Answer:
C
Step-by-step explanation:
Volume of a pyramid = 1/3 base area * height
= 1/3 (8 * 10)(12)
Answer:
40 miles
Step-by-step explanation:
You would have to start by doing $120 - $96 for the per-day fee, which leaves Calvin with $24 to spend on miles.
Next you would do $24 ÷ $0.60 to find the number of miles he can drive, which is 40 miles.
Answer:
Definitions:
The third quartile, denoted by Q3 , is the median of the upper half of the data set. This means that about 75% of the numbers in the data set lie below Q3 and about 25% lie above Q3;
The upper half of a data set is the set of all values that are to the right of the median value when the data has been put into increasing order;
First, we verify data in increasing order:
21, 24, 25, 28, 29, 35, 37, 38, 42 ( okay);
The median is 29;
Therefore, the upper half of the data is {35, 37, 39, 42};
Q3 = ( 37 + 39 ) / 2 = 76 / 2 = 38;
Step-by-step explanation:
Answer:
![\frac{15}{20} x-2=\frac{8}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B20%7D%20x-2%3D%5Cfrac%7B8%7D%7B20%7D)
Step-by-step explanation:
![\frac{3}{4} x-2=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20x-2%3D%5Cfrac%7B2%7D%7B5%7D)
3/4 and 2/5 have a common denominator which is twenty so you can rewrite the equation with just knowing that
![\frac{3}{4} =\frac{15}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%20%3D%5Cfrac%7B15%7D%7B20%7D)
![\frac{2}{5} =\frac{8}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20%3D%5Cfrac%7B8%7D%7B20%7D)
![\frac{15}{20} x-2=\frac{8}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B20%7D%20x-2%3D%5Cfrac%7B8%7D%7B20%7D)
You can then multiply both sides by twenty to solve this equation.
Hope this helps.
1. Check the sketch of the problem.
2. In right triangle DCE,
![tan50= \frac{EC}{DC}= \frac{x}{50}](https://tex.z-dn.net/?f=tan50%3D%20%5Cfrac%7BEC%7D%7BDC%7D%3D%20%5Cfrac%7Bx%7D%7B50%7D%20%20)
tan 50 can be found to be 1.19 using a scientific calculator or other software.
![1.19=\frac{x}{50}](https://tex.z-dn.net/?f=1.19%3D%5Cfrac%7Bx%7D%7B50%7D)
x=1.19*50=59.5 (feet)
3. The height of the building is 59.5+5=64.5 (feet)
Answer: 64.5 (feet)