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earnstyle [38]
3 years ago
15

a 7.15h tire is 6 5/8 inches wide and a 7.15c tire is 4 3/4 inches wide. what is the different in their widths​

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
7 0

Answer:

1\frac{7}{8}\ in

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

<em>7.15h tire</em>

6\frac{5}{8}\ in=\frac{6*8+5}{8} =\frac{53}{8}\ in

<em>7.15h tire</em>

4\frac{3}{4}\ in=\frac{4*4+3}{4} =\frac{19}{4}=\frac{19*2}{4*2}=\frac{38}{8}\ in

step 2

Find the difference

\frac{53}{8}\ in-\frac{38}{8}\ in=\frac{15}{8}\ in

step 3

Convert to mixed number

\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ in

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HELP!!!! if you answer you get 20 points.
wolverine [178]

Answer:

Very last choice is the answer.

Step-by-step explanation:

Remark

The thing that is most important is that the horizontal line connect h and the radius is parallel to the cut of the sphere if it was placed right in the middle. That line swings around as though the center was a pivot.

Solution

  • So what you have is a circle when that line goes around that part of the sphere.
  • To find the length of that line, use the Pythagorean Theorem. Call the line r1.
  • r1 ^2 = r^2 - h^2
  • So the area is pi * r1^2
  • Area = pi (r^2 - h^2)
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8 0
3 years ago
Completely Factor the expression -18 P - 9​
jekas [21]

can i have brainliest pls tyyy :)))

Answer:

-9(2p+1)

Step-by-step explanation:

-18p - 9

find the GCF (greatest common factor) for the expression.

-9

then, divide each term by the GCF

-18p / -9        -9 / -9

= 2p               = 1

next, put the two terms you get when dividing into the final form of the answer:

GCF on the outside and quotients on the inside

-9(2p+1)

hope this helped! ;)

5 0
3 years ago
3 csc^2(2x) + 2 cosec 2x = 1-cot^2(2x)
asambeis [7]

I am assuming you want to solve for x:-

Now cosec^2 2x = 1 - cot^2 2x  so the equation becomes

3 cosec^2(2x) + 2 cosec 2x =  cosec^2 2x

2 cosec^2 2x + 2 cosec 2x = 0

2 cosec 2x (  cosec 2x + 1) = 0

so 2 cosec 2x = 0  or    cosec 2x = -1

cosec 2x = 0  or cosec 2x = -1

cosec 2x = 0  is indeterminate so we ignore the first one

cosec 2x = -1  can be written as 1 / sin 2x = -1

so sin 2x = -1  

giving 2x = 270 degrees

Therefore  x = 135 degrees  answer


3 0
3 years ago
A box with a square base and an open top is being constructed out of A cm2 of material. If the volume of the box is to be maximi
viktelen [127]

Answer:

Side length = \sqrt{\frac{A}{3} } cm ,   Height =  \frac{1}{2} \sqrt{\frac{A}{3} } cm  ,  Volume = \frac{A\sqrt{A}}{6\sqrt{3} }  cm³

Step-by-step explanation:

Assume

Side length of base = x

Height of box = y

total material required to construct box = A ( given in question)

So it can be written as

A = x² + 4xy

4xy = A - x²

  1. y = \frac{A - x^{2} }{4x}

Volume of box = Area x height

V = x² ₓ y

V = x² ₓ ( \frac{A - x^{2} }{4x} )

V =  \frac{Ax - x^{3} }{4}

To find max volume put V' = 0

So taking derivative equation becomes

\frac{A - 3 x^{2} }{4} = 0

A = 3 x^{2}

x^{2} = \frac{A}{3}

x = \sqrt{\frac{A}{3\\} }

put value of x in equation 1

y = \frac{A - \frac{A}{3} }{4\sqrt{\frac{A}{3} } }  

y = \frac{2 \sqrt{\frac{A}{3} } }{4 \sqrt{\frac{A}{3} } }

y = \frac{1}{2} \sqrt{\frac{A}{3} }

So the volume will be

V = x^{2} × y

Put values of x and y from equation 2 & 3

V = \frac{A}{3} (\frac{1}{2} \sqrt{\frac{A}{3} } )

V = \frac{A\sqrt{A}}{6\sqrt{3} }

8 0
3 years ago
What is the slope of a line perpendicular to y = 2x + 3
hammer [34]

Answer:

-1/2

Step-by-step explanation:

The slope of a perpendicular line is opposite reciprocal. So the opposite of 2 is -2, and the reciprocal of 2 is 1/2.

3 0
3 years ago
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