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3 years ago

What is the first step in the construction of a perpendicular line from point p to line m

Mathematics

1 answer:

JulijaS [17]3 years ago

3 0

Step-by-step explanation:

Look at the pictures.

1. From point P, we draw an arc crossing the line m at two points.

2. From points F and G, we draw intersecting arcs with the same radius.

3. Through P and L, we draw a line perpendicular to the m line.

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A landing pad for a helicopter is in the shape of a circle with a radius of 7 meters. Which of the following is closest to the a

ANTONII [103]

Answer:

The approximate value of the area is $153.86\ m^{2}$

Step-by-step explanation:

we know that

The area of the circle (landing pad) is equal to

$A=\pi r^{2}$

we have

$r=7\ m$

substitute

$A=\pi (7)^{2}$

$A=49\pi\ m^{2}$ ----> exact value of the area

Find the approximate value

assume $\pi=3.14$

$A=49(3.14)=153.86\ m^{2}$ ------> approximate value of the area

5 0

2 years ago

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A lamp post with a height of 12 ft casts a shadow of 6 ft. A fire hydrant near it casts a shadow that is 1.5 ft long. How tall i

alex41 [277]

Answer:

3ft

Step-by-step explanation:

We are given that

Height of lamp, h=12ft

Height of shadow, l=6ft

Height of shadow of hydrant, l'=1.5ft

Let height of hydrant=h'

We have to find the height of fire hydrant.

All right triangles are similar

When two triangles are similar then, the ratio of their corresponding sides are equal.

Using the property

$\frac{h}{h'}=\frac{l}{l'}$

$\frac{12}{h'}=\frac{6}{1.5}$

$h'=\frac{12\times 1.5}{6}$

$h'=3$ ft

Hence, the height of fire hydrant=3 ft

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3 years ago

Which graph shows the correct solution to the linear-quadratic system of inequalities below?

LUCKY_DIMON [66]

Answer:

(the pic)

Step-by-step explanation:

I used a link

8 0

3 years ago

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Will reward points!!! Someone please help me!!

Olenka [21]

The question is just a black box. I would like to help you if you could attach a pic of the problem
You want solved

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3 years ago

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Classify the numbers as rational or irrational

Morgarella [4.7K]

Answer:

$-\sqrt{13}$ = Irrational

43.95 (repeat sign) = Rational

-3π = Irrational

-√49 = Rational

6/15 = Rational

Step-by-step explanation:

Note:

A rational number can be defined as any number that can be expressed or written in the p/q form, where 'p' and 'q' are integers and q is a non-zero number. An irrational number on the other hand cannot be expressed in p/q form and the decimal expansion of an irrational number is non-repeating and non-terminating.

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The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

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43.95 ⇒ With repeat sign over 43.95

The decimal places repeat an infinite amount of times and when a decimal repeats it's rational.

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Pi is a Greek letter (π), and one of the most well-known mathematical constants.

It is the ratio of a circle's circumference to its diameter which is always constant.

pi (π) approximately equals 3.14159265359... and is a non-terminating non-repeating decimal number.

Hence 'pi' is an irrational number.

Any number with pi is considered irrational.

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The square root of a negative number is imaginary.

Natural Number Test

A number is natural if it is one of the counting numbers (greater than 0), i.e., 1,2,3,4,5,...

Since NAN is not both positive and a counting number, NAN is not a natural number

Whole Number Test:

Whole Numbers are positive numbers, including 0, with no decimal or fractional parts

Since NAN is not both ≥ 0 and an integer, NAN is a not a whole number

Integer Test

The number is an integer if it is a whole number (no fractions or decimals) positive or negative including the number 0, ...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...

Since NAN is not a positive or negative number (no decimals or fractions), NAN is not an integer

Rational Number Test

The number NAN is rational if it is an integer or decimal

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0.

Irrational Number Test:

An irrational number is a number that cannot be expressed as a ratio between two integers and is not an imaginary number.

Since NAN is the square root of a negative number, it is imaginary

Imaginary Numbers are not rational

Imaginary

But is rational as it equals -7.

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Rational because the decimal terminates:

6/15 = 0.4/0.40...

4 0

2 years ago

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