1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MissTica
3 years ago
12

If sinA =3/5 and A+B =90 find cosB

Mathematics
1 answer:
-Dominant- [34]3 years ago
8 0

A+B=90^o\to B=90^o-A\\\\\cos B=\cos(90^o-A)=\cos90^o\cos A+\sin90^o\sin A\\\\=\cos A+1\cdot\dfrac{3}{5}=0+\dfrac{3}{5}=\dfrac{3}{5}\\\\\boxed{\cos B=\dfrac{3}{5}}

Used:\\\\\cos(x+y)=\cos x\cos y+\sin x\sin y\\\\\cos90^o=0,\ sin90^o=1

Other method:

Look at the picture.

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\sin A=\dfrac{3}{5}\to opposite=3\ and\ hypotenuse=5

\cos\theta=\dfrac{adjacent}{hypotenuse}\\\\adjacent=3\ and\ hypotenuse=5\to\cos B=\dfrac{3}{5}

You might be interested in
Solve the proportion
4vir4ik [10]

Answer:

The proportion is 2/7 = 12/42

x = 12

The answer is 12

8 0
2 years ago
What is the simplified base for the function f(x) = 2(7272x)?<br> 02<br> O 3<br> O 9<br> O 18
Tomtit [17]

Answer:

C, the answer is nine iajfjsifnsbfjroajdjaidjsbfbsja

8 0
3 years ago
Read 2 more answers
If n is a positive even number, then the product of (-12)ⁿ will be what
kipiarov [429]

Answer:

a positive even number.

Step-by-step explanation:

I suggest plugging in random positive even numbers and finding a pattern. (-12)^2 = 144. (-12)^ 4= 20,736. this is because two negatives, when multiplied, turn to a positive. the n is how many times negative 12 is multiplied with itself

3 0
3 years ago
1. A dilation with a scale factor of 4 and centered at the origin is applied to AB¯¯¯¯¯ with endpoints A(1, 3) and B(5, 3). Drag
mafiozo [28]
1. (-4,-1) 2.A' (4,12) B'(20,12) 3.B' 4.2  5. 1/8 hope u got them all right  :p 
4 0
3 years ago
Read 2 more answers
The slope of the line that passes through the points (-10,y) and (5, 2) is 2/5. What is the value of y?
Murrr4er [49]

Answer:

C, -4

Step-by-step explanation:

slope=change in y/change in x

\frac{2 - y}{5 - ( - 10)}  =  \frac{2}{5}

\frac{2 - y}{5  + 10}  =  \frac{2}{5}

multiply both sides by 2/5

2 - y =  \frac{2}{5} (5 + 10)

simplify the right side. 2/5 × 5 = 2 and 2/5 × 10 = 4

2 - y = 2 + 4

2 - y = 6

bring y to the other side by adding y on both sides

2 = 6 + y

subtract 6 on both sides

2 - 6 = y

so y is -4

7 0
2 years ago
Other questions:
  • 875,932,461,160 what digit is in the hundred-millions place of this number.
    13·1 answer
  • How do you work y=2x-1 <br> X=-6
    15·2 answers
  • What is the density of volume and mass
    10·1 answer
  • What is the cube root of 3?
    15·2 answers
  • Choose all of the equations that are equivalent to 8k = 20. 8k – 4 = 20 + 4 8k ÷ 4 = 20 ÷ 4 8k × 3 = 20 × 3 8k + 10 = 20 + 10 8k
    7·1 answer
  • A symbol used to separate the ones and the tenths place is
    5·1 answer
  • Is this true or false ??
    10·1 answer
  • A server sees 84 customers over 6 hours. How many customers did they see in 1 hour?
    15·1 answer
  • Pls, help!!!! Will make brainliest!!!
    7·1 answer
  • Initially, 40 bacteria are placed in a Petri dish. It is observed that the bacteria triple in population every 11 hours. How can
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!