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maw [93]
3 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]3 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

You might be interested in
3600/40 what is it Evaluate
Elden [556K]
Just put it in a calculator, it’s 3600 divided by 40
3 0
3 years ago
Somebody please help me​
Art [367]

Answer:

  66°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°.

__

  79° +x +35° = 180°

  x = 180° -114° . . . . . . . . subtract 114° from both sides

  x = 66° . . . . . simplify

8 0
2 years ago
Read 2 more answers
Simplify the following 7 times the square root of 54 - 2 times the square root of 24
EleoNora [17]
The first step for solving this problem is to simplify the radical
7\sqrt{54 - 2} x 2√6
Calculate the product
14\sqrt{(54 - 2) X 6}
Subtract the numbers
14\sqrt{56 x 6}
Simplify the radical
14 x 2\sqrt{13 x 6}
Multiply the numbers
14 x 2√78
Finally,, calculate the product for your final answer
28√78
Let me know if you have any further questions
:)
4 0
4 years ago
The circumference of a circle is 20π. What is the area of the circle?
Shkiper50 [21]

Answer:

The area of the circle is 100 square units.

Step-by-step explanation:

We are given that the circumference of a circle is 20π, and we want to determine its area.

Recall that the circumference of a circle is given by the formula:

\displaystyle C = 2\pi r

Substitute:

20 \pi = 2 \pi r

Solve for the radius:

\displaystyle r = \frac{20\pi}{2\pi} = 10

The area of a circle is given by:

\displaystyle A = \pi r^2

Since the radius is 10 units:

\displaystyle A = \pi (10)^2

Evaluate:

\displaystyle A = 100\pi\text{ units}^2

In conclusion, the area of the circle is 100 square units.

3 0
3 years ago
Someone help please and thank you!
Mariulka [41]

Answer:

\boxed{11\frac{1}{3}}

Step-by-step explanation:

\text{Number of stones} = \frac{\text{Length of path}}{ \text{ Length of each stone}}\\

= 2\frac{5 }{ 6} \div \frac{ 1}{ 4}\\

Convert the mixed number to an improper fraction

2\frac{5 }{ 6} \div \frac{ 1}{ 4} = \frac{17}{6}\div\frac{ 1}{ 4}\\

Invert the denominator and change division to multiplication

\frac{17}{6}\div\frac{ 1}{ 4} = \frac{17}{6}\times \frac{ 4}{ 1}\\

Cancel the 2s

\frac{17}{6}\times \frac{ 4}{ 1} = \frac{17}{3}\times \frac{ 2}{ 1}\\

Multiply numerators and denominators.

\frac{17}{3}\times \frac{ 2}{ 1} = \frac{ 34}{ 3}\\

Convert the improper fraction to a mixed number.

\frac{ 34}{ 3} = 11\frac{1}{3}\\

It takes \boxed{11\frac{1}{3}}stones to complete the path.

5 0
3 years ago
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