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Vinil7 [7]
3 years ago
10

Help me solve this problem and explain to me please

Mathematics
1 answer:
Natalka [10]3 years ago
8 0
The answer would be 3 and 2. Complementary means when you add two angles together, they equal 90° or a right angle.
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What is the reason for number three in this proof?
Natasha_Volkova [10]

Answer:

opposite exterior angles

4 0
4 years ago
Given cosα = −3/5, 180 < α < 270, and sinβ = 12/13, 90 < β < 180
torisob [31]

I got

-  \frac{6 3}{65}

What we know

cos a=-3/5.

sin b=12/13

Angle A interval are between 180 and 270 or third quadrant

Angle B quadrant is between 90 and 180 or second quadrant.

What we need to find

Cos(b)

Cos(a)

What we are going to apply

Sum and Difference Formulas

Basics Sine and Cosines Identies.

1. Let write out the cos(a-b) formula.

\cos(a - b)  =  \cos(a)  \cos(b)  +  \sin(a)  \sin(b)

2. Use the interval it gave us.

According to the given, Angle B must between in second quadrant.

Since sin is opposite/hypotenuse and we are given a sin b=12/13. We. are going to set up an equation using the pythagorean theorem.

.

{12}^{2}  +  {y}^{2}  =  {13}^{2}

144 +  {y}^{2}  = 169

25 =  {y}^{2}

y = 5

so our adjacent side is 5.

Cosine is adjacent/hypotenuse so our cos b=5/13.

Using the interval it gave us, Angle a must be in the third quadrant. Since cos is adjacent/hypotenuse and we are given cos a=-3/5. We are going to set up an equation using pythagorean theorem,

.

( - 3) {}^{2}  +  {x}^{2}  =  {5}^{2}

9 +  {x}^{2}  = 25

{x}^{2}  = 16

x = 4

so our opposite side is 4. sin =Opposite/Hypotenuse so our sin a =4/5.Sin is negative in the third quadrant so

sin a =-4/5.

Now use cosine difference formula

-  \frac{3}{5}  \times  \frac{5}{13}  +   - \frac {4}{5}  \times  \frac{12}{13}

- \frac{15}{65} + (  - \frac{48}{65}  )

-  \frac{63}{65}

Hope this helps

6 0
3 years ago
Find the inverse f(x)=8-9x
Sati [7]

Answer:

{f}^{ - 1} (x) =  -  \frac{1}{9} x  +  \frac{8}{9}

Step-by-step explanation:

f(x) = 8 - 9x

y = 8 - 9x

x = 8 - 9y

8 - 9y = x

- 9y = x - 8

y =  -  \frac{1}{9} x +  \frac{8}{9}

\boxed{\green{{f}^{ - 1} (x) =  -  \frac{1}{9} x  +  \frac{8}{9}}}

4 0
3 years ago
Write twenty-three hundreds as a decimal
mina [271]

Answer:

0.023

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
The graph represents a person’s heart rate in beats per minute during 30 minutes of exercise. Which statement best describes th
DanielleElmas [232]

We know that

when we start exercise our hear beats starts increasing gradually

because blood flowing rate becomes higher

and it keeps increasing upto a certain limit

because for normal human beings maximum heart rate is 135 beats per minute

and it remains constant there for few minutes

and as we slow down slowly

It will start decreasing  gradually and then becomes normal

we can see the graph

so,

The heart rate increases for 6 minutes, remains constant for 19 minutes, and then gradually decreases for 5 minutes..........Answer

6 0
4 years ago
Read 2 more answers
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