<h3>
Answer: height = 10 inches</h3>
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Explanation:
To get the area of a triangle, we multiply the base (b) by the height (h), then we divide by 2. That leads to the value of A.
So that explains the equation A = b x h/2 which is the same as A = b*h/2
We can multiply both sides by 2 to get 2A = b*h
This flips to b*h = 2A
If we divide both sides by b, then we get the formula
h = 2A/b
The variable h is isolated on its own side.
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Next, we'll plug in the given area of A = 60 square inches and the base of b = 12 inches.
This leads to a height of...
h = 2A/b
h = 2*60/12
h = 120/12
h = 10
The height must be 10 inches.
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Let's check the answer
So we are given the base of b = 12 and we just found the height to be h = 10.
The area of the triangle is...
Area = (base*height)/2
A = (b*h)/2
A = (12*10)/2
A = 120/2
A = 60
Since we get the proper area, this confirms we have the correct height.
Assuming the wire starts at x=0, the first point is (0,-4) since using y = 3x - 4 :
3(0) - 4 = -4
the two points are (0,4) and (-3,4)
since the y values are the same, the distance is the positive difference between the x values:
-3 - 0 = -3
then,
the distance is 3 meters
each meter costs $125, so multiply the cost by the amount of meters to find the total:
125 x 3 = 375
the total cost is $375
The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides square inches.
The total surface area of the prism square inches.
The surface area of the pentagonal prism is 648 square inches.
Slope = m = -1x length = |-3-2| = 5y length = |4-(-1)| = 5The other endpoint is to the left in this case.The end point (xn,yn) = (-3-5,4+5)=(-8,9)So (-8,9) is the other endpoint
Answer:
∠AOB and ∠COD are vertical angles
∠DOE and ∠COD are complementary, adjacent
∠AOB and ∠AOD are supplementary, adjacent.
Step-by-step explanation:
Let's start with ∠AOB and ∠COD.
Looking at this, we can see they are the same angles formed by two lines that intersected. These are vertical angles as they are opposite each other.
∠DOE and ∠COD together form the angle ∠EOC, which is a right angle. Complementary angles are any of two that add up to 90°, so these two angles are complementary. They are also adjacent because they are right next to each other.
∠AOB and ∠AOD together form the angle ∠BOD, which has a measure of 180°. Supplementary angles are any of two that add up to 180°, so ∠AOB and ∠AOD are supplementary. They are also adjacent as they are touching/right next to each other.
I hope this helped!