What is 10 15/4 equivalent to

The length of a rectangle is three times its width. If the area of the rectangle is 192 ft^2, find its perimeter

Blababa [14]

Answer: 64 feet.

Explanation:
Perimeter formula: 2l + 2w
Area formula: l•w
Length = 3w
Area = 192 ft $^{2}$
192 = (3w) • w
192 = 3 $w^{2}$
192 ÷ 3 = 3 $w^{2}$ ÷ 3
64 = $w^{2}$
$\sqrt{64}$ = $\sqrt{ w^{2} }$
8 = w

Width = 8
Length = 3(8) = 24
Perimeter = 2(24) + 2(8) = 64 feet.

3 0

3 years ago

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What type of number is 1/2?

makkiz [27]

Answer:

1/2 is a rational number.

Step-by-step explanation:

Real numbers are numbers that can represent "distance" along a line. The set of real numbers has subsets that include natural numbers, whole numbers, integers, and rational numbers.

Natural numbers are counting numbers. A.K.A., they are numbers that you would start counting your fingers on (1, 2, 3, ...)

Whole numbers are just natural numbers and 0.

Integers are whole numbers and their opposite. (..., -3, -2, -1, 0, 1, 2, 3, ...)

Rational numbers are integers and numbers that can be put into a fraction of two integers. For example, 3/4 is a fraction of two natural numbers (3 and 4) who are also integers. Therefore, 3/4 is a rational number.

So, what number is 1/2?

It can't be a natural number because no one counts numbers as fractions unless they were made to.

It can't be a whole number because 1/2 is not whole. It is half of 1.

It can't be an integer because integers include whole numbers and their opposites, and 1/2 isn't even a whole number.

1/2 has to be an rational number because it is a fraction of two integers, 1 and 2.

8 0

3 years ago

Hi there,<br> I need help to solve the perimeter and the surface area of this shape.<br> Thanks!

leonid [27]

Answer: Perimeter = 6π ≈ 18.84

Area = 15π ≈ 47.10

<u>Step-by-step explanation:</u>

This is a composite of a big semicircle with diameter of 10 --> radius (r) = 5

plus a medium semicircle with diameter of 6 --> r = 3

minus a small semicircle with diameter of 4 --> r = 2

Perimeter of a semicircle = $\dfrac{1}{2}(2\pi r)=\pi r$

$P_{big}=\pi (5)\quad =5\pi\\P_{medium}=\pi (3)\quad =3\pi\\P_{small}=\pi (2)\quad =2\pi\\P_{composite} =5\pi+3\pi -2\pi\\.\qquad \qquad =\large\boxed{6\pi}$

Area of a semicircle = $\dfrac{1}{2}(\pi r^2)$

$A_{big}=\dfrac{1}{2}\pi (5)^2\quad =12.5\pi\\\\A_{medium}=\dfrac{1}{2}\pi (3)^2\quad =4.5\pi\\\\A_{small}=\dfrac{1}{2}\pi (2)^2\quad =2\pi\\\\A_{composite} =12.5\pi+4.5\pi -2\pi\\\\.\qquad \qquad =\large\boxed{15\pi}$

8 0

3 years ago

PLS HELP !!! I need this question done quick

NeX [460]

Answer:

a. 17 b. 51

Step-by-step explanation:

Follow Order of Operations (PEMDAS):

Parentheses, Exponents, Multiplication/Division, Addition/Subtraction

a. 9 + 4² - (4-2) • 4

9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)

9 + 4² - 2 • 4 ––– 4² (exponents)

9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)

9 + 16 - 8 ––– 9 + 16 (addition)

25 - 8 ––– 25 - 8 (subtraction)

17

b. 15 - 4 + 2(7-3) • 5

15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)

~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.

15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)

15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*

11 + 40 ––– 11 + 40 (addition)

51

5 0

3 years ago

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There are 630 dishes that need to be rinsed. Brian can rinse them in 105 minutes by himself. It will take his friend Pablo 70 mi

Sunny_sXe [5.5K]

I really don't know sorrrrrrryyyyyt

5 0

3 years ago

What is 10 15/4 equivalent to​

What is 10 15/4 equivalent to