Answer:
The answer is 135 in 3.
Step-by-step explanation:
To find the volume of a square pyramid, first you need to find the base and height. In this case,
a = 9
h = 5
Now we use the formula (1/3 a^2 h) To find the volume.
I will use )( To show numbers being multiplied, example: 3)(4 = 12
=1/3)(9 cm^2)(5 cm
=1/3)(81 cm)( 5 cm
= 135 in. 3
Answer:
6.25
Step-by-step explanation:
c
Answer:
$6
Step-by-step explanation:
48÷8=6
keep the questions coming
Statements
1. ASTU with ST || XY
Reasons
1. given
2. def. of corresponding
angles
2. 21 and 22 are
corresponding angles
3. 23 and 24 are
corresponding angles
4. 21 - 22; 23 24
3. def. of corresponding
angles
4. corresponding angles
theorem
5.
5. AA similarity theorem
Complete the steps of the proof.
6. def. of similar triangles
6. U = Tu
7. SU = SX + XU:
TU = TY + YU
8. SXEUXU – TYHYU
7. segment addition
postulate
8. substitution property
X
XII
TY
VII
The correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.
Two triangles are said to be similar if their corresponding sides are equal and if the ratio of the sides are in equal ratios.
The proof is as follows :-
The given steps are;
1. Δ STU with ST || XY, 1. Given
2. ∠1 and ∠2 are corresponding angles, 2. Def of corresponding angles
3. ∠3 and ∠4 are corresponding angles, 3. Def of corresponding angles
4. ∠1 ≅ ∠2; ∠3 ≅ ∠4, 4. Corresponding angles theorem
5. Δ UXY ~ Δ UST 5. AA similarity theorem
6. SU/XU = TU/YU 6. Def of similar triangles
7. SU = SX + XU, TU = TY + YU, 7. Segment addition postulate
8. (SX + XU)/(XU) = (TY + YU)/(YU) 8. Substitution property
9. SX/XU + 1 = TY/YU+1 9. simplification
10. SX/XU = TY/YU 10. subtraction property of equality.
Hence, the correct missing proof are Δ UXY ~ Δ UST and subtraction property of equality.
Learn more about similar triangles, click;
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Answer: Here is the answer
Step-by-step explanation:
Using translation concepts, considering S(2,-1), the x-coordinate of S' is given by 6.
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the rule is given by:
(x, y) -> (x+4, y-2).
Considering S(2,-1), 4 is added to the x-coordinate in the translation, hence:
2 + 4 = 6.
The x-coordinate of S' is given by 6.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the required data to answer the question are missing.
However, the interpretation of the question is to determine the interquartile range (IQR) of a certain dataset.
Then get the difference between the calculated IQR & Joe's data and also the difference between the calculated IQR & Sam's data
Then, make comparison
To do this, I will use the following assumed datasets.
IQR is calculated as:
is of the upper half
is of the lower half
For Joe, we have:
The median is then calculated as:
For, the lower half:
So:
For the upper half:
So:
When the same process is applied to Sam's data,
Assume that:
Hence, the IQR is 47 points less for Joe's data than Sam's
Answer:
32.45%
Step-by-step explanation:
To find the buying price as a percent of the selling price, we need to calculate the profit margin as a decimal first:
Profit margin = Selling price - Buying price
Profit margin = $59.95 - $40.50
Profit margin = $19.45
Now we can find the percent by dividing the profit margin by the selling price and multiplying by 100:
Percent = (Profit margin ÷ Selling price) x 100
Percent = ($19.45 / $59.95) x 100
Percent = 32.45%
Therefore, the buying price is 32.45% of the selling price.