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Sliva [168]
2 years ago
10

3. Penguins can swim at speeds of up to 29 feet per second. Use dimensional analysis to

Mathematics
1 answer:
mestny [16]2 years ago
5 0

Answer:

Penguins can swim at a speed of 19.77 miles per hour.

Step-by-step explanation:

Since penguins can swim at speeds of up to 29 feet per second, to convert this speed to miles per hour, knowing that 1 mile is equal to 5280 feet, the following calculation must be performed:

1 hour = 60 minutes

1 minute = 60 seconds

1 hour = 60x60 seconds = 3,600 seconds

29 x 3,600 = feet per hour = 104,400

104,400 / 5,280 = miles per hour = 19.77

Thus, penguins can swim at a speed of 19.77 miles per hour.

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If a series of rigid transformation maps ∠F onto ∠C where ∠F is congruent to ∠C, then which of the following statements is true?
pochemuha

Answer:

BC ~ DE because of similar transformation

Step-by-step explanation:

ABC and DEF are not similar transformations the second one is wrong, the third one is wrong because. The last one ios right because by deduction it is.

6 0
2 years ago
Read 2 more answers
A bike rental company charges a fee per hour. The charge, in dollars, is the same each hour. The ordered pairs (3, 13.50) and (5
olchik [2.2K]

If the function is y = 4.5x. Then the rate of change of the function expressed as a unit rate will be 4.5.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A bike rental company charges a fee per hour.

The charge, in dollars, is the same each hour.

The ordered pairs (3, 13.50) and (5, 22.50) represent the corresponding hours, x, and cost, y.

Then the linear equation is given as

\begin{aligned} \rm  y - 22.5 &= \rm \dfrac{22.5 - 13.5}{5 - 3} (x-  5)\\\\\rm y - 22.5 &= \rm 4.5x - 22.5\\\\\rm y &= \rm 4.5x \end

Then the rate of change of the function expressed as a unit rate will be

\rm \dfrac{dy}{dx}  = \dfrac{d}{dx} (4.5x )\\\\\dfrac{dy}{dx}  = 4.5

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

7 0
2 years ago
Find the area of the trapezoid below in square centimeters (cm). The area of the trapezoid is
BARSIC [14]

Answer:

122.5

Step-by-step explanation:

Use the area formula for a trapezoid (attached below as an image):

A = area in sq cm

a = top base

b = bottom base

h = height

Correspond the correct values with the variables:

a = 14

b = 21

h = 7

A = 1/2 * (14 + 21) * 7

A = 1/2*(35)*7

A = 17.5 * 7

A = 122.5 sq cm

Hope this helps (●'◡'●)

6 0
2 years ago
Somebody please help me
Elan Coil [88]
4x=6x-14

First isolate the variables onto one side and the numbers on the other so subtract 4x from both sides of the equation and add 14 to both sides of the equation to get 14=2x then you are going to want to completely isolate the variable so you divide 2 on both sides to get an answer of X=7
4 0
3 years ago
Simplify 2x + 5 +6x +3
bija089 [108]

Answer:

8x+8?

Step-by-step explanation:

2x+6x=8x

5+3=8

6 0
2 years ago
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