If George is 33 1/3% richer than Pete, than Pete is what percent poorer than George?
1 answer:
Answer:
25%
Step-by-step explanation:
George has a wealth that is 33% (
%) greater than Pete's. Let’s assume Pete's wealth percentage is 100%.
Thus, George's wealth percentage = 100% + %
= %
= 133%
To find out how much poorer Pete is compared to George, we can calculate;
= ÷
× 100
= ×
× 100
= 0.25 × 100
= 25%
Pete is 25% less wealthy than George.
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Answer:
The ratio corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
- sin Ф =
- cos Ф =
- tan Ф =
For triangle HIJ
∵ m∠J = 90°
- The hypotenuse is the side opposite the right angle.
So, HI is the hypotenuse.
∵ HJ = 3 units
∵ IH = 5 units
- We’ll apply the Pythagorean Theorem to solve for HJ.
∵ (HJ)² + (IJ)² = (IH)²
∴ 3² + (IJ)² = 5²
∴ 9 + (IJ)² = 25
- Subtract 9 from both sides.
∴ (IJ)² = 16
- Taking the square root on both sides gives:
∴ IJ = 4 units
To determine the tangent of ∠I, identify the sides that are opposite and adjacent to it.
∵ HJ is opposite to ∠I
∵ IJ is adjacent to ∠I
- Utilizing the rule of tan above:
∴ tan(∠I) =
∴ tan(∠I) =
The ratio indicates the tangent of ∠I.