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nadezda [96]
3 years ago
15

Kari is flying a kite.she realeses 50feet of string.what is the approximate difference in the height of the kite when the string

makes a 25 degree angle with the ground and when the string makes a 45 degree angle with the ground?round to the nearest tenth
Mathematics
1 answer:
Elza [17]3 years ago
4 0
Sinα=h/s

h=ssinα

h=50sinα

dh=h(45)-h(25)

dh=50(sin45-sin25) feet

dh≈14.2 ft (to nearest tenth of a foot)
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In the diagram, point P is a point of tangency. Find the radius r of circle O.​
vlabodo [156]

Answer:

r = 12

Step-by-step explanation:

From the figure attached,

QP is a tangent to the circle O at the point P.

Therefore, by the property of tangency,

OP ⊥ QP

By applying Pythagoras theorem In right triangle QPO,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

(OQ)² = (OP)² + (PQ)²

(25 + r)² = (35)² + r²

625 + r² + 50r = 1225 + r²

50r = 1225 - 625

50r = 600

r = 12

Therefore, r = 12 units is the answer.

4 0
3 years ago
The LCM of two numbers in 2310 and their HCF.
ruslelena [56]

Answer:

The other number is 330

Step-by-step explanation:

The computation of the other number is shown below:

As we know that

HCF × LCM = Product of Two Numbers

So,

30 × 2310 = 210 × other number

Now

The other number is

= (30 ×  2310) ÷ 210

= 330

hence, the other number is 330 and the same is to be considered

We simply applied the above formula so that the correct answer could come

6 0
3 years ago
The owner of a quick oil-change business charges
Mkey [24]

Answer:

the sun is actually a planet

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8 0
3 years ago
What is the fifth term of a number pattern that begins with 32 and adds 5? A. 47 B. 42 C. 52 D. 57
artcher [175]

The answer you want would be C.52

Reason: 32+5= 37 that is the 1st and 2nd term. 37+5=42 thatis the 3rd term. 42+5=47 that's the 4th term. And 47+5=52 that's the 5th term.

Hope it helps!!


8 0
3 years ago
Please Hurryyy
Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

\rm j^2 = h^2 + i^2 -2hicosC

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8

Hence,  the measure of angle J is 19.8°, and the correct option is D.

Learn more about law cosine here;

brainly.com/question/17289163

#SPJ1

3 0
2 years ago
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