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2 years ago

21 feet to 8 yards write a ratio as a fraction in simplest form without any units

Mathematics

1 answer:

Dmitriy789 [7]2 years ago

3 0

We know, 3 feet = 1 yard.

We have to convert feet to yards to calculate the ratio so that the final answer doesn't have any unit.

Therefore, 21 feet = $\frac{21 feet}{3 feet}yards$ = 7 yards

Thus, the ratio

$\frac{21feet}{8yards} =\frac{7yards}{8yards} =\frac{7}{8}$

The fraction $\frac{7}{8}$ is already in its simplest form.

Therefore, the given ratio as a fraction in the simplest form without any units is $\frac{7}{8}$

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Am I right or wrong (don't answer the last one!)

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Answer:

1) Distributive Property of Multiplication (The terms are distributed)

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Review: Angle Bisectors

zmey [24]

Answer:

m∠AOC = 15°

m∠BOC = 15°

Step-by-step explanation:

Given the angle ∠AOB

It is stated that CO is the angle bisector of ∠AOB.

Given that ∠AOB = 30°

As we know that the angle bisector bisects the angle into two equal angles.

Thus, the angle bisector CO bisects the angle ∠AOB into two equal angles, which are:

m∠AOC

m∠BOC

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2 years ago

Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is

Mamont248 [21]

Answer:

1)The rocket hit the ground at $x = \frac{5}{4}$

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

Step(i):-

Given equation

y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

$\frac{dy}{dx} = -2( 2x) +5(1) = -4x +5$

Equating zero

$\frac{dy}{dx} = 0$

⇒ -4 x +5 =0

⇒ -4 x = -5

⇒ $x = \frac{5}{4}$

The rocket hit the ground at $x = \frac{5}{4}$

Step(ii):-

$\frac{dy}{dx} = -4x +5$ ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

$\frac{d^{2} y}{dx^{2} } = - 4(1)$

The maximum height at x = $\frac{-5}{4}$

y = -2 x² + 5 x + 7

$y = -2 (\frac{5}{4})^{2} + 5 (\frac{5}{4} ) + 7$

$y = \frac{-2(25)+ 25 (16)+7(64)}{64}$

$y = \frac{798}{64} = 12.468 feet$

The maximum height of the rocket = 12.468 feet

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2 years ago

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soldier1979 [14.2K]

Answer:

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we are being told that each square is one unit. so, look at peak to peak and count the units.

1,2,3,4,5,6,7

From peak to peak is 7 units, so the period is 7

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1 year ago