9514 1404 393
Answer:
(9/34)√34 ≈ 1.543
Step-by-step explanation:
The second equation can be rewritten as ...
6x -10y -12 = 0
3x -5y -6 = 0
3x -5y = 6
__
The formula for the distance from point (x, y) to line ax+by+c=0 is ...
d = |ax+by+c|/√(a²+b²)
Then the distance from a point to the first line is ...
d = |3x -5y +3|/√(3² +(-5)²)
We know from the rearrangement of the second equation that points on its line satisfy (3x-5y) = 6. Substituting this value for (3x -5y) in the distance formula gives ...
d = |6 +3|/√34
Simplifying and rationalizing the denominator gives a distance of ...
d = (9/34)√34 ≈ 1.543
X = 7
8(7) = 5(7) + 21
56 = 35 + 21
56 = 56
Answer:
The measure of the third angle is a 90 degrees
Step-by-step explanation:
Let
A and B ----> two complementary angles in a triangle
C ---> the measure of the third angle in a triangle
we know that
If two angles are complementary, then their sum is equal to 90 degrees
so
---> equation A
Remember that
The sum of the interior angles in any triangle must be equal to 180 degrees
so
----> equation B
substitute equation A in equation B
solve for C
subtract 90 degrees both sides
therefore
we have a right triangle
121 of the green beans will be shorter than 13 centimeters.
First, we need to evaluate the expression below to find the z-score.
(13 - 11.2) / 2.1. = 0.86
The matching percent for this z-score is 0.8051.
Multiplying 0.8051 by 150 gives us about 121 green beans.
Volume of Cone
Volume of the right circular cone is 248.7 m³
Step-by-step explanation:
A right circular cone is a three dimensional geometrical object. Right circular cone is a circular cone whose axis is perpendicular to its base. The slant height is the length of an element. All elements of a right circular cone are all equal.
The volume of the right circular cone is defined as 
where r is radius of the cone and h is the height of the cone
V =
Given diameter d = 8.9 m
So the radius r = 8.9 ÷ 2 = 4.45 m
V = (1/3) × 3.14 × (4.45)² × 12
= (1/3) × 3.14 × 19.80 × 12
= 248.69 m³
Hence the Volume of the right circular cone is 248.7 m³
