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user100 [1]
3 years ago
8

If θ is an angle in standard position that passes through (-3, 4), find sin2θ.

Mathematics
1 answer:
julia-pushkina [17]3 years ago
8 0

Answer:

Correct answer: sin 2Θ = - 24/25

Step-by-step explanation:

If under the standard position you think that the first arm (side) belongs to the positive direction of the x axis and the second one passes through a given point then it is:

if we form a right triangle with sides 3 and 4 then the hypotenuse is 5.

sin Θ = 4/5 and cos Θ = - 3/5

we know that the formula for double the value of the angle is:

sin 2Θ = 2 sinΘ cosΘ = 2 · 4/5 · ( - 3/5) = - 24/25

sin 2Θ = - 24/25

God is with you!!!

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X > -2 is the answer
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4 years ago
Can someone like an ace or very good at math help me
eimsori [14]
Supplementary angles , when added, = 180
complimentary angles, when added, = 90

< AQC + < GQC = 180.....supplementary
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< GQF , < FQE.....neither
< BQC + < DQC = 90....complimentary

< W and < X are supplementary...
if < W = 37, then < X = (180 - 37) = 143

< S and < T are complimentary
if < S = 64, then < T = (90 - 64) = 26

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4 0
4 years ago
A jar contains 0.75 liter of blackberry juice and 0.60 liter of blueberry juice. Patrick poured 0.25 liter of guava juice into t
mixas84 [53]

Answer:

1.40 litres; order of operations

Step-by-step explanation:

Part A:

First, write it out in the full form.

#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar

Part B:

Removing the wordy descriptions from the expression, we get the following:

#2 (.75 + .60 +.25) - .20

or, by adding the numbers in the parentheses first:

#3 (1.60) - .20 = 1.40

#4 1.40 litres of juice left in the jar

The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.

8 0
3 years ago
Solve for X.<br><br> Y=2/3×-4
ArbitrLikvidat [17]

Answer: -8/3

Step-by-step explanation:

Multiplying a positive and a negative equals negative: (+)•(-)=(-)

y= - 2/3•4

Y= -8/3

3 0
3 years ago
In quadrilateral ABCD,AB produced is perpendicular to DC produced.If A=44° and C=148°,calculate D and B.
7nadin3 [17]
Let AB extended intersect DC extended at point E 
<span>We now have right triangle BEC with E = 90 degrees </span>

<span>For triangle BEC: </span>
<span>Exterior angle at E = 90 </span>
<span>Exterior angle at C = 148 (given) </span>
<span>Exterior angle of all polygons add up to 360 degrees </span>
<span>Exterior angle at B = 360−148−90 = 122 </span>

<span>So in quadrilateral ABCD </span>
<span>B = 122 </span>
<span>D = 360−44−148−122 = 46</span>
5 0
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