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den301095 [7]
3 years ago
7

If the measure of angle ABC is 57 degrees, what is the measure of arc AB

Mathematics
2 answers:
gayaneshka [121]3 years ago
5 0
It’s 114 degrees , I don’t know how to explain it though
erastova [34]3 years ago
5 0

144 is right.

To put it inna nutshell just multiply 57 by 2.

That's how you solve for this.

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The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm.
Nat2105 [25]

Answer:

A) Maximum error = 170.32 cm³

B)Relative error = 0.0575

Step-by-step explanation:

A) Formula for circumference is: C = 2πr

Differentiating with respect to r, we have;

dC/dr = 2π

r is small, so we can write;

ΔC/Δr = 2π

So, Δr = ΔC/2π

We are told that ΔC = 0.5.

Thus; Δr = 0.5/2π = 0.25/π

Now, formula for Volume of a sphere is;

V(r) = (4/3)πr³

Differentiating with respect to r, we have;

dV/dr = 4πr²

Again, r is small, so we can write;

ΔS/Δr = 4πr²

ΔV = 4πr² × Δr

Rewriting, we have;

ΔV = ((2πr)²/π) × Δr

Since C = 2πr, we now have;

ΔV = (C²/π)Δr

ΔV will be maximum when Δr is maximum

Thus, ΔV = (C²/π) × 0.25/π

C = 82 cm

Thus;

ΔV = (82²/π) × 0.25/π

ΔV = 170.32 cm³

B) Formula for relative error = ΔV/V

Relative error = 170.32/((4/3)πr³)

Relative error = 170.32/((4/3)C³/8π³)

Relative errror = 170.32/((4/3)82³/8π³)

Relative error = 170.32/2963.744

Relative error = 0.0575

3 0
2 years ago
The scatter plot below shows the relationship between drop height and speed of a roller coaster.
attashe74 [19]

Answer: I believe it is Response 3

Step-by-step explanation:

3 0
3 years ago
How many people must be in the group so that the probability of any two people sharing the same birthday is ~50%?
My name is Ann [436]

12345678912334567890123546789

4 0
3 years ago
each baseball team has 9 players and each football team has 11 players. 6 schools have both baseball and football teams. Four sc
adelina 88 [10]

Answer:

156 players

Step-by-step explanation:

The 9 players for baseball and 11 players for football are added. 9 + 11 = 20.

Once you have 20, you can multiply it by the 6 schools. Which gets you 120 players so far.

After you multiply the 4 schools by the 9 players for baseball. You’ll get 36. Add the 120 players to 36 players and you’ll get 156 players for the 10 schools in total

6 0
3 years ago
If there are 30 adults at a party and 21 kids at a party what is the fraction of adults at the party
Arisa [49]

Answer:

i think its 70 percent maybe

3 0
2 years ago
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