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2 years ago

Compare 5/8 1/3 (A) = (B)> (C)< (D)none of the above

Mathematics

1 answer:

Sav [38]2 years ago

6 0

Answer:

5/8 > 1/3

so the answer is B >

Step-by-step explanation:

hope this helps

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You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

2 years ago

It takes a ant farm 3 days to comsume 1/2 of an apple.At that rate,in how many days will the ant farm consume 3 apples?

alexgriva [62]

Answer:

Step-by-step explanation:

In three days, the ant farm consumed 1/2 an apple. In 6 days the ant farm will consume 1 apple. We can multiply 6 days by 3 for three apples.

6(3)=18 days

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2 years ago

Write the equation of the line with x-intercept of 3 and y-intercept of -5, in point-slope form.

Bas_tet [7]

Y-0=5/3(x-3) that is it I think

5 0

2 years ago

For her parents' anniversary party, Sidney is considering using one of two venues. A hotel in Milford will cost $200 for a reser

zvonat [6]

I believe the answer would be 5

8 0

3 years ago

A 12-team soccer league has $7,260 to award as prize money. the team that finishes in last place will receive $220, and the priz

Anestetic [448]

Answer: $ 990

Step-by-step explanation:

Since, the total number players, n = 12,

The least amount got by one team, a= $ 220

Let there is a successive difference of d,

Thus, the given situation forms an AP,

In which sum of the AP, $S_n= \frac{12}{2}[2\times 220 + (12-1)d]$

But, According to the question,

$S_n = $ 7260$

⇒ $\frac{12}{2}[2\times 220 + (12-1)d]=7260$

$6[440 + (11)d]=7260$

$440 + 11 d=1210$

$11 d =770$

$d = 70$

Thus, the successive difference, d = $ 70

⇒ The amount of first price,

$a_{12} = 220 + (12-1)\times 70 = 220 + 770 = \$ 990$

6 0

2 years ago