Answer:
The first one. 4 times square root of 3.
Step-by-step explanation:
The side of the equilateral triangle that represents the height of the triangle will have a length of because it will be opposite the 60o angle. To calculate the area of the triangle, multiply the base (one side of the equilateral triangle) and the height (the perpendicular bisector) and divide by two.
Answer:
large = 18 3/4 = 18.75
small = 13/2 = 6 1/2 = 6.5
Step-by-step explanation:
Let l = the weight of large boxes
s = weight of small boxes
2 large and 3 small weights 57
2l+3s = 57
6 large and 5 small wights 145
6l+5s = 145
Multiply the first equation by 3
3(2l+3s) = 57*3
6l +9s =171
Subtract the second equation
6l +9s =171
-6l -5s = -145
-----------------------
4s =26
Divide each side by 4
4s/4 = 26/4
s = 26/4 = 13/2
Substitute this into the first equation
2l +3s = 57
2l + 3(13/2) =57
Multiply by 2 to get rid of the fractions
2(2l + 3(13/2)) =57*2
4l + 39 = 114
Subtract 39 from each side
4l +39-39 = 114-39
4l =75
Divide by 4
4l/4 = 75/4
l = 75/4 = 18 3/4
Answer:
327
Step-by-step explanation:
Answer:
The area of triangle for the given coordinates is 1.5
Step-by-step explanation:
Given coordinates of triangles as
A = (0,0)
B = (3,4)
C = (3,2)
So, The measure of length AB = a = 
Or, a = 
Or, a = 
Or, a = 
∴ a = 5 unit
Similarly
The measure of length BC = b = 
Or, b = 
Or, a = 
Or, b = 
∴ b = 2 unit
And
So, The measure of length CA = c = 
Or, c = 
Or, c = 
Or, c = 
∴ c =
unit
Now, area of Triangle written as , from Heron's formula
A = 
and s = 
I.e s = 
Or. s = 
So, A = 
Or, A = 
Or, A =
× 
∴ Area of triangle = 1.5
Hence The area of triangle for the given coordinates is 1.5
Answer
Answer: 15 miles per gallon
Step-by-step explanation:
135 divided by 9