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taurus [48]
3 years ago
8

Help please and no links

Mathematics
1 answer:
Rashid [163]3 years ago
7 0

Answer:

I cant see the question :/

Step-by-step explanation:

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The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
katrin2010 [14]

Answer:

sin x = 0.998

cosx = 0.046

Step-by-step explanation:

<u>Given that:</u>

tan x = 21

where interval of x is [0,\dfrac{\pi}{2}].

We know that the trigonometric identity for tan x is:

tan\theta = \dfrac{Perpendicular}{Base}

Comparing with:

tan x = \dfrac{21}{1}

Perpendicular = 21 units

Base = 1 unit

As per pythagorean theorem:

\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\

\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units

interval of x is [0,\dfrac{\pi}{2}] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.

We know that

sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}

So, sine x :

\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998

Similarly, value of cos x :

\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046

3 0
3 years ago
MATHEMATICAL CONNECTIONS The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find
loris [4]

Given :

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder.

To Find :

The relation between height and radius.

Solution :

S.A=2\pi rh+2\pi r^2=2\pi r(h+r)

V=\pi r^2h

Now ,

S.A=V\\\\2\pi r(h+r)=\pi r^2h\\\\2(h+r)=rh\\\\2h+2r=rh\\\\h(2-r)=-2r\\\\h=\dfrac{2r}{r-2}

Hence, this is the required solution.

6 0
3 years ago
Solve.write or draw to explain.
Alexandra [31]

Millie has a box of 100 cubes and a box of 70 cubes

she has 100+70 cubes together=170

She wants to make trains of 10 cubes each,

Which means,she needs to divide 170 with 10.

170/10

=17

she can make 17 trains of 10 cubes each..

4 0
4 years ago
PLEASE HELP me with this!! no explanation needed:)
Yuki888 [10]

Answer:

B.

Step-by-step explanation:

8 0
3 years ago
Of 80 people attending a dance 28 dance with their hands touching the floor. If four people at the dance are selected at random,
tensa zangetsu [6.8K]

Answer: The probability is 0.013

Step-by-step explanation:

Out of 80 people, 28 of them dance with the hands touching the ground.

Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.

For the first selection, this is p1 = 28/80

now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)

for the third and the fourth we have:

p3 = 26/78

p4 = 25/77

Then the probability of the fourth events is equal to the product of the four probabilities:

P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013

3 0
3 years ago
Read 2 more answers
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