Answer:
(B) 3
Step-by-step explanation:
Remember that a parallel lines always have the same slope!
Answer:
Step-by-step explanation:
Height of the triangle = apothem = 9 inches
Base = 6 inches
![Area \ of \ triangle = \frac{1}{2}bh\\\\=\frac{1}{2}*6*9\\\\= 3*9\\\\= 27 \ in^{2}](https://tex.z-dn.net/?f=Area%20%5C%20of%20%5C%20triangle%20%3D%20%5Cfrac%7B1%7D%7B2%7Dbh%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D%2A6%2A9%5C%5C%5C%5C%3D%203%2A9%5C%5C%5C%5C%3D%2027%20%5C%20in%5E%7B2%7D)
Area of regular polygon = Area of 5 triangle.
= 5 * 27
= 135 square inches
Answer:
This is very late but but for helping other people in the future, the answer is 33. I took the test and it's correct. Here is a screenshot:
Answer: ![1536\ m^3](https://tex.z-dn.net/?f=1536%5C%20m%5E3)
Step-by-step explanation:
Given
Box A has a volume of ![24\ m^3](https://tex.z-dn.net/?f=24%5C%20m%5E3)
Box B is similar to box A such that box A dimension is multiplied by 4 to get the box B
So, each length is 4 times the box A and volume is the cube of the side.
Thus, the volume of box B is
the volume of box A
The volume of box B is
![=4\times 4\times 4\times 24\\=1536\ m^3](https://tex.z-dn.net/?f=%3D4%5Ctimes%204%5Ctimes%204%5Ctimes%2024%5C%5C%3D1536%5C%20m%5E3)
Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point (
) and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
![d=\frac{|Ax_1+By_1+C|}{\sqrt{A^2+B^2} }](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B%7CAx_1%2BBy_1%2BC%7C%7D%7B%5Csqrt%7BA%5E2%2BB%5E2%7D%20%7D)
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore ![x_1=-3,y_1=3](https://tex.z-dn.net/?f=x_1%3D-3%2Cy_1%3D3)
![d=\frac{|-1/4(-3)+(1*3)+(-8)|}{\sqrt{(-1/4)^2+1^2} }\\\\d=4.123\ unit\\\\but\ 1\ unit=100\ feet\\\\ d=4.123\ unit*1\ feet=412.3\ feet](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B%7C-1%2F4%28-3%29%2B%281%2A3%29%2B%28-8%29%7C%7D%7B%5Csqrt%7B%28-1%2F4%29%5E2%2B1%5E2%7D%20%7D%5C%5C%5C%5Cd%3D4.123%5C%20unit%5C%5C%5C%5Cbut%5C%201%5C%20unit%3D100%5C%20feet%5C%5C%5C%5C%20d%3D4.123%5C%20unit%2A1%5C%20feet%3D412.3%5C%20feet)