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schepotkina [342]
3 years ago
6

Given that cos 26 degrees= 0.899, write the sine of a complementary angle

Mathematics
1 answer:
Vladimir [108]3 years ago
5 0

Complementary = angle+other angle = 90 degrees

90-26(given)=64
There is only one complimentary angle to any other angle, so 64 is the only other one. Sin(64)=.899

Sin(64)=cos(26)
This is because cosine and sine are actually THE SAME. Cosine exists because there's sine. Cosine is sine moved over on a graph a bit. The sine of any angle, plus 90degrees (or pi/2) is equal to the cosine of that angle

Cos(x)=sin(x+90) <--degrees
Cos(x)=sin(x+pi/2) <-- radians(from unit circle)

Unit circle has 90 degrees at pi/2 which is why that works. Using a graphing calculator in degrees, you'd use the first equation I gave to prove that they're equal, and in radian mode, you'd use the second one. Cosine is Co in front of sine. Co meaning complimentary, which is why the problem equals each other when solved
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If f(x) = - x + 4 and g(x) = x ^ 2 - 5 , then f(g(-2))=?
kkurt [141]

Answer:

Step-by-step explanation:

using your f(x) I want to show you how to plug in different things itnot he function.

f(x) = -x + 4

f(1) = -1 + 4 = 3

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f(m) = -m + 4

f(abc) = -(abc) + 4

f(h(x)) = -h(x) + 4

Does that help?  what if you replaced h(x) with g(x)?  Of course you already have that x so you could make it a little simpler as well.  Let me know if you don't quite get it.

5 0
3 years ago
A washer and dryer cost a total of $960. The cost of the washer is three times the cost of the dryer. Find the cost of each item
xeze [42]

Cost of washer: $720

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I've taken this test before and got it right, so you're good :)

8 0
3 years ago
The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest
allsm [11]

9514 1404 393

Answer:

  smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

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3 0
3 years ago
H(t)=(t+3)
Anarel [89]

Answer:

0

Step-by-step explanation:

h(t) = (t + 3)² + 5, -5 ≤ t ≤ -1

The average rate of change is the change in h over the change in t.

(h(-1) − h(-5)) / (-1 − (-5))

= ((-1 + 3)² + 5 − ((-5 + 3)² + 5)) / (-1 + 5)

= (4 + 5 − 4 − 5)) / 4

= 0

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3 years ago
Regina purchased 1.75 pounds of turkey breast from local deli for $5.99 per pound. To the nearest cent, how much did she spend i
ivanzaharov [21]
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I'd go with answer C!
6 0
3 years ago
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