8. A length of rope measures 5/8 of a yard long. Rylan would like to cut it into two equal portions.
How long should each portion measure?

Answer:

a)

10 markers : 7 USD

24 markers : 14 USD

42 markers : 21 USD

b)

64 markers : 28 USD

Step-by-step explanation:

10 markers : 7 USD

24 markers : 14 USD

For 10 markers, the price is 7 USD;

For 14 additional markers, the price increased by 7 USD;

Following the pattern, an additional 18 markers would see the price further increase by 7 USD;

So:

24 + 18 = 42

42 markers : 21 USD

Then, an additional 22 markers would cost 7 USD more than this;

42 + 22 = 64

64 markers : 28 USD

Answer:

50.24 square feet

Step-by-step explanation:

Area of a circle = πr2

= π × 4^2

= 50.26 square feet

The Area of the Rectangle = l × w

<> 10 × 8 = 80 ft²

The Area of the Semicircle = ½

The Area of a circle = ½ (πr²)

<> π = 3.14

<> r = ½ of 8 = 4 ft

<> ½(3.14 × 4) = 6.28 ft²

The Area of the figure = Area of rectangle + Area of semicircle:-

<> 80 ft² + 6.28 ft² = 86.28 ft²

Therefore, The area of the figure is 86.28 ft².

The total area of given figure is 130.24 ft².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

The given figure is combination figure with rectangle and semicircle.

Rectangle has length =10 ft and width =8 ft.

Semicircle has diameter =8 ft, so radius =4 ft.

Now, area of rectangle is length × width

= 10 ×8

= 80 ft²

Area of circle =πr²

= 3.14×4²

= 3.14×16

= 50.24 ft²

Total area =80+50.24

= 130.24 ft²

Therefore, the total area of given figure is 130.24 ft².

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Answer:

x=50

Step-by-step explanation:

Since it's a straight line, 3x-20+x=180. 4x=200, x=50

Answer:

The answer is 15x - 10y = -8

Answer:

B

Step-by-step explanation:

bro trust me

Answer:

180

Step-by-step explanation:

Answer:

Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.

Step-by-step explanation:

Using the 2 + (-20) + 8 to describe movement relative to sea level ;

2 can be taken as the starting point, positive values represents elevation above sea level ;

2 can be taken as 2 feet platform above sea level ;

- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)

(-20 + 2) = - 18

8 feets means a final elevation of 8 above sea level (positive value).

Answer:

the set of possible solutions is the empty set {}.

or, whatever the equations describe is impossible.

or,... there can be many answers, depending on whatever the context of this question is.

The answer is -15.

Because others are rational numbers but not integers.

-15 is the only rational number and integer.

Answer: Population Parameter

The characteristic or value of a population that is under consideration is called a parameter, which represents a numerical summary of the population's attributes or features.

The characteristic or value of a population that is under consideration is called a parameter.

In statistics, a parameter refers to a numerical value that describes a specific characteristic of a population.

It is often used to make inferences or draw conclusions about the entire population based on a sample.

Parameters can include measures such as the population mean, population standard deviation, population proportion, or any other characteristic that helps describe the population of interest.

It is important to distinguish parameters from statistics, which are the corresponding values calculated from a sample and used to estimate or infer the population parameters.

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y = x ^2 /8

Vertex: ( 0 , 0 ) Focus: ( 0 , 2 ) Axis of Symmetry: x = 0 Directrix: y = − 2

Answer:

19.2

Step-by-step explanation:

(cos^-1)(17/18)

Answer:

(x+3)² + (y-2)² = 16

Step-by-step explanation:

the equation of a circle is

(x-a)² + (y-b)² = r²

with (a,b) being the center, and r the radius.

Answer:

B) 5.8

Step-by-step explanation:

Answer:

x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)

Step-by-step explanation:

First find the x intercept

To find the x intercept, substitute 0 for y and solve for x.

[tex](0)-6=4(x+5)[/tex]

Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]

[tex]4(x+5)=(0)-6[/tex]

Subtract 6 from 0.

[tex]4(x+5)=-6[/tex]

Divide each term in [tex]4(x+5)=-6[/tex] by 4.

[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]

Cancel the common factor of 4.

[tex]x+5=\frac{-6}{4}[/tex]

Simplify [tex]\frac{-6}{4}[/tex]

[tex]x+5=-\frac{3}{2}[/tex]

Subtract 5 from both sides of the equation.

[tex]x=-\frac{3}{2} -5[/tex]

To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]

[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]

Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].

[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]

Combine the numerators over the common denominator.

[tex]x=\frac{-3-5*2}{2}[/tex]

Simplify the numerator.

[tex]x=\frac{-13}{2}[/tex]

Move the negative in front of the fraction.

[tex]x=-\frac{13}{2}[/tex]

x = [tex](-\frac{13}{2} ,0)[/tex]

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

Find the y-intercepts.

To find the y-intercept(s), substitute in 0 for x and solve for y.

[tex]y-6=4((0)+5)[/tex]

Add 0 and 5.

[tex]y-6=4 *5[/tex]

Multiply 4 by 5.

[tex]y-6=20[/tex]

Add 6 to both sides of the equation.

[tex]y=20+6[/tex]

Add 20 and 6.

[tex]y=26[/tex]

y = (0, 26)

Answer:

9.2

Step-by-step explanation:

Using the pythagoras therorem

hyp^2 = opp^2 + adj^2

10^2 = 4^2 _+ x^2

100 = 16 + x^2

x^2 = 100 - 16

x^2  = 84

x = √84

x = 9.2

Hence the value of x is 9.2

Answer:

[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]

Step-by-step explanation:

1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;

2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3

Answer:

x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]

Step-by-step explanation:

solving for x

take 45 degree as reference angle

using sin rule

sin 45 = opposite / hypotenuse

[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]

do cross multiplication

[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]

[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]

root 2 and root 2 gets cancel.Then ,

x = 4

solving for y

take 60 degree as reference angle

using sin rule

sin 60 = opposite / hypotenuse

[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]

just now we found the value of x i.e 4 now substitute the value of x here.

[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]

do cross multiplication

[tex]2*4 = y * \sqrt{3}[/tex]

[tex]\frac{8}{\sqrt{3} } = y[/tex]

Given that 1-5(3+2.3)

follow BODMAS

1-15-11.5

-14-11.5

-25.5

Answer:

84cm^2

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(6+x)6 = (8+10)* 8

6*(6+x) = 8(18)

Divide each side by 6

6+x = 8(18)/6

6+x = 8*3

6+x = 24

Subtract 6 from each side

6+x-6 =24-6

x = 18

Answer:

B. 3x - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 3

g(x) = x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Answer:

23

Step-by-step explanation:

you subtract 50 the max number from 27 the Lowest number

Answer: 192

Step-by-step explanation:

3 x 8 = 24

24 x 8 = 192

Answer:

the answerto this is 18.02.

Answer:

well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer