A composite figure is shown what is the volume of the composite figure
Answers
So, we will start by just multiplying for volume of the entire whole prism, which would simply be length * width * height.
10 * 7 = 70
70 * 6 = 420
The volume of the entire figure, without the bit missing, is 420 cubic centimeters.
Now, we need to subtract the volume of the missing piece.
So we will take the volume of the smaller missing piece. We are given the length and width (3 and 6), but we don't know the height. We can find the height, though from the information given. We know that the height of the entire figure is 7, and that the distance from the bottom of the figure to the bottom of the chunk missing is 4, so we can just subtract to find the height of the missing figure.
7 - 4 = 3
And the height of the missing piece is 3.
So now, we can multiply:
3 * 6 = 18
18 * 3 = 54
The missing figure has a volume of 54 cubic centimeters.
Now, we can subtract.
420 - 54 = 366
The composite figure has a volume of 366 cubic centimeters.
Hope that helped! =)
For example, I'd break it down into two rectangles. One 7cm x 4cm x 6cm, and the other 6cm x 4cm x 6cm
Then, you simply find the volume of the two pieces, and add them together.
Volume = lenth x width x height
V = 7 x 4 x 6
V = 168 cubic cm.
V = 6 x 4 x 6
V = 144 cubic cm.
168 + 144 = 312 cubic cm.
The volume of the composite figure is 312 cubic centimeters.
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Answers
Answer
46.24
Explanation
n² = n × n
∴ (-6.8)² = (-6.8) × (-6.8)
= 46.24
The answer is positive since (-1)×(-1) = 1.
-6.8^2
You can do this with a calculator or pen and paper.
With a calculator;
-6.8 squared = 46.24 (Notice that the answer is positive!)
x=
Answers
The value of x is 7 cm, as it's a 45-45-90 triangle, also known as an isosceles right triangle, where sides opposite the 45° angles are equal in length.
In this case, we're dealing with a 45° angle, which is part of a 45-45-90 special triangle, often referred to as an isosceles right triangle.
We know that in a 45-45-90 triangle, the sides are in the ratio of 1:1:√2.
Knowing this, we can easily find the length of the unknown side (BC), which we dubbed as 'x'.
In a triangle with a 45° angle and hypotenuse of 7 cm (side AC), the length of the other side (BC) would be the same as the side adjacent to the 45° angle because it is an isosceles triangle.
Therefore, 'x' in this instance is also 7 cm.
Learn more about triangle here:
#SPJ2
A shortcut for a 45 45 90 right triangle is that the hypotenuse is √2 * short leg.
So you do 7 * √2
Which would equal to 7 √2 or 9.89949493661167
Answers
1. multiply 2 and 789
2. divide that number by 3
3. add 4.56
1578 / 3 + 4.56
526 + 4.56
530.56
Answers
A trapezoid is a quadrilateral containing at least one or two parallel sides. Since the other two sides of these figures were parallel, these fulfill not only the trapezoid requirements, as well as the trapezoid requirements.
- It is reflective thinking over the
rotation, reflection over the x-axis would enable the parallel edges to grow in value.
- It increases the trapezoid's size, 180° rotation will indeed leave the same trapezoid in the opposite situation, and a reflection over through the x-axis.
- It will indeed bring it below the trapezoid as a result, transformed trapezoid A'B'C'D' will absorb original trapezoid ABCD.
Therefore, the answer is "Last choice."
Learn more:
Answer:
D, reflection over the x‐axis (x + 6, y + 0), 180° rotation, reflection over the x‐axis
Step-by-step explanation:
Answers
Answer:
75/100x1/2
3/4x1/2
3/8