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4 years ago

Which of the following gives all of the sets that contain sqare root 9

Mathematics

1 answer:

Tems11 [23]4 years ago

6 0

Answer:

4. the set of all natural numbers, the set of all whole numbers, the set of all integers, the set of all rational numbers, and the set of all real numbers

Step-by-step explanation:

√9 = 3

3 is every kind of number <em>except irrational</em>. It belongs to the sets of ...

natural numbers
whole numbers
integers
rational numbers
real numbers

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3 years ago

Two nonadjacent angles formed by two intersecting lines are

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Two vertical angles are formed. These angles are also equal to each other.

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3 years ago

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

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$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

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4 years ago

For an activity in class, students used pieces of string to measure roads on a map. They used a map scale to determine the

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Answer:

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Step-by-step explanation:

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Using scale

The real-life distance to the nearest mile between Tampa and Orlando = $4 \times 22 = 88 miles$

Hence The real-life distance to the nearest mile between Tampa and Orlando is 88 miles

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3 years ago

Graph a line that contains the following point (-5, 3) and a slope of -6.

LenaWriter [7]

It -8 because if u do -5+-6+3 it =8

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2 years ago