Answer:
smaller number = 3 5/24
larger number = 6 13/24
Step-by-step explanation:
let the larger number = x
smaller number = y
x - y = 3 1/3 equation 1
2(x +y) = 191/2 equation 2
divide equation 2 through by 2
x + y = 9 3/4 equation 3
subtract equation 1 from 3
2y = 6 5/12
y = 77/12 x 1/2 = 3 5/24
substitute for y in equation 1
x - 3 5/24 = 31/3
x = 3 1/3 + 3 5/24
x = 6 13/24
Answer:
10
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>Given:</u>
<u>Length is:</u>
<u>Substitute values and solve for w:</u>
- 500 = 2*120 + 2w
- 2w = 500 - 240
- 2w = 260
- w = 260/2
- w = 130 m
Answer:
![Area = 400.4 m^2](https://tex.z-dn.net/?f=%20Area%20%3D%20400.4%20m%5E2%20)
Step-by-step Explanation:
Given:
∆UVW,
m < U = 33°
m < V = 113°
VW = u = 29 m
Required:
Area of ∆UVW
Solution:
Find side length UV using Law of Sines
![\frac{u}{sin(U)} = \frac{w}{sin(W)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bu%7D%7Bsin%28U%29%7D%20%3D%20%5Cfrac%7Bw%7D%7Bsin%28W%29%7D%20)
U = 33°
u = VW = 29 m
W = 180 - (33+113) = 34°
w = UV = ?
![\frac{29}{sin(33)} = \frac{w}{sin(34)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B29%7D%7Bsin%2833%29%7D%20%3D%20%5Cfrac%7Bw%7D%7Bsin%2834%29%7D%20)
Cross multiply
![29*sin(34) = w*sin(33)](https://tex.z-dn.net/?f=%2029%2Asin%2834%29%20%3D%20w%2Asin%2833%29%20)
Divide both sides by sin(33) to make w the subject of formula
![\frac{29*sin(34)}{sin(33)} = \frac{w*sin(33)}{sin(33)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B29%2Asin%2834%29%7D%7Bsin%2833%29%7D%20%3D%20%5Cfrac%7Bw%2Asin%2833%29%7D%7Bsin%2833%29%7D%20)
![\frac{29*sin(34)}{sin(33)} = w](https://tex.z-dn.net/?f=%20%5Cfrac%7B29%2Asin%2834%29%7D%7Bsin%2833%29%7D%20%3D%20w%20)
![29.77 = w](https://tex.z-dn.net/?f=%2029.77%20%3D%20w%20)
(rounded to nearest whole number)
Find the area of ∆UVW using the formula,
![area = \frac{1}{2}*u*w*sin(V)](https://tex.z-dn.net/?f=%20area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2Au%2Aw%2Asin%28V%29%20)
![= \frac{1}{2}*29*30*sin(113)](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A29%2A30%2Asin%28113%29%20)
![= \frac{29*30*sin(113)}{2}](https://tex.z-dn.net/?f=%20%3D%20%5Cfrac%7B29%2A30%2Asin%28113%29%7D%7B2%7D%20)
(to nearest tenth).
Answer is (-1.5,5)
Midpoint formula is M= ((X1+X2)/2), ((Y1+Y2)/2)
So it becomes ((-4+1)/2), ((9+1)/2)= (-1.5,5)