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Galina-37 [17]
2 years ago
10

A dolphin swims 665,280 feet in 3 hours. Use the formula d = rt, where d represents distance, r represents rate, and t represent

s time, to answer the following questions. Show your work.
Part A: Rearrange the distance formula, d = rt, to solve for rate. (2 points)

Part B: Find the dolphin's rate in feet per hour. (3 points)

Part C: Find the dolphin's rate in miles per hour. (3 points)

Part D: Which unit, feet, or miles, makes more sense to use in this scenario, and why? (2 points)
Mathematics
1 answer:
klasskru [66]2 years ago
6 0

Answers:

  • A) r = d/t
  • B) 221,760 feet per hour
  • C) 42 miles per hour
  • D) Miles makes more sense

===========================================

Work Shown:

Part A

d = r*t

d/t = r*t/t ...... dividing both sides by t

d/t = r

r = d/t

---------------

Part B

Plug in the distance d = 665,280 feet and the time t = 3 hours

You should get the following

r = d/t

r = (665,280 feet)/(3 hours)

r = 221,760 feet per hour

---------------

Part C

Divide by 5280 to convert from feet to miles.

This works because 5280 feet = 1 mile

665,280 ft = (665,280)/(5280) = 126 miles

The dolphin can swim 126 miles in 3 hours

r = d/t

r = (126 miles)/(3 hours)

r = 42 miles per hour

---------------

Part D

From my viewpoint, miles makes more sense because we have a smaller number which is easier to remember.

126 is smaller than 665,280

Also, 42 is much smaller than 221,760.

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sweet-ann [11.9K]

Answer:

43.8°

Step-by-step explanation:

Applying,

Cosine rule,

From the diagram attached,

x² = y²+z²-2yxcos∅.................... Equation 1

where ∅ = ∠YXZ

Given: x = 8.7 m, y = 10.4 m, z = 12.4 m

Substitute these values  into equation 1

8.7² = 10.4²+12.4²-[2×10.4×12.4cos∅]

75.69 = (108.16+153.76)-(257.92cos∅)

75.69 = 261.92-257.92cos∅

collect like terms

257.92cos∅ = 261.92-75.69

257.92cos∅ = 186.23

Divide both sides by the coefficient of cos∅

cos∅ = 186.23/257.92

cos∅ = 0.722

Find the cos⁻¹ of both side.

∅ = cos⁻¹(0.7220)

∅ = 43.78°

∅ = 43.8°

6 0
3 years ago
372 picoseconds equal to how many femoseconds
Vlad1618 [11]

Answer:

372,000 femtoseconds

Step-by-step explanation:

<u>1 picoseconds = 1000 femtoseconds</u>

372 picoseconds = 1000 * 372 femtoseconds

1000 * 372

372,000

Answer:  372,000 femtoseconds

5 0
3 years ago
Lewis has a net spendable income of $2,000 per month. He sets up the following transportation budget for himself.
Yuliya22 [10]

What Lewis did wrong was that; He budgeted more than the maximum recommended amount of money for transportation.

<h3>How to budget effectively?</h3>

We are given;

Net spendable income = $2,000 per month

Now, we see how much he has budgeted for other items such as Car payments, Gas/Oil, Insurance, License/Registration, Taxes, Maintenance/Repair.

Now, from the recommended transportation budget of between 15% - 20% of the  net spendable income, we can see that he would likely spend more than that if we add the cost of maintenance and repair.

Thus, what Lewis did wrong was that he budgeted more than the maximum recommended amount of money for transportation.

Read more about Budget at; brainly.com/question/6663636

#SPJ1

7 0
2 years ago
What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?
makkiz [27]

Answer:

118°

Step-by-step explanation:

When two parallel lines are cut by a tranversal, then the exterior angles are supplimentary and the corresponding angles are congruent.

Therefore the angle above (15x - 17)° is also (5x + 17)° and the angle below (5x + 17)° is also (15x - 17)°.

Angles on a straight line adds up to 180°. So to know the measure of the larger angle we must both equations and equal it to 180° to find x in order to know the larger angle.

(5x + 17) + (15x - 17) = 180

5x + 15x + 17 - 17 = 180

20x = 180

20x/20 = 180/20

x = 9°

Nkw let's substitute x = 9 into the equations

5x + 17 =

5(9) + 17 =

= 62°

15x - 17 =

15(9) - 17 =

= 118°

Both equations should add up to be 180°.

Therefore the measure of the largest angle is 118°.

6 0
3 years ago
PLZ help ASAP!!! I will mark Brainliest!
GuDViN [60]

Answer:

C

Step-by-step explanation:

x=60

60

60+30=90

60-30=30

60+90+30=180

6 0
3 years ago
Read 2 more answers
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