Answer:
27 sq. feet
Step-by-step explanation:
Their ratio is
6: 8 by length
by area it is
9: 16
so 9:16 = A: 48
A = 48* (9/16) = 3*9 = 27 sq. ft
Answer:
4
Step-by-step explanation:
Angle CAB is opposite to the side BC.
We are going to use law of cosines to see this up since we are either given a numerical value or an algebraic expression per each side, and that we are also given an angle measurement for one of the 3 angles of our triangle.
Simplify and use foil to multiply/expand :
Using and doing a little simplifying gives:
Since 2(1/2)=1 we have:
Distribute:
Subtract 28 on both sides and simplify:
Find two numbers that multiply to be -24 and add to be 2. Those numbers are 6 and -4 so the factored form of the right hand is given in the equation:
This implies x+6=0 or x-4=0.
Solving the first equation for x gives us x=-6 (subtracted 6 on both sides).
Solving the second equation for x gives us x=4 (added 4 on both sides).
4 is the only one that can be a solution since a side can't have a negative measurement.
The answer is x=4.
Answer:
-1/10
Step-by-step explanation:
Stating the eq =(-3/5 + 7/15) - (-5/6 + 4/5)
Apply BODMAS= -3/5 + 7/15 + 5/6 - 4/5
Common denominator= 30
= (- 18 + 14 + 25 - 24)/30
= - 3/30 = - 1/10
Answer:
<h2>22.5 feet</h2>
Step-by-step explanation:
The formula for circumference is 2(3.14)r
So, we divide 141.3 by 6.28 and get 22.5
The radius is 22.5 feet.