Answer:
1:6
Step-by-step explanation:
Answer:
21x - 15
Step-by-step explanation:
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Answer:
32.78
Step-by-step explanation:
Assuming that we have two right triangles joined together, with one having adjacent side a, with a side of 12 ft opposite reference angle 30°, and the other one having adjacent side b, with a side of 12 ft opposite reference angle 45°. Thus, a + b = length of AC.
Let's find a and b.
Finding a:
Reference angle = 30°
Opp = 12 ft
Adj = a
Using trigonometric ratio formula, we have:
tan(30) = 12/a
Multiply both sides by a
a*tan(30) = 12
Divide both sides by tan(30)
a = 12/tan(30)
a = 20.78 (nearest hundredth)
Finding b:
Reference angle = 45°
Opp = 12 ft
Adj = b
Using trigonometric ratio formula, we have:
tan(45) = 12/b
Multiply both sides by a
b*tan(45) = 12
Divide both sides by tan(45)
b = 12/tan(45)
a = 12
Length of AC = 20.78 + 12 = 32.78
Answer:
Number of dimes = 28
Step-by-step explanation:
Given that:
Worth of coins = $6.30 = 6.30 * 100 = 630 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement;
x = 2y Eqn 1
10x+25y = 630 Eqn 2
Putting x = 2y in Eqn 2
10(2y) + 25y = 630
20y + 25y = 630
45y = 630
Dividing both sides by 45
Putting y=14 in Eqn 1
x = 2(14)
x = 28
Hence,
Number of dimes = 28
If th<span>e equation y=1/3x is the boundary line for the inequality y>1/3 x, then the solution set is illustrated by shading the area ABOVE the line y=(1/3)x.</span>
