1/2 as an epuivalent fraction,decimal or percent

Answer:

B. 226.08 sq in

Step-by-step explanation:

Given data

r= 3 in

h= 9in

The expression for the surface area of a cylinder is

A=2πrh+2πr^2

Substitute

A= 2*3.142*3*9+ 2*3.142*3^2

A= 169.668+ 2*3.142*9

A= 169.668+ 56.556

A=226.224 sq in

Answer: 1/50 or 0.02

Step-by-step explanation:

30 / 1500 = 1/50

1/50 or 0.02

Answer:

D

Step-by-step explanation:

5 1/2= 5 2/4

5 2/4 - 1 3/4 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

5 1/2 - 1 3/4

5 2/4 - 1 3/4

22/4 - 7/4

15/4

3 3/4

Answer:

Pyramid formula: V= LWH/3

224

Step-by-step explanation:

Answer:

336

Step-by-step explanation:

The figure shown is a triangular prism

The volume of a triangular prism can be calculated by using this formula

[tex]V=ah[/tex]

where a = area of base and h = height

we are already given the height ( 8 ft ) so all we need to find is the area of the base

Because this is triangular prism the base will be a triangle

The area of a triangle can be calculated using this formula

[tex]A=\frac{bh}{2}[/tex] where b = base length and h = height

The base length of this particular triangular prism is 12 ft and the height of the base is 7 ft

That being said we plug in the values into the formula

[tex]A=\frac{12*7}{2} \\12*7=84\\\frac{84}{2} =42[/tex]

So we can conclude that the area of the base is 42 ft²

Now to find the volume

Using the formula V = ah

* plug in the values *

V = 42 * 8

42 * 8 = 336

Therefore the volume of the triangular prism is 336ft³

9514 1404 393

Answer:

  area = 2w² -6w

Step-by-step explanation:

For width w, the length is ...

  L = 2w -6

and the area is ...

  A = LW = (2w -6)(w) = 2w² -6w . . . area of the rectangle

Answer

66.5%

Step-by-step explanation:

The markup percent is 66.7%

The first step is to calculate the unit cost

= Cost of the shirt/quantity of shirt

= 600/100

= 66

The percent mark up can be calculated as follows

= 100 × (new price-old price/old price)

= 100 × (10-6)/6

= 100 × 4/6

= 100 × 0.666

= 66.7

Hence the markup percent is 66.7%

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Answer:

[tex](x-4)^2+(y-7)^2=125[/tex]

Step-by-step explanation:

1) Find the radius

To find the radius of the circle, use the distance formula for the points (4,7) and (-7,9)

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where the two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the points (4,7) and (-7,9)

[tex]d=\sqrt{(-7-4)^2+(9-7)^2}\\d=\sqrt{(-11)^2+(2)^2}\\d=\sqrt{121+4}\\d=\sqrt{125}[/tex]

Therefore, the radius of the circle is [tex]\sqrt{125}[/tex] units.

2) Plug all data into the circle equation

Equation of a circle (not centred at the origin):

[tex](x-h)^2+(y-k)^2=r^2[/tex] where the centre is [tex](h,k)[/tex]

Plug in the point (4,7) as (h,k)

[tex](x-4)^2+(y-7)^2=r^2[/tex]

Plug in the radius [tex]\sqrt{125}[/tex]

[tex](x-4)^2+(y-7)^2=(\sqrt{125}) ^2\\(x-4)^2+(y-7)^2=125[/tex]

I hope this helps!

Answer:

Can't be Solved

Step-by-step explanation:

tan x = opp/adj

tan x = 23/11

tan x = 2.09090909 which is about

tan x = 2.09

x = 64.4 degrees which is the tangent of 2.09 in degrees.

x = 64.4 degrees

This is the only way to solve, since no answer is equivalent it can't be solved.

Answer:

I will show all the steps to lead to the solution.

1) 10b = 5 (√c + 2)  <---- starting equation

2) divide by 5 => 2 b = √c + 2

3) subtract 2 => 2b - 2 = √c

4) raise to the power 2 => (2b - 2)^2 = c, which is the expression given.

Now these are two equivalent forms:

1) extract 2 from the parentheses: c = 4 (b -1)^2

2) expand the parentheses: c = 4b^2 - 8b + 4)

Step-by-step explanation:

Choice D

An equivalent equation to find c is [tex]4 (b-1)^{2}[/tex]

Here, given that

When 10 b = 5 ([tex]\sqrt{c}[/tex] + 2) is solved for c, one equation is c = (2b minus 2) squared.

What is equivalent equation?

Equivalent equations are algebraic equations that have identical solutions or roots.

Now,

For finding the solution, all steps are

⇒[tex]10 b = 5 (\sqrt{c} + 2)[/tex]

Divide both side by 5;

⇒[tex]2b = \sqrt{c} + 2[/tex]

subtract 2 from both sides,

⇒ [tex]2b - 2 = \sqrt{c}[/tex]

⇒ [tex](2b - 2)^2 = c[/tex]

⇒[tex]4 ( b-1 )^2 = c[/tex]

So, An equivalent equation to find c is [tex]4 (b-1)^{2}[/tex]

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Answer:

The percentage rate of decay per year is of 5.19%.

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the amount of a substance is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

Every 13 years, its mass decreases by half.

This means that [tex]A(13) = 0.5A(0)[/tex]. We use this to find r. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]0.5A(0) = A(0)(1-r)^{13}[/tex]

[tex](1-r)^{13} = 0.5[/tex]

[tex]\sqrt[13]{(1-r)^{13}} = \sqrt[13]{0.5}[/tex]

[tex]1 - r = (0.5)^\frac{1}{13}[/tex]

[tex]1 - r = 0.9481[/tex]

[tex]r = 1 - 0.9481[/tex]

[tex]r = 0.0519[/tex]

The percentage rate of decay per year is of 5.19%.

The initial mass of a sample of Element X is 520 grams

This means that [tex]A(0) = 520[/tex]. So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 520(1-0.0519)^t[/tex]

[tex]A(t) = 520(0.9481)^t[/tex]

The function  showing the mass of the sample remaining after t is [tex]A(t) = 520(0.9481)^t[/tex]

Answer:

median is the middle value so i think its 54

Answer:

[tex]5(w + 4) \\ = 5(9 + 4) \\ = 5 \times 13 \\ = 65[/tex]

Answer:

i ma rhhy

Step-by-step explanation:

i am right

Step-by-step explanation:

that each shirt is 6 dollars

Answer:

x = 3 and y = 7

Step-by-step explanation:

Given that,

8x+3y=45 .......(1)

2x+3y=27 ........(2)

We need to solve equations (1) and (2)

Multiply equation (2) by 4.

8x+12y=108 .....(3)

Subtract equation (1) from (3).

8x+12y-(8x+3y)=108-45

12y-3y = 63

9y = 63

y = 7

Put the value of y in equation (1).

2x+3(7)=27

2x+21 = 27

2x = 27-21

2x = 6

x = 3

So, the values of x and y are 3 and 7 respectively.

Answer:

The first one is missing (d - 9) so it would be 5(d -9) or when you factor it out 5d - 45

In the second one (d + 7) is missing so it will be 8d(d + 7) so if you factor that out you will receive 8d^2 + 56

Step-by-step explanation:

3d^2 + 18d -21 =(3d -3)( d + 7)

3d^2 -30d +27 =(3d -3)(d - 9)

The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]

Using the parametric equation of the line,

[tex]x=x_0+at[/tex]

⇒ x = 1 + (-1)t

⇒ x = -t + 1

and [tex]y = y_0+bt[/tex]

⇒ y = 4 + (0.5)t

⇒ y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

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Answer:

80 inches

Step-by-step explanation:

8x10=80

because, lxw

l= length

w= width

Answer:

80

Step-by-step explanation:

im not trying to copy the answer above, im just going to say why its 80

so firstly we have the known dimensions of 10 by 8, so in this case we have 10 rows that each contain 8 units

we can then multiply the 8 units of one row, by the amount of rows there are total (in this case 10) to get the total unit count, or area

8 * 10 = 80

(NOTE: you can use the Asterisk (*) as a multiplication mark as to not get it confused with x as in the variable, as with slash (/) for dividing)

hope this helps with this and other problems, credits to the answer above for doing the initial work :)

Answer:

-6

Step-by-step explanation:

Absolute value for positive numbers is just that number

Negative numbers are the opposite when doing absolute value

Absolute value of -6 is 6

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation：

Rolling a 1 is [tex]\frac{1}{6}[/tex]

Flipping tails is [tex]\frac{1}{2}[/tex]

[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{2}=\frac{1}{12}[/tex]

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.

Answer: Yes

Step-by-step explanation: A rational number is a number that can be described as a fraction. -92 can be a fraction, therefor it's rational.

No

A rational number is any number that can be expressed as a ratio of two integers. For example, 1.5 is rational since it can be written as 3/2, 6/4, 9/6 or another fraction or two integers. Pi is irrational since it cannot be written as a fraction.

Answer:

10 times plz mark brainliest

Answer:

10

Step-by-step explanation:

10×10=100. TRUST ME I DID THE MATH

Answer:

its 96 because it is corresponding to both the 96 degrees in the fig

Answer:

9

Step-by-step explanation:

because 14-9=5

or 5+9=14

Hope this helped, plz give me brainiest.