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Morgarella [4.7K]
3 years ago
10

HELP PLZ.....I NEED THIS....One wheel of a bicycle has 24-inch diameter. About how many feet will the bicycle travel when the wh

eel makes 200 revolutions? Use 3.14 for pi. Round to the nearest foot if necessary!!!!!!!! PLEASE HELP!!.....plz
Mathematics
1 answer:
Ne4ueva [31]3 years ago
7 0
First, find the circumference of the wheel using C=2 \pi r

You know that your diameter is 24. To find the radius, divide the diameter by 2, which is 12.

Input 12 as r and simplify. ->  C=2 \pi (12)
C=24 \pi

estimate your Pi as 3.14
C=24(3.14)

and multiply. C=75.36

Now you know the distance of one full revolution in inches. To find 200 revolutions, multiply that answer by 200.

75.36 * 200 = 15,072 inches

But because this is in inches, you have to find the answer in feet, so just divide that answer by 12.

15,072 / 12 = 1,256 ft
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2) The sum of three consecutive multiples of 6 is 162. Find the multiples.
Andru [333]

Answer:

48, 54 and 60

Step-by-step explanation:

Let the three multiples be 6x, 6(x+1) and 6(x+2) respectively.

6x+6(x+1)+6(x+2)=162

6x+6x+6+6x+12=162

18x=144

x=8

Therefore, the three multiples are 6(8), 6(8+1) and 6(8+2)

i.e. 48, 54 and 60

7 0
2 years ago
Solve for y: 4y = 32 A. y = 4 B. y = 6 C. y = 8 D. y = 9
I am Lyosha [343]

Answer:

C

Step-by-step explanation:

4y=32

Taking 4 to the other side

y=32/4

y=8

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3 years ago
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The scale on a map of Roswell, New Mexico is 1 inch : 0.5 mile. If two buildings in Roswell are 2.3 miles apart in real life, th
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Im not too sure but I think its 4.6,because 1 in :.5 mile. As a whole, .5 can go into 2, 4 times, then whats left over also gets divided into .6. Add those together and youll get 4.6

4 0
3 years ago
What does write two addition sentences where the sum is zero mean
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A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular
Tcecarenko [31]

If we draw the diagonals of the octagonal gazebo, the 4 diagonals divide the octagon into 8 triangles.

Note that each triangle is an isosceles triangle whose equal sides are x, the radius of the circle.

The top angle of each triangle is obtained by dividing the full angle by 8.

So, each top angle = \frac{360}{8}

= 45°

Now, in fig., consider one of the triangles Δ OAB. Draw an altitude OC from O to the opposite side AB.

This altitude OC bisects the top angle 45°.

Therefore, ∠ AOC = 22.5°.

Now, in Δ AOC,

sin 22.5=\frac{AC}{OA}

=\frac{AC}{x}

So, AC = x sin 22.5°

Note that, AB = 2 AC.

Therefore, AB = 2x sin 22.5°.

Also, cos 22.5=\frac{OC}{OA}

=\frac{OC}{x}

So, OC = x cos 22.5°.

Area of Δ AOB = \frac{1}{2}(AB)(OC)

= \frac{1}{2} × (2x sin 22.5°) × (x cos 22.5°)

= \frac{1}{2} x^{2} (2 sin 22.5° cos 22.5°)

= \frac{1}{2} x^{2} sin 45°

= x^{2} / 2\sqrt{2}

Area of the octagonal gazebo = 8 × one triangular area

= 8 × (x^{2} / 2\sqrt{2})

=2\sqrt{2} x^{2}

=2.828x^{2}

Area required for mulch = circular area - area of the gazebo

=3.14x^{2} -2.828x^{2}

=0.312x^{2}

Now, cost per unit area = $1.50.

Hence, total cost g(m) = area × cost per unit area

Total cost g(m) = 0.312x^{2} × 1.5

=0.468x^{2}

Hence, total cost g(m) = 0.468x^{2}.

4 0
3 years ago
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