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3 years ago

The tax rate is 3.9%. What is the tax on $42?

Mathematics

2 answers:

MArishka [77]3 years ago

7 0

Answer:

1.64

Step-by-step explanation:

To find the tax, multiply the cost by the tax rate

42 * 3.9%

Change to decimal form

42 *.039

1.638

Round to the nearest cent

1.64

grigory [225]3 years ago

3 0

Answer:

$43.64

Step-by-step explanation:

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The length of an arc of a circle is 7.34 units, and the measure of the corresponding central angle is 81 degrees. What is the ap

GuDViN [60]

Answer:

A. 5.19 units

Step-by-step explanation:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right) \quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle)}$

Given:

$\theta$ = 81°
Arc length = 7.34 units

Substituting given values into the equation and solving for r:

$\implies 7.34=2 \pi r\left(\dfrac{81^{\circ}}{360^{\circ}}\right)$

$\implies 7.34=r\left(\dfrac{18 \pi}{40}\right)$

$\implies 7.34 \cdot 40=18 \pi r$

$\implies 293.6=18 \pi r$

$\implies r=\dfrac{293.6}{18 \pi}$

$\implies r=5.19 \sf \: units \:(2\:dp)$

7 0

1 year ago

Read 2 more answers

Two angles are supplementary.one anglemeasures 15 degrees more than 4 times the other. what is the measure of the larger angle i

tatiyna

X + (4x+15) = 180
5x+15=180
5x=165
x=33
4(33)+15=147. (Or you could subtract 33 from 180)
Check answer: 33+147=180 yes

6 0

2 years ago

Find the distance between the parallel lines m and n whose equations are

MA_775_DIABLO [31]

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4 = x - 6 add x, 6 to both sides

10 = 2x divide both sides by 2

5 = x

So...using -x + 4, the y value at intersection = -1.......

So...we just need to find the distance from (0,4) to ( 5, -1) =

√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units

Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)

Step-by-step explanation:

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2 years ago

Which relationship is a function?

Ivan

Step-by-step explanation:

these are the functions

and the others are not a functions because the domain can't match to more than one

3 0

2 years ago

What is the equation of the line that passes through the origin and is perpendicular to the line 4x+3y=6

frez [133]

The Equation of a Line

The slope-intercept form of a line can be written as:

y = mx + b

Where m is the slope of the graph of the line and b is the y-intercept.

In the specific case where the line passes through the origin (0,0), we can find the value of b by substituting x=0 and y=0:

0 = m(0) + b

Solving for b:

b = 0.

Thus, the equation of the line reduces to:

y = mx

We only need to find the value of the slope.

That is where we need the second data. Our line is perpendicular to the line of equation 4x + 3y = 6.

Solving for y:

$y=-\frac{4}{3}x+2$

The slope of the second line is -4/3.

We must recall that if two lines of slopes m1 and m2 are perpendicular, then:

$m_1\cdot m_2=-1$

Substituting the value of m1 and solving for m2:

$\begin{gathered} -\frac{4}{3}\cdot m_2=-1 \\ m_2=\frac{3}{4} \end{gathered}$

The slope of our line is 3/4 and the required equation is:

$y=\frac{3}{4}x$

From this last equation, we need to find the general form of the line.

Multiply both sides of the equation by 4:

4y = 3x

Subtract 3x on both sides:

4y - 3x = 0

Reorder:

-3x + 4y = 0

5 0

9 months ago