1. statement- quadrilateral ABCD Reason- diagonal AEC
Answer: 89.7 ft
<u>Step-by-step explanation:</u>
Find the arc length (s) of the semi-circle. Then divide that length by 7.
s = r · θ where r is the radius and θ is the angle in radians
s = (400 ÷ 2) · π <em>(radius is diameter divided by 2)</em>
= 200π
= 628.3
The length of the arc is 628.3 ft. Divide that by 7 to find the distance between each home.
628.3 ÷ 7 = 89.7
Answer:
16.9 cm
Step-by-step explanation:
The volume of a prism = Area of base × height
For a rectangular prism, the base of the area = length × breadth
The volume of the liquid = 92 L
Since 1 L = 1000 cm³, 92 L = 92000 cm³
92000 = 85 × 64 × h
5440 h = 92000
h = 92000 ÷ 5440 = 16.9 cm
Answer:
B = 4
T = 2
Step-by-step explanation:
First, figure out the equation.
We know that bicycles have 2 wheels, that there are 3 on a tricycle, and there are a total of 14 wheels and a total of 6 bicycles and tricycles.
Let b stand for bicycles and t stand for tricycles:
14 = 2b + 3t
6 = b + t
We can figure out the amount of either by rearranging the second equation to isolate one variable. I will solve it in two ways
In the first way, I will solve for b
(-t) 6 = b + t (-t)
6 - t = b
Plug this into the first equation and solve for remaining variable
14 = 2(6 - t) +3t
14 = 12 - 2t + 3t
14 = 12 +t
-12 -12
2 = t
6 - 2 = b
b = 4
The second way was to solve for t first
(-b) 6 = b + t (-b)
6 - b = t
14 = 2b + 3(6 - b)
14 = 2b + 18 - 3b
(-18) 14 = 18 -b (-18)
-4/-1 = -b/-1
b = 4
6 - 4 = t
t = 2
It doesn't matter which way you go, they both give you the exact same answer.
Sooo, recap!
1) write equations
2) switch the easier of the two to isolate one variable
3) substitute to find other variable (x2)
4) Find answers! =D
Hope this helps!
Answer:
Whats the percentage of the VAT?
