To find the last angle, add the 90 degree angle and 65 degree angle.(155)
Since a triangle has a total of 180 degrees, subtract 155 from 180 to get the third angle.(25 degrees)
To find the last side, use the pythagorean theorem(a^2 + b^2 = c^2)
a^2 + 77^2 = 85^2
solve, and you'll get the last side
Step-by-step explanation:
ANSWER MY RECENT question
Answer:
200
Step-by-step explanation:
90-35=125
180-125=55
55x4=220
220= 200
Answer:
6 liters
Step-by-step explanation:
Given:
Renata's recipe for her famous Kale 'n' Clam Quencher calls for kale juice and clam juice in a 3:1 ratio.
If Renata pours 18 liters of fresh kale juice, how many liters of clam juice should she add to maintain this ratio?
Solution:
Ratio to be maintain by using kale juice and clam juice = 3 : 1 ( given)
Renata pours fresh kale juice = 18 liters
We have to calculate quantity of clam juice should be added to maintain this ratio:-
Let quantity of clam juice should be added = ![x](https://tex.z-dn.net/?f=x)
<u>Ratio to be maintain : : quantity of kale juice : quantity of clam juice</u>
![3 : 1=18:x\\ \\ \frac{3}{1} =\frac{18}{x} \\ \\](https://tex.z-dn.net/?f=3%20%3A%201%3D18%3Ax%5C%5C%20%5C%5C%20%5Cfrac%7B3%7D%7B1%7D%20%3D%5Cfrac%7B18%7D%7Bx%7D%20%5C%5C%20%5C%5C)
By cross multiplication:
![3x=18](https://tex.z-dn.net/?f=3x%3D18)
By dividing both sides by 3
![x=6\ liters](https://tex.z-dn.net/?f=x%3D6%5C%20liters)
Thus, 6 liters of clam juice should she add.
Answer:
Step-by-step explanation:
d1 = 2.20
p1 = 80
k - cost of capital, 15%
p0 = (p1+d1)/(1+k) = (2.20+80)/1.15 = 82.20/1.15 = $71.48
Capital gain = 80 - 71.48 = 8.52
Capital gain in percentage = (80-71.48)/71.48 = 11.92%