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maw [93]
2 years ago
15

abby has let out 42 meters of kite string when she observed that her kite is directly above christiana. if abby is 8.5 meters fr

om christina what is the angle of elevation of the kite
Mathematics
1 answer:
charle [14.2K]2 years ago
6 0

Answer:

78 degrees

Step-by-step explanation:

this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹

cos⁻¹(8.5/42) = 78.3 degrees

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At a car dealership yesterday, the ratio of trucks sold to cars sold was 5.6. If the dealership sold 30 cars, how many trucks we
aleksley [76]

Answer:

25

Step-by-step explanation:

ratio 5:6

\frac{5}{6} = \frac{x}{30}

6x = 5(30)

6x = 150

x = 25

3 0
3 years ago
The scale of a map is 1in.:75km. Determine the distance between two towns that are 5.6 in. apart on the map.
sergeinik [125]

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420

6 0
3 years ago
When a rectangular pyramid is cut at an angle the cross section is a triangle. True or false
Fittoniya [83]

Answer:

True

Step-by-step explanation:

Think about it. you are cutting a rectangle in half. and when you put it in dimensions its still the same thing!

8 0
3 years ago
A summer camp is organizing a hike and needs to buy granola bars for the campers. The granola bars come in small boxes and large
Irina18 [472]

Answer:

The Answer is: There are 8 small boxes and 9 large boxes. See explanation below for variables and variable definitions.

Step-by-step explanation:

Let s = small boxes. Let b = large boxes.

s + b = 17

You can solve for s:

s = 17 - b

You can solve for b:

b = 17 - s

10 times the number of small boxes plus 24 times the number of large boxes is equal to 296 granola bars.

10s + 24b = 296

Substitute:

10(17 - b) + 24b = 296

170 - 10b + 24b = 296

14b = 296 - 170

14b =  126

b = 126 / 14 = 9 large boxes

Find the number of small boxes, s:

s = 17 - b = 17 - 9 = 8 small boxes

There are 8 small boxes and 9 large boxes.

Proof:

10(8) + 24(9) = 296

80 + 216 = 296

296 = 296

4 0
3 years ago
A hockey player strikes a hockey puck. The height of the puck increases until it reaches a maximum height of 3 feet, 55 feet awa
tatuchka [14]

Answer:

Second puck travels farther

Step-by-step explanation:

Maximum height of first puck = 3 feet

The height of a second hockey puck is modeled by:

y=x\left(0.15-0.001x\right)

y=0.15x-0.001x^2

To find maximum height of second puck

y'=0.15-0.002x

Equate the derivative equals to 0

0.15-0.002x=0

\frac{0.15}{0.002}=x

75 = x

At x = 75

y=0.15(75)-0.001(75)^2=5.625

So, The maximum height of second puck is greater than  first puck

So, Second puck travels farther

5 0
3 years ago
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