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vovangra [49]
3 years ago
14

A stereo costs $418.70, including 6% sales tax. How much was the sales tax itself?

Mathematics
1 answer:
gulaghasi [49]3 years ago
3 0

Answer:

25.12

Step-by-step explanation:

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jekas [21]

Given: In the given figure, there are two equilateral triangles having side 50 yards each and two sectors of radius (r) = 50 yards each with the sector angle θ = 120°

To Find: The length of the park's boundary to the nearest yard.

Calculation:

The length of the park's boundary (P) = 2× side of equilateral triangle + 2 × length of the arc

or,                    (P) = 2× 50 yards + 2× (2πr) ( θ ÷360°)

or,                    (P) = 2× 50 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 2× (2×3.14× 50 yards) ( 120° ÷360°)

or,                    (P) = 100 yards + 209.33 yards

or,                    (P) = 309.33 yards ≈309 yards

Hence, the option D:309 yards is the correct option.

7 0
4 years ago
Read 2 more answers
Alexis Brian and Carli collect graphic novels, Brian has 5 more graphic novels then Alexis and Carli has twice as many as Alexis
kkurt [141]
According to Google, a Variable is <span>any factor, trait, or condition that can exist in differing amounts or types. If you type in variable in the Google search bar, it will give you the definition in a little box at the very top of the page :).
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4 0
3 years ago
Help and show explanation please
Dennis_Churaev [7]
The picture can be divided into 2 same triangles and one rectangular.

The triangle areas is {1/2 *base * height}*2 (because 2 same triangles)

and you need to sum rectangular area (width * base).
The result will be area of 2 triangle +area of rectangular.
=2(1/2*base of triangle* height)+ (base of rectangular * height)
= (base of triangle* height)+(base of rectangular * height)
=(base of triangle +base of rectangular)*height

b1 is top length
b2 is bottom length, and so

Base of triangle =(b1-b2/2)
Base of rectangular =b2
Height =h
Thus A ={(b1-b2/2)+b2 }*h
A= [(b1+b2)/2]*h
8 0
2 years ago
Which number completes the inequality​
Vladimir [108]

Answer:

3/5

Step-by-step explanation:

to see whether the number complete the inequality or not multiple denominator first with 3 you will see it's bigger than 2/3 then with 9 and it is smaller than 7/9.

8 0
3 years ago
Equation of a line with an slope of 1/2 that contains (-4, 7)
nasty-shy [4]

Equation of a line with an slope of 1/2 that contains (-4, 7) is y=\frac{1}{2} x+9

<em><u>Solution:</u></em>

We have been given a point and slope of an equation and have been asked to write it in an equation. The two forms of writing a point and slope in equation are point slope form and standard form.

The standard form of a line is in the form Ax + By = C where A is a positive integer, and B, and C are integers. The standard form of a line is just another way of writing the equation of a line.

To write in standard form we will first write it in point slope form and then rearrange it into a standard from.

<em><u>The formula for point slope form:</u></em>

y-y_{1}=m\left(x-x_{1}\right)

where "m" is the slope of line

Given that "m" = \frac{1}{2} and (x_1, y_1) = (-4, 7)

\begin{array}{l}{y-7=\frac{1}{2}(x-(-4))} \\\\ {y-7=\frac{1}{2}(x+4)} \\\\ {y-7=\frac{1}{2} x+2} \\\\ {y=\frac{1}{2} x+9}\end{array}

Now, let us convert this equation to standard form

0.5x + 9 = y

0.5x - y = -9

Thus we have found out equation of line in point slope and standard form

3 0
3 years ago
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