ΔABO is a right triangle with AB⊥BO. The radius of the circle is BO. The Pythagorean theorem applies.
AO² = AB² + BO²
13² = 5² + r²
169 -25 = r²
r = √144 = 12
The radius (r) is 12.
D^2 = (x2-x1)^2 + (y2-y1)^2
D =sqrt((10+5)^2 + (10-2)^2)
D P SQRT(15^2 + 8^2)
D = sqrt(225 +64)
D= sqrt(289)
D = 17
The distance is 17
Answer:
B and C
Step-by-step explanation:
The correct options are :
A cross-section that is perpendicular to the base of a cube.
A cross-section that is perpendicular to the base of a cylinder whose base diameter and height are the same.
In both the cases the length and the width of the section are equal
Answer:
122 or (3x-4).
Step-by-step explanation:
First, let's take a look at the polygon
The polygon has 5 sides.
We can calculate it's sum of interior angles by using (n-2)*180
Here, number of sides(n)=5
Therefore, (n-2)*180=(5-2)*180=3*180=540
Now that we got that out of the way, let's solve for x
2x+9+3x-8+3x-4+3x-10+2x+7=540
or,13x-6=540
or,13x=546
or,x=42
Now, solve for each interior angle,
2x+9=93
3x-8=118
3x-4=122
3x-10=116
2x+7=91
The largest here s 122 which is 3x-4.
SO, the largest interior angle=122 or (3x-4).
The x intercept is also known as the domain
(3,6) in that ordered pair, 3 would be the domain