The seventh multiple of 9 is
1 answer:
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Answer:
See bolded below.
Step-by-step explanation:
Take a look at the attachment below. It represents circle x and y, with respect to each of their radii. In each of the options we are given, we would have to translate and dilate the circles, by a fixed scale factor -
Now the first thing one would do is translate the circles so that they share a common center point, or in other words the center of one circle rests on the edge of the other circle. That way when dilating circle y, it may fit into circle x as it expands.
The second point is how much this smaller circle ( circle y ) has to expand. The radius of circle y being 2, has to increase by 3 times the value to equal the radius of circle x, and hence has to dilate by a scale factor of 3 as to match circle x,
<u><em>Solution = " Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3 " / Option D</em></u>
Answer:
which grade u r in I'm in 10th grade and Indian
Hey there!
<h3>Question 1</h3>Let's use 3.14 for pi during this. It'll make it a lot easier.
The volume for a cone is .
The diameter of this cone is 17.6 inches. Since the radius is half the diameter, we can find the radius by dividing this amount by 2.
17.6 ÷ 2 = 8.8
The height of this cone is 23.4 inches.
Plug the values into the equation.
Next, square 6.8 and divide 23.4 by 3. Also, replace the pi symbol with 3.14.
Multiply the numbers together.
<u>The volume of this cone is approximately 1896.66 cubic inches.</u>
<h3>Question 2</h3>Finding the volume of a trapezoidal prism can be done by finding the are of the trapezoidal face and multiplying it by the depth.
Formula for finding the area of a trapezoid is
The two bases are 10 and 34, and the height is 24.7 feet. Put these values into the equation.
Add 10 and 34, then multiply it by 24.7 and 1/2.
a = 543.4
Multiply that value by 19, which is the depth of the figure.
<u>The volume of the prism is 10324.6 cubic feet.</u>
<h3>Question 3</h3>The formula for volume of a triangular pyramid is v = 1/3ah, with a the area of the base and h the height.
The formula for the area of an equilateral triangle, which is the base, is
The length of the side is 12, so we can square that to get 144.
Now multiply that by to get the area of the base.
The area of the base is about 62.35 square meters.
The height of the pyramid is 20 meters. Plug that and the area of the base into the equation.
v = 1/3 x 62.35 x 20
Multiply the numbers together to get the volume.
<u>The volume of the pyramid is approximately 415.67 cubic meters.</u>
Hope this helps!