Step-by-step explanation:
it is a right-angled triangle, so the side lengths need to fulfill the Pythagoras rule :
c² = a² + b²
where c is the Hypotenuse, the baseline opposite of the 90 degree angle. and a and b (often called legs) are the sides "enclosing" the 90 degree angle.
so, we have
20² = a² + 12²
400 = a² + 144
a² = 256
a = 16
FYI - we could have picked the right answer also by eliminating the wrong given answer options.
as this is a right-angled triangle :
a cannot be longer than the baseline (20).
that eliminates already the first 2 options.
and then look at the picture : a cannot be shorter than b (the other side line (12)).
that eliminates the third option.
y = sin(360) = sin(0) = 0
answer: y=0
You can use the graph by drawing a unit circle centered about the origin. Then find the point and the corresponding y value.
The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
<h3>
What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
Learn more about the volume here:
brainly.com/question/16788902
#SPJ1
Answer:
12.56 units
Step-by-step explanation:
C=pid
C = 3.14(4)
C = 12.56
Answer:
£714.00
Step-by-step explanation:
The first step is to set up expresssions for the two shares:
Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!
The two shares are in the ratio of 2:3, so set up the proportion
Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.
Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.
So one share is £714£ and the other is £1785 - £714 = £1071.
The smaller share is £714.
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