Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
Answer:
the answer is 48cm
Step-by-step explanation:
all you do is you times 6 by 8
Using the binomial distribution, it is found that there is a 0.25 = 25% probability he will land on A on the first spin and A and the second.
For each spin, there are only two possible outcomes, either it lands on Sector A, or it does not. The results of each spin are independent, hence, the binomial distribution is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem, we have that:
- The sectors are equal, which means that it is equally as likely to land on each, hence
.
- Saul will spin the wheel twice, hence
.
The probability that both land on A is P(X = 2), hence:


0.25 = 25% probability he will land on A on the first spin and A and the second.
You can learn more about the binomial distribution at brainly.com/question/24863377
Answer:
The correct option is D.
8π = 1/3 * π * (r)² * 6
Step-by-step explanation:
First of all to solve this problem we have to know the formula to calculate the volume of a cone
v = volume = 8π
r = radius
h = height = 6cm
π = pi
v = 1/3 * π * r² * h
we replace with the known values
8π = 1/3 * π * (r)² * 6
If we look at the options, the correct option is D.
Answer:
16
Step-by-step explanation:
-10 opposite is 10 which this \ or | means the its positive number. So 10 +6 is 16