Answer: 68/67.8 toothpicks
Step-by-step explanation
first convert how many inches 11.3 feet is
11.3 = 135.6 inches
so after you get your number you get your calculator and divide it by how many inches the toothpicks are
135.6 ÷ 2= 67.8
then to get a solid answer you would round it to a whole number
67.8--> 68
so you ether say the rounded number or you cut .2 inches off the last toothpick
(also im not sure if its 11.3ft or 113ft so if so then take away the decimal and do the same math, you'll end up with 678 toothpicks)
A, C, and D. Hope this helps!
<u>Answer:</u>
5x = 100°
4x = 80°
<u>Step-by-step explanation:</u>
We are given a diagram with a straight line AC being intersected by another line BD and we are to find the two mentioned angles.
We know that the two angles (5x° and 4x°) are supplementary so their sum would be equal to 180°.
So we can write it as:




Finding the measure of both the angles:
100°
80°
Recall that the volume of a regular prism is given by the area of the base times the height.
Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.
The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.
Recall that the are of a triangle is given by 1/2 base times height.
Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by