Answer:
Step-by-step explanation:
1. (2/5)(-5/7) = (2)(5)/(-5)(7) = -10/35 = -2/7
2. 4/9 - 3/9 = 1/9
Answer: OPTION D
Step-by-step explanation:
To solve this problem you must apply the formula for calculate the surface area of the rectangular prism:
Where w is the width, h is the heigh and l is the lenght.
Based on the rectangular prism shown, you have that:
Finally when you substitute values into the formula you obtain the following result:
![SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2](https://tex.z-dn.net/?f=SA%3D2%5B%289.08cm%2A3.23cm%29%2B%2811.73cm%2A9.08cm%29%2B%2811.73cm%2A3.23cm%29%5D%3D347.45cm%5E2)
We will use the angle bisector theorem here for 
. ED being the angle bisector.
Thus, from the diagram we will have:
We will now plug in the values given in the diagram.
Answer:
shaded area = 8.7 ft²
Step-by-step explanation:
area of circle = πr² = (3.14)(4²) = 50.24 ft²
apothem of hexagon = (sin 60° x 4) = 3.464
area of hexagon = 1/2(3.464)(6)(4) = 41.56 ft²
50.24 - 41.56 = 8.68 ft²
Answer:
s = 35pi units
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
Step-by-step explanation:
Arc length is found by
s = r * theta where r is the radius and theta is given in radians
Changing the angle from 150 degrees to radians by multiplying by pi/180
150 *pi/180 = 5/6 pi
Now we can use the formula
s = 42 * 5/6 pi
s = 35pi
We can either leave it with pi in the answer or approximate
s= 109.9557429 units
