Answer:
$6
Step-by-step explanation:
Set up a system of equations where b is the cost of a book and m is the cost of a movie:
9b + 5m = 124
4b + 21m = 318
Solve by elimination by multiplying the top equation by -21 and the bottom equation by 5:
-189b - 105m = -2604
20b + 105m = 1590
Add the equations together, then solve for b:
-169b = -1014
b = 6
So, the cost of a book is $6
Answer:
p = 1/2y - 3
Step-by-step explanation:
p=x/3 and x=1/2y [replace the "x" to solve]
p = (1/2y)/3
Answer:
A is correct (33/18 and 66/26)
Step-by-step explanation:
Both fractions equal 6/5 when fully simplified. All you have to do is divide 18 by 15 and divide 24 by 20. Both of them will equal 1.2.
Answer:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
Step-by-step explanation:
We notice the triangles have the same orientation, so no reflection or rotation is involved. The desired mapping can be accomplished by dilation and translation:
1. Dilate ΔABE by a factor of 2/5 to make ΔA'B'E'
2. Translate A' to Q
The result will be that ΔA"B"E" will lie on top of ΔQRT, as required.
Answer:
<h3>cosθ = c/√1+c²</h3>
Step-by-step explanation:
Given cot θ = c and 0 < θ < π/2
In trigonometry identity:
cotθ = 1/tanθ = c
1/tanθ = c
cross multiply
tanθ = 1/c
According to SOH, CAH, TOA:
Tanθ = opposite/adjacent = 1/c
cosθ = adjacent/hypotenuse
To get the hypotenuse, we will use the pythagoras theorem:
hyp² = opp²+adj²
hyp² = 1²+c²
hyp = √1+c²
Find cosθ in terms of c
cosθ = c/√1+c²
Hence the formula for cos θ in terms of c is cosθ = c/√1+c²
