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zepelin [54]
3 years ago
8

If 0 ≤ Ø < 90 degrees, and tan Ø= 2/3, what is sinØ + cosØ?

Mathematics
1 answer:
Alika [10]3 years ago
4 0

Answer:

1.38

Step-by-step explanation:

tan Ø = 2/3

Ø = tan⁻¹(2/3)

Ø = 33.69

sin 33.69 ≈ 0.55

cos 33.69 ≈ 0.83

sin Ø + cos Ø ≈ 1.38

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For what values of p does the equation px = 10 have a solution −5; 1; 20?
shutvik [7]

The values of p for which the equation px = 10 have a solution −5; 1; 20 is -2, 10, \frac{1}{2}

<u>Solution:</u>

Given, equation is px = 10.

We have to find the values of p for which solutions of given equations becomes -5, 1, 20.

We just need to substitute -5, 1, 20 in given equation as x, to values of p.

Now, For -5 ⇒ p(-5) = 10 ⇒ -5p = 10 ⇒ p = -2

For 1 ⇒ p(1) = 10 ⇒ p = 10

For 20 ⇒ p(20) = 10 ⇒ 20p = 10 ⇒ p = \frac{1}{2}

Hence, the values of p are -2, 10, \frac{1}{2} for the solutions -5, 1, 20 respectively.

3 0
3 years ago
The formula for the area of a circle is A equals xr2 this formula allows you to find the area of a circle if you know the radius
iVinArrow [24]

Answer:

The relation for the area of circle with radius , Diameter , circumference is

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }

Step-by-step explanation:

Given as :

The formula for the area of circle = \pi × radius²

I.e A =  \pi × radius²

<u>Now If we know radius then </u>

Area calculated as A=   \pi × radius²

<u>If we know Diameter then</u>

Area calculated as   \pi × (\dfrac{\textrm Diameter}{2})²

Or, A =   \pi × (\dfrac{\textrm D}{2})²

I,e  A = \frac{\pi D^{2} }{4}

<u>If we know the circumference then</u>

∵ circumference = c = 2 × \pi × radius

or, c =  2 × \pi × r

from here we calculate radius

I.e  r = \frac{c}{2\pi  }

And So , Area ( A ) = \pi × radius²

I.e   A = \pi × ( \frac{c}{2\pi  } )²

Or, A = \frac{c^{2} }{4\pi }

Hence The relation for the area of circle with radius , Diameter , circumference is

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }      Answer

4 0
3 years ago
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leva [86]

Answer:

(7 guess )am I right or not.

6 0
3 years ago
Read 2 more answers
Pls help. No files pls. Will give brainliest.
nordsb [41]

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3 years ago
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lidiya [134]

Answer:

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