9/8 because you multiply 3 × 3 and leave the denominator the same
Answer:
- <u><em>A. 6,000 miligrams</em></u>
Explanation:
A <em>balance scale</em> is balanced when the weights on both sides are equal. Then, since the image shows that both sides are equal, the weight of the <em>6-gram weight</em>, placed by Henry on one side of the balance scale is equal to the weight of the <em>ballet slipper </em>placed on the other side.
- Weight of the balance slipper = weight of the 6-gram weight
- Weight of the balance slipper = 6 grams
<u>Conversion of units: </u>
- 6 grams × 1,000miligrams/1gram = 6,000 miligrams
- Weight of the balance slipper = 6,000 miligrams
That is the option A.
This is a fundamental counting principle problem and can be solved by multiplying the number of choices you have for each digit of the license plate.
For the first five digits you can choose from the numbers 0,1,2...,9 or 10 choices.
A we cannot repeat the digits, so, first five digits will be:
10 × 9 × 8 × 7 × 6
Now the next 1 digit will all be letter all being different
There are 26 letters in the alphabet.. for our second digit we have 26 choices,
Here is the whole calculation:
= 10 × 9 × 8 × 7 × 6 × 26
= 786240
To learn more about calculating possibilities from the given link
brainly.com/question/4658834
#SPJ4
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
_____
You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
