Answer:
see explanation
Step-by-step explanation:
(1)
Calculate the circumference (C) of the wheel
C = πd (d is the diameter )
= 3.14 × 8 = 25.12 cm
Now divide the distance travelled by the circumference.
times rotated = 12560 ÷ 25.12 ≈ 500
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(2)
The area (A) of a circle is calculated as
A = πr² ( r is the radius )
Find r by using the circumference (C)
2πr = 50.24 ( divide both sides by 2π )
r = 50.24 ÷ 6.28 = 8 , then
A = 3.14 × 8² = 3.14 × 64 ≈ 200.96 ft² ( student 3 )
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(3)
C = πd = 3.14 × 30 = 94.2 ≈ 94 m
Answer:2.87
Step-by-step explanation:
Answer:
The 3rd option
Step-by-step explanation:
To prove that 2 triangles are similar, we need to prove that 2 pairs of their angle measurements are congruent.
This is because all triangles have 180 degrees, so if 2 pairs are congruent, the remaining angles will also be congruent
We know that m<D=m<E
We also know that m<DCA=m<ECB because they are vertical angles.
Vertical angles are always congruent.
Therefore, the triangles are similar.
The correct similarity statement would be 1, since <D corresponds with <E.
Now let's look at the 3rd Statement. To prove that two lines are similar, we would have to prove that their alternate interior angles are congruent.
A pair of alternate interior angles would be <D and B or or <E and <A
There is no way to prove this, since we do not know any of the angle or that measurements or if the triangles are isosceles triangles.
Hence, the correct choice would be 1 only.
1. 0.91<0.93; 0.91 is farther away from the whole number 1 so it is less than 0.93.
2. 0.5=0.50; 0.5 and 0.50 are the same, since the decimal can be written with or without the zero.
3. 1.08<1.6; 1.08 is farther away from the whole number 2, so it is less than 1.6.
You are wrapping a gift box. The length of ribbon = length + width + height of box.
<u>Solution:</u>
Given, You are wrapping a gift box.
You want to tie a ribbon around the box, so that whenever the ribbon intersects an edge of the box, its distance to the nearest corner is 1/3 the length of the box.
We have to find how long must the ribbon be?
The figure of this problem is attached below
Now, assume we started to tie at one edge, then next we can tie at straight parallel edge, we can continue till our process ends.
Then, total length of the ribbon = length of box + width of box + height of box.
Hence, the length of ribbon = length + width + height of box.
