1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
densk [106]
3 years ago
9

A deep sea diving bell is being lowered at a constant rate. After 10 ​minutes, the bell is at a depth of 600 ft. After 40 minute

s the bell is at a depth of 1 comma 700 ft. What is the average rate of lowering per​ minute? Round to the nearest hundredth.
Mathematics
1 answer:
Degger [83]3 years ago
7 0
<h2>Average rate of lowering per​ minute = 36.67 ft/min</h2>

Step-by-step explanation:

After 10 ​minutes, the bell is at a depth of 600 ft

After 10 minutes

                   Depth of bell = 600 ft

After 40 minutes the bell is at a depth of 1,700 ft.

After 40 minutes

                   Depth of bell = 1700 ft

Time gap = 40 - 10 = 30 minutes

Depth fallen = 1700 - 600 = 1100 ft

We have

           Depth fallen = Average rate of lowering per​ minute x Time gap

           1100 = Average rate of lowering per​ minute x 30

           Average rate of lowering per​ minute = 36.67 ft/min

You might be interested in
The perimeter of a rhombus is 180 cm and one of its diagonals is 72 cm. Find the length of the other diagonal and area of the rh
rewona [7]

Hi there! :)

<u>Answer:</u>

Length of the second diagonal: 54 cm

Area of the rhombus: 1,944 cm²


Step-by-step explanation:

1) To find the value of the second diagonal, you first need to know some important properties of rhombuses:

Since the perimeter is 180, and by definition a rhombus has four congruent sides (of equal length), each side length of the rhombus is equal to 45.

The diagonals of rhombuses also form four right triangles, with hypotenuses equal to the side length of the rhombus and legs equal to half the lengths of the diagonals. In this case one hypotenuse would be equal to 45 and one leg would be equal to 36 (72 ÷ 2 = 36).

We can therefore use the Pythagorean Theorem to solve for one-half of the unknown diagonal:

c² = a² + b² → Where "c" is the hypotenus & "a" and "b" are the two other sides.

<u>45² = 36² + b²</u> → Where "b" is the half of the unknown diagonal.

We can now solve this equation for "b":

<u>45²</u> = <u>36²</u> + b²

45² = <u>2,025</u>

36² = <u>1,296</u>

2,025 = <u>1,296</u> + b²

Subtract "1,296" from each side of the equation → 2,025 - 1,296 = <u>729</u>

729 = b<u>²</u>

Square root on each side of the equation → √729 = <u>27</u>

<u>27 = b</u>

Since "b" represents half of the unknown diagonal, we need to multiply by 2 to find the full length of the diagonal:

27 × 2 = <u>54 ⇒ Length of the other diagonal.</u>


2) To find the area of the rhombus, you need to multiply the length of the 2 diagonals and divide the answer by 2:

<u>(72 × 54)</u> ÷ 2 = A

Multiply "72" & "54" together → 72 × 54 = <u>3,888</u>

<u>3,888 ÷ 2</u> = A

<u>1,944 = A</u>


There you go! I really hope this helped, if there's anything just let me know! :)

3 0
3 years ago
You are standing 6 feet away from the stage and your friend is standing 7 feet away from the stage. You are standing on a platfo
coldgirl [10]

Answer:

<em> The distance from your eyes to the stage is 8.85 ft</em>

Step-by-step explanation:

Your distance to the stage is 6 feet

Your eyes are 6.5 feet tall

You need to find the distance of your eyes towards the stage.

This situation can be modeled using a rectangle triangle, where the adjacent side x is the horizontal distance to the stage and the opposite side h is the vertical distance of your eyes to the stage.

<u>Observe the attached image.</u>

Then, we look for the distance z from your eyes to the stage. This distance is the hypotenuse of the right triangle.

So, using the Pythagorean theorem we have:

z ^ 2 = h ^ 2 + x ^ 2\\\\z = \sqrt{h^2 +x^2}

Where

h = 6.5\ ft\\\\x = 6\ ft

therefore:

z = \sqrt{(6.5)^2 +(6)^2}\\\\z =8.85\ ft

4 0
3 years ago
Mitch ordered several baseball hats for 12.65 each and paid $3.99 for shipping. If Mitch spent a total of $130.49, how many base
jek_recluse [69]

Answer:

10

Step-by-step explanation:

Price of baseball hats without shipping = $130.49 - $3.99 = $126.50

Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10

5 0
3 years ago
Enter an equation in point-slope form for the line.<br> Slope is O and (6, 7) is on the line.
Crank

Answer:

\displaystyle y = 7

Step-by-step explanation:

Since the <em>rate</em><em> </em><em>of change</em><em> </em>[<em>slope</em>] is zero, that automatically makes our equation set equal to the y-coordinate of the ordered pair, which in this case is the y-intercept.

I am joyous to assist you anytime.

5 0
3 years ago
Please answer all I need help easy
Leokris [45]
The answer k is n divided by 6
8 0
3 years ago
Read 2 more answers
Other questions:
  • Michael puts 3 beads next to each other on a pice of string to make a bracelet. Each bead has a width of 5/6 inch. Which express
    8·1 answer
  • The number of water bottles used during a teams football practice varies directly with the temperature. If a team uses 75 water
    7·1 answer
  • 13.5 is 15% of what number?
    8·2 answers
  • What is the answer to 7-4+3×0+1
    10·2 answers
  • Justin bought 6 ribbons for an art project. Each ribbon is 1/4 yard long. How many yards of ribbon did Justin buy?
    9·2 answers
  • The cost depends upon the number of long distance minutes, m, Amy uses. Write the rule that describes Amy's monthly cost.
    8·1 answer
  • what quadrilateral has exactly two pairs of consecutive angles that are supplementary and none of the opposite angles are congru
    8·1 answer
  • Find an equation of the line, in point-slope form, that passes
    10·1 answer
  • Jada has 60% of her goal of $70 saved for her trip.
    14·2 answers
  • What is the number between 80 and 90 that has seven as a factor
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!