- The ratio of the heights of the pyramid given at the end of the answer is of: 1:3.
- The ratio of the surface areas of the pyramid given at the end of the answer is of: 1:9.
- The ratio of the volumes of the pyramid given at the end of the answer is of: 1:27.
<h3>How to obtain the ratios?</h3>
The first step in obtaining the ratios is finding the ratio of the heights, which is given as follows:
5:15 = 1:3.
The heights are measured in units, while the surface area is measured in units squared, hence the ratio is squared, as follows:
(1:3)² = 1:9.
The volume is measured in cubic units, hence the ratio is cubed, as follows:
(1:3)³ = 1:27.
<h3>Missing Information</h3>
The pyramid is given at the end of the answer.
For different dimensions, the procedure of taking the ratio of the heights, then the surface area is squared and the volume is cubed remains.
More can be learned about ratios of area and volume at brainly.com/question/15990299
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Answer:
All x≠nπ so D
Step-by-step explanation:
Answer:
PQ = 34.4
Step-by-step explanation:
First, we know that the angles in a triangle add up to 180 degrees. Therefore, angle M = 48 and angle R = 74
Next, because there is a corresponding angle in each triangle, they are similar. This means that the ratios between corresponding sides are the same. For example, the side opposite angle O (MN) over the side opposite angle R (PQ) is equal to the side opposite angle N (OM) over the side opposite angle Q (RP)
This can be written as MN/PQ = OM/RP. Note that both the numerators are on the same triangle, and MN and PQ correspond, as well as OM and RP.
We are given MN, NO, and QR. Because NO is opposite a 48 degree angle (angle M) as well as QR (angle P), we can say that NO/QR = another ratio of a pair of corresponding sides. Because we want to find PQ, and both PQ and MN are opposite 74 degree angles, we can say that
NO/QR = MN/PQ
Thus,
11/27 = 14/PQ
multiply both sides by PQ to remove a denominator
PQ * 11/27 = 14
multiply both sides by 27 to remove the other denominator
PQ * 11 = 14 * 27
divide both sides by 11 to isolate the PQ
PQ = 14 * 27 /11
PQ = 34.4
From the tables this would be 1 - 0.9773 = 0.0227 or 2.27%
The height of purse which is in trapezoid shape is 26 cm
<em><u>Solution:</u></em>
Clara has a purse in the shape of a trapezoid
<em><u>The area of trapezoid is given by formula:</u></em>
Where,
"h" is the height
"a" and "b" are the parallel sides length
From given,
Area = 754 cm
a = 22 cm
b = 36 cm
h = ?
<em><u>Substituting the values in formula,</u></em>
Thus height of purse which is in trapezoid shape is 26 cm
