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Damm [24]
3 years ago
14

Given cosx= 4/5 when (3π/2) < x<2π find sin2x

Mathematics
1 answer:
jarptica [38.1K]3 years ago
8 0

Answer:

D -24/25

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

cos(x) = ⅘

sin²(x) = 1 - cos²(x) = 1 - (⅘)²

sin²(x) = 9/25

sin(x) = -⅗

(Because 4th quadrant)

sin(2x) = 2(-⅗)(⅘)

= -24/25

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125

Step-by-step explanation:

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2 years ago
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Evaluate the expression: 10P3
anyanavicka [17]

Answer:

  720

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nPk = n!/(n-k)!

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3 years ago
Three streets intersect to form a right triangle as shown below. The parts of streets that make up the legs of this triangle are
Burka [1]

Answer:

70 yd.

Step-by-step explanation:

The three streets at the intersection form a right triangle.

For a right triangle, the length of the longest side (called hypothenuse) is given by Pythagorean's theorem:

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where

x is the length of the 1st side

y is the length of the 2nd side

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Here we want to find the hypothenuse.

We have:

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Substituting, we find h:

h=\sqrt{42^2+56^2}=70 yd

7 0
3 years ago
Brenda bought a new computer $380 .she made a payment $140 and got a discount of $30 .Her mother paid 1/2 of the balance . How m
Lelechka [254]

Answer:

She needs to pay $20 more.

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3 years ago
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Please help, it’s due today :)
Cloud [144]

Answer:

x =5

Step-by-step explanation:

We can use ratios for the side lengths

9              x

--------- = -----------

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Subtract 9x from each side

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Divide each side by 18

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