Answer:
B
Step-by-step explanation:
41 + 40 + 57.28 ft, 138.28 ft.
First we'll consider the floor size.
In a 10 by 12 room the longest pipe that will fit lying on the floor equals the hypotenuse of a 10 by 12 triangle:
hypotenuse² = 10² + 12²
hypotenuse² = 100 + 144
hypotenuse² = 244
hypotenuse =
<span>
<span>
<span>
15.62 feet
Now we have to consider the third dimension (height = 8 feet).
The two sides would be 15.62 and 8
</span></span></span>hypotenuse² =
15.62² + 8²
hypotenuse² =
244 + 64 = 308
hypotenuse = 17.55
So, the longest pipe that would fit in that room would be 17.55 feet long.
Answer:
WITH WHAT
Step-by-step explanation:
Answer:
122.5 cm²
Step-by-step explanation:
a = 21cm
b = 14cm
h = 7cm
Area of given figure(trapezium) =
= 21 + 14/ 2 * 7
= 35/2 * 7
= 17.5 * 7
= 122.5 cm²
Answer:
B
Step-by-step explanation:
(Sorry about the crude drawing)
The drawing shows what the triangle with a terminal side in Quadrant IV looks like.
Secant is the ratio of the hypotenuse to the adjacent side of the angle. In the given ratio, we can set 5 as the hypotenuse and 2 as the adjacent side (you can see them labeled in the picture).
Now, we want to find sin, which is (opposite)/(hypotenuse). However, we don't know the opposite. We can find it by using the Pythagorean Theorem:
So, the opposite side is . But, we see that since it's in the fourth quadrant, it must be negative, so we have opposite = . Now, we can find the ratio because hypotenuse = 5:
sin(θ) = .
Thus, the answer is B.
Hope this helps!