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Tamiku [17]
3 years ago
15

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'=3ft

Hence, the height of fire hydrant=3 ft

3 0
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
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2 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.

-----------------------------------------------------------------------------------------------------------

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

----------------------------------------------------------------------------------------------------------

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.

-----------------------------------------------------------------------------------------------------------

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.

----------------------------------------------------------------------------------------------------------

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.

----------------------------------------------------------------------------------------------------------

Rational because the decimal terminates:

6/15 = 0.4/0.40...

4 0
2 years ago
Read 2 more answers
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