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Likurg_2 [28]
3 years ago
11

Antoine works in a restaurant and he is paid his regular hourly rate of 40 hours a week and time and a half for all hours over 4

0 in that week. If the rate is $14/h and he works 47 hours calculate the total pay.
Mathematics
1 answer:
Inessa05 [86]3 years ago
6 0
560+ 147= 707

14(40)= 560
14+ 14(1/2)=21
21(7)= 147
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Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 deg
exis [7]

Answer:

(a). 2399.23 meters.

(b). 1944.19 meters apart.

Step-by-step explanation:

Please find the attachment.

We have been given that standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of depression, obtaining 9 degrees.

(a) We are asked to find how far from the shore is the ship.

We know that tangent relates opposite side of a right triangle with its adjacent side.

\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}

\text{tan}(9^{\circ})=\frac{380}{x}

x=\frac{380}{\text{tan}(9^{\circ})}

x=\frac{380}{0.158384440325}=2399.22557

Therefore, the ship is approximately 2399.23 meters away from the shore.

\text{tan}(5^{\circ})=\frac{380}{x+y}

x+y=\frac{380}{\text{tan}(5^{\circ})}

x+y=\frac{380}{0.087488663526}

2399.22557+y=4343.419875

y=4343.419875-2399.22557

y=1944.194305\approx 1944.19

Therefore, the both ships are approximately 1944.19 meters apart.

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The number of cups that are left in a half-gallon carton of orange juice after 3 cups are used is 5 cups.

To solve this question, we'll need to convert gallons to cups. This will be:

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In this case, we'll then subtract the number of cups that have been used from 8 cups. This will be:

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Therefore, the number of cups that are left after 3 cups are used is 5 cups.

Read related link on:

brainly.com/question/24783808

8 0
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