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2 years ago

What are the coordinates of the terminal point determined by t=20pi/3?

Mathematics

1 answer:

attashe74 [19]2 years ago

3 0

Answer:

(- 1/2 , √3/2)

Step-by-step explanation:

t=20π/3

t' = 20π/3 - 6π = 2π/3 (120°) ... 2nd quadrant

If we start from (1,0) of unit circle, the coordinate of terminal point (x,y)

OF/OE = - cos 60° = x / 1 = - 1/2

FE/OE = sin 60° = y/1 = √3/2

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Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

2 years ago

Please help it’s asking the perimeter to the nearest tenth

valkas [14]

Pythagoras theoram? use it here!

That is,

H² = B² + P²

H² = 15² + 4²

H² = 225 + 16

H = √241

H = 15.5

You should opt for 15.5

P.S: Best of luck for your test! ;))

5 0

2 years ago

How many gallons of a 20% acid solution should be mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solut

Alexeev081 [22]

Answer:

30 gallons of 20% acid solution should be mixed.

Step-by-step explanation:

Let x gallons of a 20% acid solution was mixed with 30 gallons of a 40% solution, to obtain a mixture of 30% acid solution.

Therefore, final volume of the solution will be (x + 30) gallons.

Now concept to solve this question is

20%.(x) + 40%.(30) = 30%.(x + 30)

0.20(x) + 0.40(30) = 0.30(x + 30)

0.20x + 12 = 0.30x + 9

0.30x - 0.20x = 12 - 9

.10x = 3

x = $\frac{3}{0.1}$

x = 30 gallons

Therefore, 30 gallons of the 20% acid solution should be mixed.

4 0

3 years ago

(-22, -3) and (1, -3)?

just olya [345]

Step-by-step explanation:

$(x1y1) = ( - 22 - 3) \\ (x2y2) = (1 - 3) \\ d = \sqrt{ {x 2 - x1) }^{2} } + {(y2 - y1) }^{2} \\ \sqrt{ {(1 - - 22)}^{2} } + {( - 3 - - 3)}^{2} \\ \sqrt{ {(1 + 22)}^{2} } + {(0)}^{2} \\ \sqrt{ {(23)}^{2} } \\ = 23 \: \: \: \: answer \: \: \: please \: \: supprt \: \: and follow \: \: me$

7 0

2 years ago

Find the measure of the numbered angle. a. 62.5 b. 105 c. 112.5 d. 115

Anit [1.1K]

Answer:

115

Step-by-step explanation:

The angle is vertically opposite to 115. vertically opposite angles are equal

6 0

2 years ago