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2 years ago

A rabbit travels 3/4 miles in 7/8 of an hour. whats the rabbits unit rate?

Mathematics

2 answers:

Mnenie [13.5K]2 years ago

5 0

Answer:

= 0.857143 miles per hour

Step-by-step explanation:

This the fractions 3/4 miles and 7/8 hours are equal to

0.75 miles and 0.875 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 0.875

0.75 miles ÷ 0.875

0.875 hours ÷ 0.875

0.857143 miles

1 hour

so the answer would be...

= 0.857143 miles per hour

Alla [95]2 years ago

4 0

The answer is: 0.857143 per hour

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For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc with a le

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<h3>The measurement of the central angle is 135 degrees</h3>

Solution:

The length of arc when angle given in degrees is given as:

$Arc\ length = \frac{ \theta }{360} \times 2 \pi r$

Where,

r is the radius

$\theta$ is the central angle in degrees

From given,

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Substituting the values we get,

$\frac{9 \pi }{2} = \frac{ \theta }{ 360} \times 2 \times \pi \times 6\\\\9 \times 360= \theta \times 24\\\\\theta = 135$

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3 years ago

What is the difference between a 30° angle and a -30° angle?

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Answer:

See below

Step-by-step explanation:

A 30° angle is measured 30° counterclockwise while a -30° angle is measured 30° clockwise. Therefore, you can say -30°=360-30°=330° because 30° is a reference angle located in Quadrant IV.

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Solve for y 16y^2-25=0

Pepsi [2]

Answer:

$\large\boxed{x=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

Step-by-step explanation:

$16y^2-25=0\\\\METHOD\ 1:\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\16=4^2\ \text{and}\ 25=5^2\ \text{therefore we have}\\\\4^2y^2-5^2=0\\\\(4y)^2-5^2=0\\\\(4y-5)(4y+5)+0\iff4y-5=0\ \vee\ 4y+5=0\\\\4y-5=0\qquad\text{add 5 to both sides}\\4y=5\qquad\text{divide both sides by 4}\\\boxed{y=\dfrac{5}{4}}\\\\4y+5=0\qquad\text{subtract 5 from both sides}\\4y=-5\qquad\text{divide both sides by 4}\\\boxed{x=-\dfrac{5}{4}}$

$METHOD\ 2:\\\\16y^2-25=0\qquad\text{add 25 to both sides}\\\\16y^2=25\qquad\text{divide both sides by 16}\\\\y^2=\dfrac{25}{16}\to y=\pm\sqrt{\dfrac{25}{26}}\\\\y=-\dfrac{\sqrt{25}}{\sqrt{16}}\ \vee\ x=\dfrac{\sqrt{25}}{\sqrt{16}}\\\\\boxed{y=-\dfrac{5}{4}\ \vee\ x=\dfrac{5}{4}}$

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3 years ago

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Jordan will hike a 10 mile trail at a rate of 2 mi/h. Write a linear equation to represent the distance of the trail that Jordan

Lesechka [4]

Answer:

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Step-by-step explanation:

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y = -2x +10

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3 years ago