What is the area of a trapezoid with side lengths of 13,13,20,30 and a height of 12 cm
1 answer:
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The Volume of PYRAMID A is 8 times greater than the Volume of PYRAMID B as obtained by taking the ratio of the volume of both pyramids.
Volume of a square based pyramid is given as :
Where; h = height ; a = base edge
Hence, Volume of PYRAMID A :
Volume of PYRAMID B = 3,136 in³
Divide Volume of pyramid B by pyramid A :
= 8 times
Expressing as a percentage, multiply by 100% ;
8 * 100% = 800%
Therefore, The volume of PYRAMID B is 800% times GREATER THAN that of PYRAMID A.
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Answer:
18¾ ft × 15 ft
Step-by-step explanation:
The dimensions of the billboard are 25 ft by 15 ft.
The dimensions of the image are 5 ft by 4 ft
Case 1.<em> Expand the length of the image to 25 ft. </em>
We have multiplied the length by five, so we must multiply the width by five.
w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard
by 5 ft.
<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>
We have multiplied the width by 15/4, so we must multiply the length by 15/4.
l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.
The expanded image will be 18¾ ft × 15 ft.
In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.
The pink rectangle represents the dilation of the original image to a width of 15 ft.
Answer:
See explanation
Step-by-step explanation:
Consider triangles ABC and DEC. In these triangles,
- given
- given;
as vertical angles.
So,
by SAS postulate (two sides and angle between these sides of one triangle are congruent to two sides and angle between these sides of another triangle, so triangles are congruent).
Congruent triangles have congruent corresponding parts, hence,