Answer:
C
Step-by-step explanation:
If I had to make a choice it would be C. Its strange because all numbers can be divided by 4 so they all can make a square. But the closest was C.
Answer:
Step-by-step explanation:
(a - b)(a +b) = a² - b²
1 - Sin² A = Cos² A

2) Sec² A - Tan² A = 1

3) LHS = Cosec² A + Cot² A
= Cosec² A + Cosec² A - 1
= 2Cosec² A - 1 = RHS

(a) Length of the height is 2.732 m
(b) Length of the base is 5.466 m
<u>Explanation:</u>
An image is attached for reference.
(a)
In ΔAOB,

In ΔBGD,

According to the figure, BG = OE = 1.732 m
Height of the tent, AE = AO + OE
= 1 m + 1.732 m
= 2.732 m
(b)
DF = ?
In ΔAOB,

According to the figure, OB = GE = 1.733 m
In ΔBGD,

According to the figure, DE = DG + GE
DE = 1 m + 1.733 m
DE = 2.733 m
Length of the base, DF = 2 X DE
DF = 2 X 2.733 m
DF = 5.466 m
Let d = # of dimes
Let q = # of quarters
equation #1: number of coins
d + q = 1234
equation #2: value of coins
0.10d + 0.25q = 290.05
Solve #1 for d:
d=1234-q
Sub #1 into #2 and solve for q:
0.10d + 0.25q = 290.05
0.10(1234-q) + 0.25q = 290.05
123.4 - 0.10q + 0.25q = 290.05
0.15q = 166.65
q = 1111
Now go back to d=1234-q and sub in 1111 for q to find d:
d = 1234 - 1111
d = 123
1111 quarters and 123 dimes.