Answer:
m∠CAO=8º
m∠SAC=82º
Step-by-step explanation:
We know that m∠OAS is 90º because it is a radius to a tangent. This will be useful later.
OA=OB because they are both radii. If we draw a line from A to B, this makes an isosceles triangle ABO with a vertex angle of 32 because of the central angle theorem. This means that m∠OAB and m∠OBA are both 74º.
Isosceles triangle CAB is also formed with the construction of AB. Using the inscribed angle theorem, we can find ACB, which is 16º. Solve for the other angles and you get 82º. To find m∠CAO, subtract m∠OAB from m∠CAB, and this returns 8.
To find m∠SAC, subtract m∠CAO from m∠OAS, which is 90º-8º, and you get 82º.
9514 1404 393
Answer:
5 1/16 ft
Step-by-step explanation:
h(t) = -16t(t -18/16) . . . . put in intercept form
The function describes a parabola that opens downward. It has zeros at t=0 and t=9/8. The maximum height will be found at the vertex of the parabola, halfway between these zeros.
f(9/16) = (-16)(9/16)² +18(9/16) = 81/16 = 5 1/16 . . . . feet
The approximate maximum height of the leopard is 5 1/16 feet.
2x +8=2x+8
2x-2x=8-8
0x=0
So the answer is 0
Answer: 17.9 km/h
Step-by-step explanation:
Convert 33 minutes and 50 seconds to Hours:
= 33 ⁵⁰/₆₀ minutes
= 33.83 minutes
In hours that would be:
= 33.83 / 60
= 0.56 hours
10,000 meters in kilometers is:
= 10,000 / 1,000
= 10 kilometers
Speed = 10 / 0.56
= 17.9 km/h
When you divide 6x10^24 by 8x10^8 you end up with
This simplifies to
Now this number is not written in scientific notation as it does not have its first digit before the decimal, so we must move the decimal of this one to the right.
To do that you must multiply the number by 10.
This means that the exponet of 10 must decrease by 1.
This makes the answer