If a box of 100 pencils cost $4.75, what should you expect to pay for 225 pencils?
2 answers:
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Answer:
The side s has a length of 4 and side q has a length of 4 ⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = × 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4
Answer:
The T-shirt lands in the bleachers at a height of 14 feet.
Step-by-step explanation:
The point where they meet is the solution of the simultaneous system of equations:
...........................................(1)
..............................................(2)
From (2),
.................................................(3)
Substituting (3) in (1),
Multiply through by 24 (the LCM of 3 and 8, the denominators of the fractions)
OR
OR
The value of <em>y</em> represents the height.
Substituting for <em>x</em> in (3)
We discard the negative answer.
Hence, the T-shirt lands in the bleachers at a height of 14 feet.