Answer: The area of the circle with a diameter of 10 cm is 78.5 cm2.
The angle RPQ is 1/2 the central angle of RPQ. The central angle is the measurement of the arc RPQ. The central angle is 180-125 = 55° so the arc measurement is 55°
Arc SP is the same thing 55°
Arc RP is 125° as is Arc QS
It's a, you can just do the vertical line test where if you put a line on that graph and it hits two or more points then it isn't a function but if it only hits 1 then it is
Answer:
63,960 possibilities in total.
Step-by-step explanation:
For the first number, you can choose from 41 different numbers, so there are 41 possibilities.
For the second number, you cannot choose the same as the first one, so you are now limited to 40 possibilities.
For the third number, you are down to 39 possibilities since you cannot pick the same as the first two ones.
So, you have 41 * 40 * 39 = 63,960 possibilities in total.
Picking a new combination is easy... remembering it is the hard part :-)
If you want to calculate it from a formula standpoint, the base formula would be:
Where n is the total numbers possible and r is the quantity of numbers you have to pick.
The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
<h3>What is volume?</h3>
Volume is the capacity of an object.
To calculate the surface area and volume of the cone shown above, we use equation 1 and equation 2 respectively.
Formula:
- S = πr√(r²+h²)............. Equation 1
- V = πr²h.................. Equation 2
Where:
- S = Surface area of the cone
- V = Volume of the cone
- r = Radius of the base of thye cone
- h = Vertical height of the cone.
From the diagram,
Given:
- r = 10 km
- h = 24 km
- π = 3.14
Substitute these values into equation 1 and equation 2 respectively.
- S = 3.14×10[√(24²+10²)
- S = 31.4(√676)
- S = 31.4×26
- S = 816.4 km²
Also for the volume of tyhe cone
- V = 3.14×10²×24
- V = 7536 km³
Hence, The surface area and the volume of the cone is 816.4 km² and 7536 km³ respectively.
Learn more about volume here: brainly.com/question/1972490
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