-31 - 4x = 5 - 5 ( 1 + 5x )
-31 - 4x = 5 - 5 - 25x
-31 - 4x = -25x
+ 31 to both sides
-4x = 6
/ -4 to both sides
x = 6/-4 = 3/-2
Answer:
The answer is:
32 inches
Step-by-step explanation:
The reason to why is because a triangle's area is always length times height divided by 2. In this case we need to reverse the steps and multiply 160 by 2 to get 320. Then divide the area of 320 by 10 to get 32 inches to be the base length.
Hope you have a wonderful day :)
Answer:
C(0,6)
Step-by-step explanation:
1) find the length of the base of the triangle
AB = 7-3 = 4
2) find the the height of the triangle
A = (base x height)/2
A x 2 = base x height
height = (A x 2)/base
height = (12 x 2)/4 = 6
3) find the equation of the line that passes threw the points AB
the two points have the same y so the equation of the line is
y = 0
4) use the formula of the distance between a point and a line to find C
|ax+by+c|/√a^2 + b^2 = distance
x = 0
y = 6
C (0,6)
Answer:
275 m^3
Step-by-step explanation:
The volume of a triangular pyramid is V=(1/3)Ah, where A is the area of the triangular base and h is the height.
First, let's find A, the area of the base. The area of a triangle is bh/2, where b is the base and h is the height.
In this question, 5 is the base and 15 is the height, so A=5*15/2=75/2.
Now we know A is 75/2, so let's go back to the formula for the volume of a pyramid. We are given h is 22, so
V=(1/3)(75/2)*22=275
Answer:
D) -9/4
Step-by-step explanation:
please refer to the picture I sent
