<u>Answer:</u>
<u>(6x^(3)+11x^(2)-19x+5)-:-(3x-2)</u>
<u>Step-by-step explanation:</u>
for some reason it showed that but yeah hope this helps!
Answer:
= (∛(100x))/5
Step-by-step explanation:
Given the expression; ∛(4x/5)
To simplify this we need to make denominator a perfect cube.
So multiply and divide 25 inside the cube root, so that the denominator will become a perfect cube of 5.
∛(4x/5) = ∛((4x/5)×(25/25))
= ∛(100x/125)
= ∛(100x/5³)
<u>= (∛100x)/5</u>
Answer:
The answer is 7.
Step-by-step explanation:
You have to substitute the value of x into the function :





Answer:
The area of the composite figure is 1360 ft.
Step-by-step explanation:
First, you should split up the composite figure into separate shapes.
So to find area of the triangle all the way on the left, you multiply base x height then divide by 2.
<u>30 x 34 = 1020 ÷ 2 = 520.</u>
Then, moving on to next shape, we can break up the trapezoid into a rectangle and a triangle.
To find area of the rectangle you multiply length x width.
<u>16 x 30 = 480.</u>
Finally, we have the last triangle right above the rectangle. Keep in mind that the rectangle does not have a length of 40!
You have to subtract 40 - 16 which equals 24.
<u>30 x 24 = 720 ÷ 2 = 360.</u>
Now that we have all 3 numbers, we simply add them all together and you will get an answer of 1360 ft.
Remember to label your answer!
I got

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.

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.
.




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,
.




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



Hope this helps