If a secretary typed 10,800 words in 2 hours and 30 minutes, how many words per minute did she type? ( Hint: Change hours to min
1 answer:
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Answer:
Step-by-step explanation:
Let
L ----> the length of the rectangular garden in feet
w ---> the width of the rectangular garden in feet
step 1
Find the width
we know that
The perimeter of the rectangular garden is
so
Simplify
----> equation A
----> equation B
substitute equation B in equation A and solve for W
Find the value of L
step 2
Find the area
we know that
The area of the rectangular garden is
substitute the values
9514 1404 393
Answer:
(a) 42.3°
Step-by-step explanation:
Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050
A = arccos(777/1050) ≈ 42.3°
The measure of angle A is about 42.3°.
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<u><em>Additional comment</em></u>
The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.
