Answer:
48 feet of fence
Step-by-step explanation:
A rectangle has 4 sides, the parallel sides are equal to each other in length.
If Hector used 14 feet of fence on the long side, he used 28 feet in total for both long sides.
If Hector used 10 feet for the width/short side, he used 20 feet in total for both short sides.
Put simply: (14 x 2) + (10 x 2) = 48 feet of fence in total
Answer:
Odd function
Step-by-step explanation:
So to see if a function is odd or even we need to plug in a negative x for x, so f(-x)=4(-x)^3-5(-x). This produces -4x^3+5x, which is the exact opposite of the original equation, so it is an odd function. If it were even, then the signs of the coefficients would be the same as the original function.
Answer:
x = 11
y = 3
Step-by-step explanation:
In a parallelogram opposite sides are equal.
8x = 88
x = 88/8
x = 11
4y - 7 = y + 2
4y = y + 2 + 7
4y = y + 9
4y - y = 9
3y = 9
y = 9/3
y = 3
Answer:
Step-by-step explanation:
Please refer to the attached diagram. (Apologies if the shading or resolution is a bit off.)
So, we want to find θ.
Since we formed a right triangle, we can use right triangle ratios.
We know the measure of the adjacent side to θ and the hypotenuse.
Therefore, we will use the cosine ratio:
The adjacent side is 2 and the hypotenuse is 15. By substitution:
Now, we will take the inverse cosine of both sides. So:
Use a calculator. Hence:
The angle between the ground and the ladder is about 82.34°.
What are the following fractions
