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3 years ago

List the sets that -6 belongs to: whole numbers, integers, rational numbers, irrational numbers, and real numbers.

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

8 0

Answer:

Whole Number : 6

Integers: -6 and 6

Rational Number: -6.0 and -6/1

Irrational Number: -Infinity or -0

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Which of the following is equal to 7 1/4? Show work. Please help.

fomenos

d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7

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Mario ran 24 miles in 3 hours. what was his average speed in miles per hour

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Answer:

8 miles per hour (mph)

Step-by-step explanation:

24/3 = 8

Check:

8mph x 3 hours = 24 miles

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Carrie is 36 years old. She has worked in the same store for 12 years. Today, she had 63 customers. How old was Carrie when she

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Answer:

A. 24

Step-by-step explanation:

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2 years ago

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Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.

dmitriy555 [2]

see the attached figure to better understand the problem

we have that

$cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units$

Step 1

Find the value of AC

we know that

in the right triangle ABC

$cos (A)=(AC/AB)\\AC=AB*cos(A)$

substitute the values in the formula

$AC=12*(1/5)\\ AC=2.4\ units$

Step 2

Find the value of BC

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

$AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}$

substitute the values

$BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units$

Step 3

Find the value of BD

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

$BD^{2} =DC^{2}+BC^{2}$

substitute the values

$BD^{2} =2^{2}+11.76^{2}$

$BD=11.93\ units$

therefore

the answer is

the length of BD is 11.93 units

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3 years ago

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a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around th

Anon25 [30]

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

4a = 60ft

divide both sides by

4a = 60/4

a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

4*a + 4(a + 2*3)

Replace a with 15 to get:

= 4*15 + 4(15 + 6) 60 + 4(21) 60+84

= 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

= 144*1.15

= $165.6

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