What is the length of material in yards delivered by a roll with a speed of 290 rpm and a diameter of 46 mm? (Note: assume the roll turns for 90 seconds.)
Answers
Answer:
The length of material is 68.7 yards.
Step-by-step explanation:
If the material is delivered in a roll, we can calculate how many material is delivered by turn (one rotation). In one turn it delivers (π*D) of material, its perimeter.
If the diameter is 46 mm, in one turn the material delivered is
As we know the rotational speed, we can calculate the amount of material delivered by unit of time:
If the roll turns for 90 seconds (or 1.5 min) we can calculate
As we need the result in yards, we can convert (1 yard=914.4 mm)
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The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
What is Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices.
The ratio of the lengths of corresponding sides of triangles ABC and DEF.
AB and DE are corresponding sides, so:
AB/DE = (distance between A and B) / (distance between D and E)
= 2.5 / 5
= 0.5
BC and EF are corresponding sides, so:
BC/EF = (distance between B and C) / (distance between E and F)
=1.118 / 2.236
= 0.5
AC and DF are corresponding sides, so:
AC/DF = (distance between A and C) / (distance between D and F)
AC/DF = 2.236 / 4.472
= 0.5
We see that all three ratios are equal to 0.5.
Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.
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Answer:
(A) the center of dilation is at (-2,-1)
(E) the scale factor is 2
12 it
8
15 ft
What is the distance from point A to point B in feet?
A. 8ft B.7ft c.9ft D.6ft
Answers
The requried measure of the AB is given as 7ft. Option B is correct.
What are Pythagorean triplets?
In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
From the diagram, applying Pythagoras' theorem to the right rectangle,
BC² = 15² - 12²
BC² = 81
BC = 9
Now,
AC = 16
AB + BC = 16
AB + 9 = 16
AB = 7 ft
Thus, the requried measure of the AB is given as 7ft. Option B is correct.
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Answer:9 ft
Step-by-step explanation:
Answers
Answer :
- One solution
Step by Step explanation :
Take the given equation :
⇒2 + x = 6
Now, start solving it
⇒x = 6 - 2
⇒x = 4
Hence, Solution of given equation is 4. And only one solution exists.
Answer:
one
Step-by-step explanation:
the answer is 4 and there is only one solution there
Answers
Answer:
I think its b
Step-by-step explanation:
by moving it 5 units down, A' will become (-4,-4), and a 180° would make A'' (4,4). (I haven't taken geometry in a few years, so if im wrong, I'm sorry)
Answer:
B
Step-by-step explanation:
I took the test
Answers
Answer:
936
Step-by-step explanation:
Therefore you multiply 6 by 18 = 6×18= 108
1,044 - 108 = 936
So therefore the total is 936
Final answer:
The cost of each ticket before insurance is $156. This is obtained by subtracting the total cost of the insurance from the total amount spent and then dividing by the number of tickets.
Explanation:
The subject of this question seems to be an exercise in elementary algebra. If a family buys 6 airline tickets online and also purchases travel insurance that costs $18 per ticket, then the amount spent on insurance alone is $18 * 6 = $108. We know that the total cost, including the tickets and the insurance, is $1,044. Therefore, to find out the cost of the tickets alone, we subtract the cost of the insurance from the total cost: $1,044 - $108 = $936, which will be the cost for the tickets alone. So, the cost of each ticket is $936 / 6 = $156. Therefore, each ticket cost $156 before insurance.
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$23. She has $65 that she is able to spend. Which equation can be used to
determine how many CDs Shayla could buy?
Answers
65 is the total money
23 is with the dvd
14 is how many she can buy