ANSWER
30 in.
EXPLANATION
The formula for calculating the circumference of a circle in terms of diameter is
It was given to us that the circumference is C=30π in.
We substitute this into the formula to obtain;
Divide both sides by π to get,
The diameter is 30 in.
The second choice is correct.
Answer:
b) Chemistry
Step-by-step explanation:
To compare both scored we need to standardize the scores using the following equation:
Where x is the score, m is the mean and s is the standard deviation. So, 82 on chemistry is equivalent to:
Because the mean of the scores on the chemistry final exam is equal to 75 and the standard deviation is 15
At the same way, 80 on Calculus is equivalent to:
Because the mean of the scores on the calculus final exam is equal to 83 and the standard deviation is 13
Now, we can compare the values. So, taking into account that -0.2308 is lower than 0.4667, we can said that the student do better in Chemistry.
Answer:
200 kg
Step-by-step explanation:
since 1 lb = 0.45 kg all you do is 90 ÷ 0.45
that'll get you 200
200 kg is how much Dane Danny weighs
Answer:
You can conclude from the diagram that m∠P is less than m∠N ⇒ A
Step-by-step explanation:
- In any triangle, you can arrange the lengths of the sides according to the measure of the opposite angles
- In any triangle, you can arrange the measure of the angles according to the lengths of the opposite sides
<u><em>Example:</em></u>
In ΔABC, if the arrangement of the sides is AB < BC < CA, then the arrangement of the measures of the angles is m∠C < m∠A < m∠B
Let us use this fact to solve the question
→ In ΔKNP
∵ KP = 8 units
∵ KN = 6 units
∵ 6 < 8
∴ KN < KP
∵ ∠P is opposite to the side KN
∵ ∠N is opposite to the side KP
∵ KN < KP
→ By using the fact above
∴ m∠P < m∠N
∴ m∠P is less than m∠N
∴ You can conclude from the diagram that m∠P is less than m∠N
Answer:
a(6) = 37.97
Step-by-step explanation:
If the first term a(1) is 5 and the common ratio r is 3/2, then the general formula for this geometric sequence is
a(n) = 5*r^(n - 1).
Thus, the 6th term is a(6) = 5*(3/2)^(6 - 1), or a(6) = 5(3/2)^5 = 37.97
