Given:
In the given triangle the measure of two angles are 102 degree and 28 degrees and the sides of the triangle are a, 27 cm, c.
To find:
The value of a.
Solution:
Let the given triangle be ABC, such that,



Using angle sum property of triangles, we get




According to the Law of Sines:





Therefore, the value of a is about 44.06 cm.
Question: <span>2^x * 3^y = 72, what is x + y? Solution: x=3 and y=2/ 2^x * 3^y= 72 = 2^3 * 3^2= 72 So, if x=3 and y=2 then, 3+2 =5 The answer: x+y= 5</span>
Answer:
k = 2/3 x
y = 2/3.
Step-by-step explanation:
y = kx where k is a constant
y = 2 when x = 3 so:
2 =k*3
k = 2/3.
The equation is y = 2/3 x.
When x = 1
y = 2/3 * 1 = 2/3.
The slope of the line would be 0
Answer:
4 gallons
Step-by-step explanation:
Make a proportion
Every 10 servings needs 2 cups of water, and 320 servings needs x cups of water
10/2=320/x
Cross multiply
10*x=320*2
10x=640
Divide both sides by 10
10x/10=640/10
x=64
The recipe needs 64 cups, but we need to find gallons.
There are 16 cups in a gallon. Therefore, we can divide 64 cups by 16 to find out how many gallons it is.
64/16
4
4 gallons of water would be needed for 320 servings