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2 years ago

Craig earns extra money as a lifeguard. He earns $36 for 4 hours and $63 for 7 hours. Determine the constant of proportionality.

Mathematics

1 answer:

Hitman42 [59]2 years ago

6 0

Answer:

9.25$

Step-by-step explanation:

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A group of 125 teenagers were asked which of the following activities they would most likely choose to spend their free time doi

erik [133]

If it was 25%, it would be a 90 degree angle. So we can calculate this using a proportion. 25/90 = 24/x. Cross multiply to get 25x = 2160. When you divide by 25 on both sides you get 86.4. So the angle should be 86 degrees. Hope this helps.

3 0

2 years ago

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At 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at

ioda

Answer:

203 feet.

Step-by-step explanation:

Please find the attachment.

Let h represent the height of the building.

We have been given that at 3:30 in the afternoon in mid-September the Kimball Tower casts a shadow about 290 feet long when the sun's rays come down at an angle about 35 degrees above the horizontal.

We know that tangent relates opposite side of a right triangle to its adjacent side.

$\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}$

Upon substituting our given values in above formula, we will get:

$\text{tan}(35^{\circ})=\frac{h}{290}$

$290*\text{tan}(35^{\circ})=\frac{h}{290}*290$

$290*0.70020753821=h$

$h=290*0.70020753821$

$h=203.0601860809$

$h\approx 203$

Therefore, the building is approximately 203 feet high.

3 0

3 years ago

Rex's puppy is 5 years younger than his other dog. If the other dog is x years old, what is an expression for the puppy's age?

HACTEHA [7]

The other dog's age is "x". Rex's puppy is 5 years less than "x". SO...
x-5.

Understand?

5 0

2 years ago

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What are the missing angle measures in triangle ABC?

Finger [1]

we know that

In the right triangle ABC

∠ $A+$ ∠ $B=90$ ------> by complementary angles

Step $1$

Find the measure of angle B

we know that

$tan\ B=\frac{opposite\ side\ angle\ B}{adjacent\ side\ angle\ B}$

in this problem

$opposite\ side\ angle\ B=7in\\ adjacent\ side\ angle\ B=5in$

$tan\ B=\frac{7}{5} \\ \\ B=arc\ tan\frac{7}{5} \\ \\ B=54.5\ degrees$

Step $2$

Find the measure of angle A

$A+B=90\\ A=90-B\\ A=90-54.5\\ A=35.5\ degrees$

therefore

the answer is the option

35.5° and 54.5°

5 0

2 years ago

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Solve this quadratic equation by completing the square. x2 + 10x = 26

Misha Larkins [42]

  x² + 10x = 26
  x² + 10x + 25 = 26 + 25
  x² + 5x + 5x + 25 = 51
x(x) + x(5) + 5(x) + 5(5) = 51
x(x + 5) + 5(x + 5) = 51
(x + 5)(x + 5) = 51
(x + 5)² = 51
x + 5 = ±√(51)
- 5 - 5
x = -5 ± √(51)
x = -5 + √(51) or x = -5 - √(51)

5 0

3 years ago

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