Option B: 4.0 cm is the value of w
Explanation:
It is given that
,
,
and ![UV=w](https://tex.z-dn.net/?f=UV%3Dw)
Using the law of sines, we have,
![\frac{sin U}{3.3} =\frac{sin W}{w}](https://tex.z-dn.net/?f=%5Cfrac%7Bsin%20U%7D%7B3.3%7D%20%3D%5Cfrac%7Bsin%20W%7D%7Bw%7D)
Substituting the values, we have,
![\frac{\sin 31}{3.3}=\frac{\sin 39}{w}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%2031%7D%7B3.3%7D%3D%5Cfrac%7B%5Csin%2039%7D%7Bw%7D)
Cross multiplying, we get,
![(sin31) w=3.3( \sin 39)](https://tex.z-dn.net/?f=%28sin31%29%20w%3D3.3%28%20%5Csin%2039%29)
Simplifying, we have,
![0.515w=2.077](https://tex.z-dn.net/?f=0.515w%3D2.077)
Dividing both sides by 0.515, we have,
![w=4.0](https://tex.z-dn.net/?f=w%3D4.0)
Thus, the value of w is 4.0 cm
Hence, Option B is the correct answer.
Answer:
MN = 160
Step-by-step explanation:
We know that arc MN = arc NO
17g - 10 = 14g+ 20
Subtract 14g from each side
3g -10 = 14g-14g+20
3g -10 =20
Add 10 to each side
3g = 20+10
3g = 30
Divide by 3
3g/3= 30/3
g= 10
We want the arc MN
17g - 10
17(10) - 10
170 -10
160
7 is 1/4 of 28, so 7 is 25% of 28.
The drop from 28 to 7 is a drop of 21.
21 is 3 times 7, so 21 is 3 times 25%.
Answer: It is a 75% decrease.
Answer:
$30444.41
Step-by-step explanation:
→ Work out compound interest
(100 + 6) ÷ 100 = 1.06
→ Multiply the amount by the money
17000 × 1.06
→ Find how many years it is for
17000 × 1.06¹⁰ = 30444.41
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
![m = \frac{y_2-y_1}{x_2-x_1}=\frac{2-6}{2-5}=\frac{-4}{-3}=\frac{4}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%3D%5Cfrac%7B2-6%7D%7B2-5%7D%3D%5Cfrac%7B-4%7D%7B-3%7D%3D%5Cfrac%7B4%7D%7B3%7D)
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
![m = \frac{y_2-y_1}{x_2-x_1}\\\\\frac{4}{3}=\frac{-2--4}{x-5}\\\\\frac{4}{3}=\frac{2}{x-5}\\\\\frac{4}{3} (x-5) = 2\\\\4x -20=6\\\\4x = 26\\\\x = 6\frac{1}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B-2--4%7D%7Bx-5%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B2%7D%7Bx-5%7D%5C%5C%5C%5C%5Cfrac%7B4%7D%7B3%7D%20%28x-5%29%20%3D%202%5C%5C%5C%5C4x%20-20%3D6%5C%5C%5C%5C4x%20%3D%2026%5C%5C%5C%5Cx%20%3D%206%5Cfrac%7B1%7D%7B2%7D)