<span>the tens digit = n
</span><span>the units digit = n-5
n + n-5 = 9
2n = 9+5
2n = 14
n = 7 </span>← the tens digit
the units digit = n-5 = 7 - 5 = 2
<span>the number is 72</span>
Answer:
6.68 %.
Step-by-step explanation:
The standardised z-score = ( 10.95 - 10.5) / 0.3
= 1.5.
Looking up the Normal Distribution tables ( area to the left) 1.5 corresponds to 0.93319 so for a weight above 10.95 the proportion is
1 - 0.93319 = 0.06681
= 6.68%.
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.
Answer:
67º <33
Step-by-step explanation:
180-46= 134º
134/2= 67º
A GCF is the greatest common factor. It is the largest number that fits into other numbers. A seven cannot fit into a number smaller than itself, that doesn't work. Try to fit 7 into a smaller number like 4, it doesn't work.
Option A is 21 and 3 and Option C is 7 and 1. Those can be eliminated because 7 is larger than 3 and 1.
Option B is 7, 14. 7 Is the largest number that goes into 7 and it goes into 14. So B works.
28 and 7 is Option D. 7 is the largest number that goes into 7 and it goes into 28, so D works.
