Answer: b = 8
Step-by-step explanation:
Use the Pythagorean theorem
A square + B square = C square
C square - A square = B square
C square - B square = A square
10 - 6 = b --Square it
100 - 36 = 64 (square root)
64 = 8
b = 8 miles
If the ratio of red marbles to blue marbles in a jar is 3 to 8, the meaning is for every 3 red marbles there are 8 blue marbles.
3 red marbles------------------8 blue marbles.
ratio=3/8
we have 40 blue marbles; we have to compute the number of red marbles.
1) Method 1; by the rule three.
3 red marbles-----------------8 blue marbles
x----------------------------------40 blue marbles
x=(3 red marbles * 40 blue marbles) / 8 blue marbles=15 red marbles.
answer: B. 15
Method 2: the ratio of red marbles to blue marbles is
ratio=number of red marbles / number of blue marbles
ratio=3/8
if we want to compute the number of red marbles we have to multiply the number of blue marbles by this ratio.
number of red marbles=ratio (red/blue)* number of blue marbles
number of red marbles=(3/8)*40=15
Answer: B.15
Answer:
C. Point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Step-by-step explanation:
The center of insribed circle into the triangle is the point where the angle bisectors of the triangle meet.
The center of circumsribed circle over the triangle is the point where the perpendicular bisectors of the sides meet.
Line segments ZE, FY and GX are both angle bisectors and perpendicular bisectors of the sides, so the point of intersection of line segments ZE, FY and GX is the center of inscribed circle into the triangle and the center of the circumscribed circle over the triangle. Inscribed circle passes through the points X, Y and Z. Circumscribed circle passes through the points E, F and G. So, point A is the center of the circle that passes that passes through the points E, F and G and is the center of the circle that passes through the points X, Y and Z.
Answer:
c²=√181=13.45, or 13.5
Step-by-step explanation:
The pythagorean theorem is a²+b²=c²
Given this, we will plug in our numbers like this: 9²+10²=c²
9²+10²=181, but we have to find the square root of that.
c²=√181=13.45, or 13.5
I hope this helps!! :)
Answer:
The answer is option d
Since 64 is a perfect cube ³√64 = 4
and the exponents 27 and 125 are also perfect cubes ³√27= 3 and ³√ 125 = 5 respectively.
