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3 years ago

11

An automobile tire loses t milliliters of tread traveling m miles. What is the independent variable?

1 answer:

CaHeK987 [17]3 years ago

5 0

Dependent variable is dependent on the independent variable

m, because the amount of tread lost depends on how many miles you traveled
it's not, the amount of miles depends on how much tread you lost

m is indepdent

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I keep putting in the formula but I keep getting the answer wrong

Advocard [28]

Answer:

314 in² (nearest whole number)

Step-by-step explanation:

<u>Radius of a regular polygon</u>: The distance from the <u>center</u> of the polygon to any vertex. The radius of a hexagon is equal to the length of one side.

Therefore, from inspection of the given diagram:

radius = 11 in ⇒ side length = 11 in

To find the area of a regular polygon, we first need to calculate the apothem. The <u>apothem</u> is the line drawn from the center of the polygon to the midpoint of one of its sides.

$\textsf{Length of apothem (a)}=\dfrac{s}{2 \tan\left(\frac{180^{\circ}}{n}\right)}$

where:

s = length of one side
n = number of sides

Given:

s = 11 in
n = 6

Substitute the given values into the formula and solve for a:

$\implies \textsf{a}=\dfrac{11}{2 \tan\left(\frac{180^{\circ}}{6}\right)}=\dfrac{11\sqrt{3}}{2}$

<u>Area of a Regular Polygon</u>

$\textsf{A}=\dfrac{n\:s\:a}{2}$

where:

n = number of sides
s = length of one side
a = apothem

Given:

n = 6
s = 11

$\textsf{a}=\dfrac{11\sqrt{3}}{2}$

Substitute the given values into the formula and solve for A:

$\implies \sf A=\dfrac{6 \cdot 11 \cdot \dfrac{11\sqrt{3}}{2}}{2}$

$\implies \sf A=314.3672216...$

$\implies \sf A=314\:\:in^2\:\:(nearest\:whole\:number)$

8 0

2 years ago

What is the arc length of PQ?

almond37 [142]

Answer:

43.9823

Step-by-step explanation:

$Arc length = 2\pi r(\frac{0}{360} )\\ = 2\pi 12(\frac{210}{360} )$

3 0

3 years ago

A box contains 35 coins either nickels or dimes all worth $2.90. How many dimes are in the box?

tino4ka555 [31]

Answer:

There are 23 dimes in the box

Step-by-step explanation:

Let nickels=n

Let dimes=(35-n)

Equation: 0.05n+0.10(35-n)=2.90

Multiply both sides by 100: 5n+10(35-n)=290

-5n+350=290

-5n=-60

n=12

35-12=23

Therefore, there are 23 dimes in the box

3 0

3 years ago

The endpoints of PQ are P(2, 0) and Q (4, 2). Find the coordinates of midpoint PQ.

lawyer [7]

Answer:

Step-by-step explanation:

Parameterize the ellipse as (acos∙,bsin∙). Take points P:=(acosp,bsinp) and Q:=(acosq,bsinq) on the ellipse, with midpoint M:=(P+Q)/2.

If |PQ|=2k, then

a2(cosp−cosq)2+b2(sinp−sinq)2=4k2

The coordinates of M are

xy==a2(cosp+cosq)b2(sinp+sinq)

4 0

4 years ago

The perimeter of a rectangular carton is 60 inches. If the width of the carton is 11 inches, calculate its length

Thepotemich [5.8K]

Answer:

19 inche

Step-by-step explanation:

Perimerer of rectangle = 2(length + breadth)

60 = 2(length + 11)

60/2 = (length + 11)

30 - 11 = length

19 = length

6 0

3 years ago