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2 years ago

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Matthew drives 30 miles in 24 minutes. If he drove two hours in total at the same rate, how far did he go? Before you try that

problem, answer the question below. How many minutes did Matthew drive in total?

1 answer:

77julia77 [94]2 years ago

4 0

Answer:

Step-by-step explanation:

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What is the angle above the x axis (i.e., "north of east") for a vector with components (15 m, 8 m)?

never [62]

Answer:28.071

Step-by-step explanation:

Given

vector component is (15,8)

i.e. its x component is 15 from origin and y component is 8 m

So angle made by vector with x axis is

$tan\theta =\frac{8}{15}$

$\theta =tan^{-1}\frac{8}{15}$

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2 years ago

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A big cruise ship dropped anchor off the Caribbean island of Antigua. The heavy anchor dropped into the water at a rate of 2.5 m

4vir4ik [10]

Answer:

1) The anchor was released from 72.5 meters above the water's surface.

2)The anchor took 29 seconds to reach the water's surface

Step-by-step explanation:

The rate of drop of anchor = 2.5 meters per second

So, total depth covered by anchor after 45 seconds

= 2.5 meters x 45 seconds

= 112.5 meters

But after 45 minutes, the anchor was 40 meters deep.

So, extra distance traveled by anchor = Total distance covered by anchor - depth of water

= 112.5 meters - 40 meters = 72.5 meters

Hence, the anchor was released from 72.5 meters above the water's surface.

Now, speed of anchor = 2.5 m/sec

So, total time taken to cover extra 72. 5 meters = 72. 5 meters / 2.5 m/sec

= 29 seconds

Hence, the anchor took 29 seconds to reach the water's surface.

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2 years ago

Henry works at a warehouse where he earns $23.56 per hour. How much money will Henry earn after working for 37 hours and 42 minu

Burka [1]

Answer:

$888.21

Step-by-step explanation:

We'll break this problem into two chunks.

First, find the number of dollars Henry gets after working for 37 hours. Since he gets paid $23.56 per hour, all you do is multiply how many hours he's worked (37) by the rate he gets paid (23.56) which gets you $871.72.

Second, adding 42 minutes onto the 37 hours. Since there are 60 minutes in one hour, all you have to do is divide 42 minutes by 60 minutes to get how much of 42 minutes is 1 hour, which is 0.7. Multiply 0.7 by 23.56 (the rate he gets paid per hour) and you have $16.49.

Adding the two sums gets you 888.21 dollars in total.

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2 years ago

The gas tank of the truck holds 30 gallons the gas tank of a passenger car holds 50% less how many gallons does it hold?

love history [14]

Answer:

15 gallons

Step-by-step explanation:

To find how much the passenger car holds, we need to first find what 50% of the trucks gas tank holds.

Truck Gas Tank = 30 gallons

Now we find how much 50% of 30 is:

50% = 0.50

Total = 30 x 0.50

Total = 15 Gallons

So the passenger car holds 15 gallons of gas.

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2 years ago

Thurston wants to retire in Nevada when he is 80 years of age. Thurston, who is now 55, believes he'll need $400,000 to retire c

iragen [17]

Love to help but can't I'm dumb

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2 years ago