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Anton [14]
3 years ago
8

Emily's bicycle wheel has a diameter of 18 inches. If the wheel makes 20 revolutions, approximately how far will the bicycle hav

e traveled? Round to the nearest whole number.
57 inches
254 inches
1131 inches
5089 inches
explain why is that the answer
Mathematics
2 answers:
valkas [14]3 years ago
6 0

Answer:

20

Step-by-step explanation:

Paraphin [41]3 years ago
4 0

Answer:

1131 inches

Step-by-step explanation:

Radius = 18/2 = 9 in

In one revolution,

2 × pi × 9 = 18pi in

In 20 revolutions:

20 × 18pi = 360pi in

1130.973355 in

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Determine the volume of the parallelepiped with one vertex at the origin and the three vertices adjacent to it at (2, â1, â1), (
valentinak56 [21]

Answer:

23

Step-by-step explanation:

Here is the complete question

Find the volume of the parallelepiped with one vertex at the origin and adjacent vertices at (1, 0, -3), (1, 2, 4), and (5, 1, 0).

Solution

We find the volume of the parallelepiped by making a 3 × 3 column matrix whose columns are the corresponding coordinates of the vertices of the parallelepiped.

So, (1, 0, -3), (1, 2, 4)  and (5, 1, 0)

A = \left[\begin{array}{ccc}1&1&5\\0&2&1\\-3&4&0\end{array}\right]

The determinant of A is the volume of the parallelepiped. So,

detA = 1(2 × 0 - 4 × 1) - 1(0 × 0 - (-3) × 1) + 5(0 × 4 - (-3) × 2)

= 1(0 - 4) - 1(0 + 3) + 5(0 + 6)

= 1(-4) - 1(3) + 5(6)

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4 0
2 years ago
The difference of the same side angles of two parallel lines is 35°. Find all angles
Pavel [41]
<h3>Answer:</h3>

All acute angles are 72.5°; all obtuse angles are 107.5°.

<h3>Explanation:</h3>

Angles on the same side of a transversal cutting parallel lines have measures that total 180°. If o and a represent the measures of the obtuse and acute angles, respectively, then we have ...

... o + a = 180

... o - a = 35

Adding these two equations gives ...

... 2o = 215

... 215/2 = o = 107.5 . . . . degrees

Then the other angle is ...

... a = 107.5 - 35 = 72.5 . . . . degrees

_____

All corresponding angles have the same measures. All vertical angles have the same measures. So the 8 angles that arise from the intersection of the transversal with these two parallel lines will have one or the other of these two measures.

3 0
3 years ago
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