Answer:
h=7ft
Step-by-step explanation:
sinФ=opposite/hypotenuse
sin45°=5/h
0.71=5/h
multiply via by h
0.71h=(5/h)h
h cancel h it remains 5
0.71h=5
divide through by 0.71
0.71h/0.71=5/0.71
h=7.04ft
h=7ft approximately
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Answer:
20% decrease in value.
Step-by-step explanation:
Do 650,000 divided by 100 to find what 1% of the original price is:
650,000 divided by 100 = 6,500
To find what percentage of the original price 520,000 is, we divide it by 1% of the original cost (6,500):
520,000 divided by 6,500 = 80 (percent)
So if 520,000 is 80% of 650,000 the car has decreased in value by 20%.
Answer:
d. 16x² + y² = 16
Step-by-step explanation:
Standard form of an ellipse is:
x² / a² + y² / b² = 1
If b > a, the ellipse has a vertical orientation.
We can ignore options b and c, since they have minus signs in them.
Convert the other options to standard form:
a. x² / (1/16) + y² / (1/25) = 1
x² / (1/4)² + y² / (1/5)² = 1
1/4 > 1/5
d. x² + y² / 16 = 1
x² / 1² + y² / 4² = 1
1 < 4
e. x² / 16 + y² = 1
x² / 4² + y² / 1² = 1
4 > 1
Of these three options, only d is a vertical ellipse.
Step-by-step explanation:
1. $10.20/6 = 1.7 = the amount Michael receives for 1 pound of blueberries
2. We know that for 12 pounds he will receive $20.40 and if we do 1.7*4 for the remaining four pounds then do $20.40 + (1.7*4) = $27.20, D
