Answer:
21
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 +b^2 = c^2
where a and b are the legs and c is the hypotenuse (opposite the right angle)
20^2 +b^2 = 29^2
400 + b^2 =841
Subtract 400 from each side
400-400 +b^2 = 841-400
b^2 = 441
Take the square root of each side
sqrt(b^2) = sqrt(441)
b = 21
Answer:
1130.97336 units^3
Step-by-step explanation:
The volume of a cylinder can be found using:

We have the area of the base, but not the radius

We know the area is
, so we can substitute that in for a

We want to find r, so we need to isolate it
Divide both sides by pi
36=r^2
Take the square root of both sides
6=r
Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in


Solve the exponent


v=1130.97336
The volume is 1130.97336 units^3
Answer:
The scatter diagram that contains the correlation coefficient closest to r = 1 is the first one shown in the attached images.
Step-by-step explanation:
The correlation coefficient "r" measures how much two variables x and y are related. When the variables are highly related, the value of r is closer to one and the points contained in the scatter diagrams are assimilated more and more to a line. When the value of r is positive the relation is crescent and therefore the slope of the line drawn by the points in the diagram has a positive slope
Therefore, to answer this question, one must search among the attached images for the dispersion diagram in which the points resemble a straight line with a positive slope.
The scatter diagram that meets the requirements mentioned is the first one that appears in the attached images
Use the slope formula which is;
slope= (y2 - y1)/ (x2 - x1)
slope= (9-1)/ (8-4)
Slope= (8)/(4)
Slope= 2
Answer:
Those areas are: A 1 = 12, A 2 = 19
Step-by-step explanation:
The area of shape 1 : it consists of 1 square + 4 right triangles
Area of the square: A = a², area of the triangle: A = 1/2 · a · h
A 1 = 2² + 4 · 1/2 · 2 · 2 = 4 + 8 = 12
The area of shape 2 : it consists of 2 isosceles triangles
A 2 = 1/2 · 2 · 4 + 1/2 · 6 · 5 = 4 + 15 = 19