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Grace [21]
3 years ago
15

Solve the given variable: -4/3h < -8/9

Mathematics
1 answer:
Aloiza [94]3 years ago
7 0
Answer: D. h > \frac{2}{3}

Solving Steps :

\frac{ - 4}{3} h < \frac{ - 8}{9}

Use the of Signs for Multiplication. Multiplying a negative and a positive equals a negative: (-) × (+) = (-)

= > - \frac{4}{3} h < \frac{ - 8}{9}
Multiply both sides of the inequality by 3/4

= > - h < - \frac{2}{3}
Change the signs on both sides of the inequality and flip the inequality sign.

= > h > \frac{2}{3}
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In myrtle beach, the maximum height off the water a parasailor can be is 500 feet. I the rope is 800 feet long, about how many f
Julli [10]

Answer:

624.5 feet

Step-by-step explanation:

Calculation to determine how many feet from the boat is the parasailor

Based on the information given we would make use of Pythagorean theorem to determine how many feet from the boat is the parasailor using this formula

a²+b²=c²

First step is to plug in the formula by substituting the given value

500²+b²=800²

Second step is to evaluate the exponent

250,000+b²=640,000

Third step is to substract 250,000 from both side and simplify

250,000+b²-250,000=640,000-250,000

b²=390,000

Now let determine how many feet from the boat is the parasailor

Parasailor feet=√b²

Parasailor feet=√390,000

Parasailor feet=b=624.49

Parasailor feet=b=624.5 feet (Approximately)

Therefore how many feet from the boat is the parasailor will be 624.5 feet

8 0
3 years ago
Out of 5/9 3/5 5/12 and 5/6 which one doesn't belong
Helen [10]
3/5 because the numerator is no the same as the others<span />
7 0
3 years ago
Read 2 more answers
The Poe family bought a house for $240,000. If the value of the house increases at a rate of 4% per year, about how much will th
Eddi Din [679]

Answer:

  about $525,900

Step-by-step explanation:

Each year, the value is multiplied by (1 +4%) = 1.04. After 20 years, it will have been multiplied by that value 20 times. That multiplier is 1.04^20 ≈ 2.19112314.

The value of the house in 20 years will be about ...

  $240,000×2.19112314 ≈ $525,900 . . . . . rounded to hundreds

3 0
3 years ago
Read 2 more answers
Compare the ratios in Table 1 and Table 2.
Grace [21]

Answer:

3:5 is less tan 7:10

The ratio 14:20 is greater than the ratio 9:15.

The ratios in Table 1 are less than the ratios in Table 2.

Step-by-step explanation:

3:5 as a fraction is 6/10

7:10 as a fraction is 7/10

3:5 is less

3 0
3 years ago
Read 2 more answers
A stainless steel patio heater is a square pyramid. The length of one side of the base is 19.8 The slant height of the pyramid i
Viefleur [7K]

the slant height would be the hypotenuse of a right triangle. 1/2 the length of the base would be one side of a right triangle. Use the Pythagorean theorem to find the height:


89.9^2 = 9.9^2 + x ^2

8082.01 = 98.01 + x^2

X^2 = 8082.01-98.01

X^2 = 7984

X = sqrt(7984)

X = 89.35

Round to 89.4

7 0
3 years ago
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