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2 years ago

10

Do not answer until you see an image, do not attempt to answer, or else I won't be able to edit it, also, only give the full ans

wer, and the correct answer.

1 answer:

aleksley [76]2 years ago

7 0

Range: 6.25
Interquartile range: 3:25
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If tan theta = 10/13 and cos theta > 0 then sin2theta is what ?

svetoff [14.1K]

$sin2\alpha = \frac{260}{269}$

<u>Step-by-step explanation:</u>

We have , $Tan\alpha = \frac{Perpendicular}{Base} = \frac{10}{13}$ ,

We know that $sin\alpha = \frac{Perpendicular}{Hypotenuse} = \frac{Perpendicular}{\sqrt[2]{(Perpendicualr)^{2} + (Base)^{2})} }$

Substituting values of P & B , $sin\alpha = \frac{10}{\sqrt{10^{2} + 13^{2}} } = \frac{10}{\sqrt{269} }$

Now , $sin2\alpha = 2sin\alpha cos\alpha = 2sin\alpha \sqrt{1 - (sin\alpha)^{2} }$

⇒ $sin2\alpha =$ $\frac{10}{\sqrt{269} }$ × $\sqrt{1 - (\frac{10}{\sqrt{269} })^{2} }$ ×2

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{269 - 100}{269} } )$

⇒ $sin2\alpha = \frac{20}{\sqrt{269} }( \sqrt{\frac{169 }{269} } )$

⇒ $sin2\alpha = \frac{260}{\sqrt{269} }( \sqrt{\frac{1}{269} } )$

⇒ $sin2\alpha = \frac{260}{269}$

6 0

3 years ago

JulsSmile [24]

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

$\frac{4x}{4}\geq \frac{8}{4}$

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

4 0

2 years ago

Del ray can run 20 1/2 miles in 2 1/4 hours. How many miles per hour can he run?

emmasim [6.3K]

$20 \frac{1}{2} :2 \frac{1}{4} = \frac{41}{2}: \frac{9}{4}= \frac{41}{2}* \frac{4}{9} =\frac{82}{9} = 9 \frac{1}{9} \ \ \text{miles per hour}$

5 0

2 years ago

URGENT please help me with this !!!

marin [14]

Answer:

480 mm³

Step-by-step explanation:

The volume (V) of a pyramid is

V = $\frac{1}{3}$ area of base × height, hence

V = $\frac{1}{3}$ × 96 × 15 = 32 × 15 = 480

5 0

2 years ago

20POINTS! Determine if two triangles are congruent. If they are, state which theorem you can use to prove congruency. EXPLAIN WH

ki77a [65]

Answer:

both each side of each triangle is equal

use alphabets to mark each edge of the triangles and prove congruency

6 0

2 years ago

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