-12x4m8n 6x5m-10n-6

If sin(x) = cos(y) for acute angles x and y, how are the angles related?

Vesnalui [34]

Answer:

b. complementary

Step-by-step explanation:

-Complementary angles are angles that add up to 90°.

-These are usually the two acute angles in the right triangle.

#To verify, lets take the two angles 30° and 60°:

$Cos \ 60\textdegree=0.5\\\\Sin \ 30\textdegree=0.5\\\\\therefore Sin \ 30\textdegree=Cos \ 60 \textdegree=0.5$

#We can reverse as:

$Sin \ 60\textdegree=0.86603\\\\Cos \ 30\textdegree=0.86603\\\\\therefore Sin \ 60\textdegree=Cos \ 30\textdegree=0.86603$

Hence, two angles are said to be complimentary if they sum up to 90°.

6 0

3 years ago

Someone help please!!!

Sati [7]

Answer:

y intercept = -5 

slope= 4 

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

 

SO THATS HOW WE ARRIVED AT -5 AND 4.

 WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

4 0

3 years ago

What are the names of three planes that contain point B? a planes ABD, EFG, and BDH b planes ABD, AEF, and DHF c planes CDH, ABF

Radda [10]

Answer

Sol: The correct answer is b. three planes that contain point B are ABD, AEF and DHF.

8 0

4 years ago

Express the recurring decimal 0.142 recurring as a fraction in its simplest form.

kupik [55]

Answer:

7/165

Step-by-step explanation:

We take number after the decimal point 042

then we subtract the non repeating.In this case is 0 so we not subtract anything

This will be the numerator 42

For each repeating decimal we write a 9 (in this case 2 nines)

For each non repeating decimal we write a zero

Denominator is 990

42/990 = 7/165

7:165 = 0.0424242

I think this is what you do. Hope it helps!

5 0

3 years ago

Jason is putting in a new circular shaped fire pit in his backyard.The diameter of the fire pit is 8 feet. What is the area of t

lesya [120]

Pi * r^2 = 16pi
Thank you hope this helps

3 0

3 years ago

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