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3 years ago

You run 18 laps in 9 minutes. Your friend runs 24 laps in 6 minutes. Are the rates equivalent?

1 answer:

4 0

No, they are not equivalent.

In order to find the rates, take the number of laps, in this case, 18, and divide by the time, in this case, 9 minutes. 18/9=2. So, you run 2 laps every minute.
For the other rate, your friend's, do the same. Take 24 and divide by 6. 24/6=4. So, your friend runs 4 laps every minute.

Your friend is faster, and the rates are not equivalent.

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Help math homework both questions

-Dominant- [34]

Answer:

Q-12 The vertical length of the top part of elevator to ground is 0.8484 meters .

Q -14 The glide runway path is 24,752.47 feet .

Step-by-step explanation:

Q - 12

Given as :

The diagonal length of the elevator = e = 1.2 meters

The vertical length of the top part of elevator to ground = x meters

The angle made by elevator with ground = Ф = 45°

<u>Now, According to figure</u>

Sin angle = $\dfrac{\textrm perpendicular}{\textrm hypotenuse}$

Or, Sin Ф = $\dfrac{\textrm x}{\textrm e}$

Or, Sin 45° = $\dfrac{\textrm x meters}{\textrm 1.2 meters}$

Or, 0.707 × 1.2 meters = x

∴ x = 0.8484 meters

So, The vertical length of the top part of elevator to ground = x = 0.8484 meters

Hence,The vertical length of the top part of elevator to ground is 0.8484 meters . Answer

Q-14

Given as:

The altitude of decent of plane = H = 10,000 feet

The angle of descend = Ф = 22°

Let the glide runway path = y feet

<u>Now, According to question</u>

Tan angle = $\dfrac{\textrm perpendicular}{\textrm base}$

Or, Tan Ф = $\dfrac{\textrm H}{\textrm y}$

Or, Tan 22° = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, 0.4040 = $\dfrac{\textrm 10,000 feet}{\textrm y feet}$

Or, y = $\dfrac{\textrm 10,000 feet}{\textrm 0.4040}$

∴ y = 24,752.47

So,The glide runway path = y = 24,752.47 feet

Hence, The glide runway path is 24,752.47 feet . Answer

6 0

3 years ago

The ratio of the length to the width of a rectangle is 5:4. The length of the rectangle is 60 inches. What is the width?

Firlakuza [10]

$\huge\boxed{\text{48 inches}}$

We know that $\frac{\text{length}}{\text{width}} = \frac{60}{\text{width}} = \frac{5}{4}$ .

Solve using cross multiplication of the last two fractions. I will use $w$ to represent the width of the rectangle. $60*4=w*5$

Multiply. $240=5w$

Divide both sides of the equation by $5$ . $\boxed{48}=w$

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4 years ago

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A team of rum runners is needed to run a 1/4 mile relay race if each runner must run 1/16 mile how many runners will be needed

mina [271]

You should multiply and than simplify

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3 years ago

What transformation maps the preimage (red) onto the image (blue)?

Dominik [7]

Answer:

Rotate counter clockwise about the center point 180 degrees

Step-by-step explanation:

You can use transformations to preserve shape and size but move a shape or change its position. Transformations include:

reflection - a flip across an axis
rotation - a turn around a point
translation - a slide a specific distance and direction

To map the red into the blue, you can rotate it counter clockwise about the center point which the red and blue shapes share 180 degrees. It will land exactly on the red.

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3 years ago

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Can someone answer this

Romashka [77]

Answer:

the answer is d

Step-by-step explanation:

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