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2 years ago

Plz help me to answer

Mathematics

1 answer:

mart [117]2 years ago

4 0

For the 20ft from doc. Set up triangle, with dr/dt on the hypotenuse = 2. 6 on the y, 20 on the x. Use x^2+ y^2= r^2. Differentiate and solve for dx/dt. 2x(dx/dt) + 2y(dy/dt)=2r(dr/dt); Since y value does not change, your y vector is equal to 0. Giving us 2x(dx/dt)=2r(dr/dt) ; dx/dt=(2r(dr/dt))/2x

Do the same thing for 10ft

No it is not surprising because as the angle between the dock and the boat decreases, more force is being used to pull up on the boat, not pull it inwards. Thus, the boats horizontal velocity will slow down as it beats the dock.

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Complete the sentence.<br> 90 is 1/10 of?

Blababa [14]

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4 years ago

(05.05 LC)

Setler [38]

The length of side PQ of the polygon is 7 units

Step-by-step explanation:

Given points are:

P(5, 4) and Q(−2, 4)

In order to find the length of PQ, the distance formula for coordinate geometry will be used.

The distance formula is given by:

$d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2$

Here

(x1,y1) = (5,4)

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$PQ = \sqrt{(-2-5)^2+(4-4)^2}\\=\sqrt{(-7)^2+(0)^2}\\= \sqrt{49}\\= 7\ units$

Hence,

The length of side PQ of the polygon is 7 units

Keywords: distance formula, coordinate geometry

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4 years ago

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exis [7]

Answer:

14.1 =x

Step-by-step explanation:

Since this is right triangle, we can use trig functions

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sin 42 = x /21

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Rounding to the nearest tenth

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3 years ago

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4 years ago

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The heights of twelve month old boys are normally distributed with a mean of 29.8 inches and a standard deviation of 1.2 inches.

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Answer:

About twenty-one percent of twelve month old boys are shorter than 28.8 inches.

Step-by-step explanation:

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 29.8, \sigma = 1.2$