Kendrick is trying to determine if a painting he wants to buy will fit in the space on his wall. If the rectangular frame's diag
onal is 50 inches and forms a 36.87° angle with the bottom of the frame, what is its height? Round your answer to the nearest inch.
2 answers:
Answer:
Height of the painting is 30 inches.
Step-by-step explanation:
If the rectangular frame of a painting is in the shape of ABCD.
Measure of frame's diagonal AC is 50 inches and it forms an angle of 36.87° angle with the bottom of the frame BC.
Now we have to determine the height of the painting.
Sin(36.87)° =
0.60 =
x = 50×0.6
x = 30 inches
Therefore, height of the painting is 30 inches.
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Well, the answer will depend on whether the order will count or not (based on Permutations and Combinations). <em>If the order counts</em>, then we would use the formula for Permutations, which is:
Where n is the number of items you have, and r is the number of times you choose from the items.
Which simplifies to
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
The variables are still the same, but you are now multiplying by r!.
Simplifies to
Which simplifies to (using the same cancellation method above)
Dividing 2730 by 3! will get us an answer of 455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.
:)
Where n is the number of items you have, and r is the number of times you choose from the items.
Which simplifies to
Which simplifies to 15*14*13 (because all the numbers 1-12 in the factorial canceled out), which gets us the answer 2730.
Now, if you wanted to find the number of ways to order the toys without replacement (<em>order doesn't count</em>), you would use the formula:
The variables are still the same, but you are now multiplying by r!.
Simplifies to
Which simplifies to (using the same cancellation method above)
Dividing 2730 by 3! will get us an answer of 455.
Really, it depends on whether they are ordered or not. In this case (since you didn't specify whether the order mattered), the answer would be 455 or 2730.
:)
Answer:
Y=9x-21
Step-by-step explanation:
