Rainbow rainbow, high and bright.

Two angles are complementary. The larger angle is 36 more than the smaller angle. What is the measure of the larger angle?

iren [92.7K]

Answer:

The largest angle is 63

Step-by-step explanation:

Shows that one is 36 degrees larger: 63 - 36 = 27

Shows that the angles are complementary/Their sum is 90: 27 + 63 = 90

6 0

3 years ago

Tan 0 = -2, 0

julsineya [31]

Answer:

Sin O = $\frac{2\sqrt{5} }{5}$

Cos O = $-\frac{\sqrt{5} }{5}$

Cot O = $-\frac{1}{2}$

Csc O = $\frac{\sqrt{5} }{2}$

Sec O = $-\sqrt{5}$

Step-by-step explanation:

Do you know the definitions of all the trig functions? If not, you need to memorize them. Also, you need to memorize which functions are positive in each quadrant. All functions are positive in quad I, sine and reciprocal are positive in quad II, tan and reciprocal are positive in quad III, and cos and reciprocal are positive in quad IV. OK?

Tan of an angle is opposite side/adjacent side of a right triangle

If the tan O = - 2. let the opp. side = 2 and adjacent side = 1. Then the hypotenuse = $\sqrt{2^{2} + 1^{2} } = \sqrt{4 + 1} = \sqrt{5}$

Sine is positve and equals opp/hyp = $\frac{2}{\sqrt{5} } = \frac{2\sqrt{5} }{5}$

Cos is negative and equals adj/hyp = $-\frac{1}{\sqrt{5} } = -\frac{\sqrt{5} }{5}$

Cot is negative and is the reciprocal of the tan or adj/opp = $\frac{-1}{2}$

Csc is positive and is the reciprocal of the sine or hyp/opp = $\frac{\sqrt{5} }{2}$

Sec is negative and is the reciprocal of the cos or hyp/adj = $-\sqrt{5}$

5 0

3 years ago

What does m equal in:<br> 7 1/9 = 2 4/5 + m

True [87]

Simple, take 7 1/9 and 2 4/5
and convert them

7 1/9=64/9
and
2 4/5=14/5

Find a common denominator

320/45
-
126/45

=194/45

Thus, m=194/45.

8 0

3 years ago

Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch

Ivenika [448]

Answer:

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion

Step-by-step explanation:

Given that

Rachel traveled to 5 areas to find number of Buckeye and Monarch butterflies.

Areas Rachel Traveled to = A, B, C, D, E

The table given below shows her findings.

Area Buckeye Monarch

A 15 16

B 27 36

C 12 25

D 24 32

E 44 33

Now lets find the ratio of Buckeye and Monarch Butterflies in these areas

Area A

Buckeye : Monarch = 15:16 = 0.9375

Area B

Buckeye : Monarch = 27:36 = 0.75

Area C

Buckeye : Monarch = 12:25= 0.48

Area D

Buckeye : Monarch = 24:32 = 0.75

Area E

Buckeye : Monarch = 44:33 = 1.334

As we know that if two ratios give same answer after solving the fraction then these ratios are in proportion.

As we can see our our ration in Area B and Area D gives the same answer, so they are in proportion.

4 0

3 years ago

Read 2 more answers

Which expression means five times the sum of b and two?

bezimeni [28]

Answer:

A

Step-by-step explanation:

Brackets are used to show multiplication.

For A if we multiple out the brackets we get: 5b+10 which means 5 times the sum if b and 2

5 0

2 years ago

Read 2 more answers