Answer:
<em>a:b:c=8:12:15</em>
Step-by-step explanation:
<u>Combined Ratio</u>
We are given the ratios:
a:b=2:3
b:c=4:5
The combined ratio a:b:c will include all three variables in one single expression.
Before finding it, we must have a common number for the common variable (b). Since b is 3 in the first ratio and 4 in the second ratio, we must equate both by finding the LCM of 3 and 4=12, thus both ratios will be amplified as follows:
a:b=2:3=(2*4):(3*4)=8:12
b:c=4:5=(4*3):(5*3)=12:15
Now there is a common factor in both ratios, we can combine them removing the common factor:
a:b:c=8:12:15
You can use the sum and difference identities which for cosine is cos(a+b)= cosacosb-sinasinb
Answer:
This is the commutative property of multiplication.
Step-by-step explanation:
This property states that we can multiply numbers in any order and still get the same number. Each side is the same operation in a different order.
Answer:
5/6 cups of sugar
Step-by-step explanation:
45 divided by 18 = 2.5
1/3 x 2.5 = 0.83
0.83 = 5/6 cups
Answer:
x = 74 degrees
Step-by-step explanation:
If we assume that this triangle is isosceles, then the sum of the two angles at the bottom is (180 - 32) degrees, or 148 degrees. The angle x is half that, i. e., x = 74 degrees
