Which BEST approximates the area of the geometric figure?A 4 square units
B 7 square units
C 9 square units
D 11 square units
Answers
By decomposing the figure in simpler ones, we conclude that its area is 9 square units.
How to get the area of the figure?
Let's read the figure from the top.
First, we can see in the top two triangles that have an area of half a square unit, then adding these two we have one square unit.
Below that, there are 4 square units inside the figure.
On the left and right sides, there are triangles of base of 1 unit and height of 2 units, then each of these triangles has an area of:
a = 1*2/2 = 1 square unit
And we have 2 of these triangles, so the total area is 2 square units.
Finally, on the bottom we can see 4 triangles like in the top part, we know that each one of these measure 0.5 square units, then the 4 add up to 2 square units.
Adding all the areas above, we see that the total area is:
A = (1 + 4 + 2 + 2) square units = 9 square units.
So the correct option is C
If you want to learn more about area, you can read:
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Please help in Math!? What value of y makes the equation true? A.–28B.–21C.21D.28
What is 8 divided by 2 and 1/2? A. 20 B. 2 and 1/5 C. 40 D. 3 and 1/5
Answers
Answer:
8,000 in the 8% account
20,000 in the 9% account.
Step-by-step explanation:
x + y = 28000
0.08 x + 0.09 y = 2440
0.08 x + 0.09 (28000 − x) = 2440
0.08 x + 2520 − 0.09 x = 2440
80 = 0.01 x
x = 8000
y = 20000
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Answers
Hope This Helps :)))
Answers
Okay, this will be simple.
Notice that 2 1/2 is a mixed number. This needs to be changed to an IMPROPER FRACTION.
To do this, multiply the denominator by the whole number
2 x 2 = 4
Add numerator and keep denominator the same.
5/2.
Okay, so 5/2 x 1/10.
When multiplying fractions, no common denominator is needed. Just multiply the numerators and denominators.
5 x 1 = 5
2 x 10 = 20.
5/20 which reduces to 1/4. (5 is the GCF of 5 and 20, 5 divided by 5 = 1 and 20 divided by 5 = 4)
5/20 or 1/4 is your answer. (they mean the same thing)
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If two lines intersect, then there are two possibilities
A) The lines intersect at exactly one point. This happens if the slopes of the two lines are different (the y intercepts may or may not be the same).
B) The lines intersect at infinitely many points. This happens when both slopes are the same and when both y intercepts are the same. In short, the two equations are identical. Often they may be written in different forms. For example, the equation y = 2x+1 and 2y = 4x+2 are the same equation. Divide everything in equation (2) by 2 and you'll get equation (1).
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The formula for the area of triangles is lwh × 1/2.
Multiply the length by the width, height, and then by 1/2.
1.1 × 3.8 × 0.5 = 2.09
Since both triangles are equal, both triangles area will be the same, 2.09.
Now multiply the are by 2.
2.09 × 2 = 4.18
The area of the shaded areas equals 4.18in.