Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.
Therefore V = 4/3 * 3.14 * 7^3
= 4/3 * 3.14 * 343
= 4/3 * 1077.02
= 1,436.02667 cubic units
For this case, the first thing you should know is that by definition, the vertical angles are congruent.
We have then:
∠1 and ∠2 are vertical angles.
Therefore, by definition:
∠1 = ∠2
On the other hand we have:
∠2 has a measure of 31 °.
Thus:
∠1 = ∠2 = 31 °
Answer:
the measure of ∠1 is:
∠1 = 31 °
Answer:
10 minutes
Step-by-step explanation:
5/6 of an hours is 50 min. Assume x is the time she spends on each skill.
5x=50
x=10
Answer:
a) 18.4%
Step-by-step explanation:
Assuming a normal distribution, the z-score (z) for the probability of the average of the mosquitoes count being 'X' is given by:
Where 'μ' is the distribution mean, 'σ' is the standard deviation and 'n' is the number of square meters chosen.
For X = 81.8 and n=36:
A z-score of 0.9 is equivalent to the 81.59 th percentile in a normal distribution.
Therefore, the probability (P) that the average of those counts is more than 81.8 mosquitoes per square meter is:
Answer:
28 degrees
Step-by-step explanation:
Since the lines are parallel this means that angle BEF and angle ABE are equal because they are alternate interior angles. We are given a right angle which measures 90°. This means we can do 118°-90° to give us angle ABD. This means that angle ABD is 28°.
