
All we have to do is use supplimentary angles
For example angle 1
105+angle 1=180
angle one = 75 degrees
120+angle 2=180
angle two= 60 degrees
There 180 degreees in a triagle.
So angle 1 + angle 2+ angle 7= 180
75+60+angle 7=180
angle 7= 45 degrees
And since 6 and 7 are vertical angles, angle 6 is also 45 degrees.
I believe 3m 7cm 3cm= 13 meters :).
Answer:
C
Step-by-step explanation:
For the given intervals
( - ∞, - 5) ← use any value < - 5 but not - 5, the parenthesis ) indicates that x is less than - 5 but not equal to - 5
(- 5, - 1) ← - 4, - 3, - 2 can be used but not - 5 or - 1
(- 1, 4) ← 0, 1, 2, 3 can be used but not - 1 or 4
(4, ∞ ) ← use any value > 4 but not 4
Hence
3 can be used in (- 1, 4)
- 6 can be used in (- ∞, - 5)
zero can be used in (- 1, 4)
- 5 cannot be used in any of the given intervals