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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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Help plea i am beg screenshot in
stiv31 [10]

Answer:

SA = 105 in^2

Step-by-step explanation:

To find surface area, find the area of all the shapes and add it all together. This shape has 4 triangle faces. They are all the same. So we can find one of them and times by 4.

Area of a triangle:

A = 1/2b•h

= 1/2• 5 • 8

= 1/2 • 40

= 20

One triangle has area 20, so times by 4 (bc four triangles)

4•20

= 80

Area of square 5•5

= 25

Add the areas:

80 + 25

= 105 sq in

7 0
2 years ago
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
Points A, B, and C are collinear. Point B is between A and C. Find the length indicated. AB= 5x-15, BC=3x-5, and AC=28. Find AB
katrin2010 [14]

Answer: AB is 15

Step-by-step explanation: First, you need to draw a picture and label the parts of the line: AB=5x-15; BC= 3x-5; AC =28. Because of the segment addition postulate, you set the equation to be 5x-15+3x-5=28. Then you solve:

5x-15+3x-5=28

Add like terms:

8x-20=28

Add 20 to both sides

8x=48

Divide by 8

x=6

Now, you need to find the measure of AB, so you plug the 6 into the x variable for 5x-15

5(6)-15

30-15

AB=15

4 0
3 years ago
What is g(x)?<br> A g(x)=-x2<br> B g(x)=-2x<br> C g(x)= -x<br> D g(x)= -|x|
boyakko [2]

Answer:

Should be A

Hope this helped!

8 0
3 years ago
Read 2 more answers
How many 1-inch cubes do you need to create a cube with an edge length of 5 inches?
REY [17]
125, 1 - inch cubes.

5^{3}
Height = 5
Width = 5
Length = 5
3 0
3 years ago
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