The area of square TUVW is calculated as 3 times 3, giving 9 square units.
In terms of head lettuces, since 1 square unit accommodates 4 lettuces, 9 square units can house 9 times 4, totaling 36 lettuces.
For plot QRST, the area is determined by multiplying its length by its width: 12 times 6 equals 72 square units.
With 36 vegetables available for every 9 square units, we can partition 72 by 9 to yield 8 plots of 9 square units.
In total, this accounts for 8 times 36, resulting in 288 vegetables.
We can cultivate 8 types of vegetables, with each type yielding 36 vegetables.
Answer:
The distance he covered is 17.69.
Step-by-step explanation:
Simply multiply 12.2 by 1.45. This calculation yields a total distance of 17.69.
Each 16-ounce serving contains 330 mg of caffeine. For 8-ounce servings:
330 mg divided by 2 equals 165 mg.
The limit for caffeine intake is capped at 600 mg.
Calculating for three servings: 165 mg * 3 = 495 mg, which is under the limit.
Calculating for four servings: 165 mg * 4 = 660 mg, exceeding the maximum amount.
Thus, a person can consume 3 full 8-ounce servings daily while remaining within the safety limit.
Answer:
The ratio 
corresponds to the tangent of ∠I.
Step-by-step explanation:
Let’s revisit the trigonometric ratios:
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.
Answer:
$284.79
Step-by-step explanation:
Hope has a balance of $284.79 in her account. She receives a paycheck biweekly.
