Radius = Diameter ÷ 2 = 10 ÷ 2 = 5 cm
Volume = 4/3 πr³ = 4/3 π(5)³ = 524 cm³
Answer: 524 cm³ of water is needed to fill the balloon.
Answer:
y = -8/3x + 33
Step-by-step explanation:
y2 - y1 / x2 - x1
9 - 1 / 9 -12
8 / -3
= -8/3
y = -8/3x + b
1 = -8/3(12) + b
1 = -32 + b
33 = b
Answer:
steps below
Step-by-step explanation:
To construct tangent line to a circle based on two main properties of tangent line and inscriber triangle of circle
1. A line is tangent to a circle when it intersects the circle in one point. At that point, the radius of the circle forms a right angle with the tangent line. If the radius forms a right angle with the tangent line, <u>then the segment OP becomes the hypotenuse of the right triangle.</u>
2. a triangle inscribed in a circle having a diameter (OT) as one side is a right triangle.
Construction:
1. connect P and circle center "O"
2. construct perpendicular bisector of PO --- AB, Intersect M will be the center of new circle and its radius is MP
3. With the center of "M" and radius MP: construct a circle and intersect original circle at "T" and "T'"
4. PT and PT' are the tangent lines
15 percent of 500 is 75, and 7.5 percent of 75 is 5.63. Is that what you're asking?
Answer:
Step-by-step explanation:
Given
The attached figure
Solving (a): EF
Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.
So, EF will be calculated using Pythagoras theorem which states:
Take the positive square roots of both sides
Solving (b): GH
Since m is a perpendicular bisector, then GH = FG
Solving (c): EH
Since m is a perpendicular bisector, then EH = EF