Answer:
4/16
Step-by-step explanation:
You ate 4 slice of the 16 slice pizza
Answer:the height of the balloon is 670.244 feet
Step-by-step explanation:
The right angle triangle BLD represents the scenario.
h represents the height of the balloon.
We would apply trigonometric ratio to determine h.
Tan # = opposite side/adjacent side
Looking at triangle LCD,
# = 61 degrees
h = opposite side
x = adjacent side
Tan 61 = h/x
1.7321 = h/x
h = 1.7321x
Looking at triangle LBD,
# = 54 degrees
h = opposite side
x + 100 = adjacent side
Tan 54 = h/x + 100
1.3764 = h/x + 100
h = 1.3764(x + 100)
Therefore,
1.7321x = 1.3764(x + 100)
1.7321x = 1.3764x + 137.64
137.64 = 1.7321x - 1.3764x
137.64 = 0.3557x
x = 137.64/0.3557 = 386.955
h = 1.7321x = 386.955 × 1.7321
h = 670.244 feet
Answer:
.
Step-by-step explanation:
Formula : Probability = ![\dfrac{\text{favorable outcomes}}{\text{Total outcomes}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7Bfavorable%20outcomes%7D%7D%7B%5Ctext%7BTotal%20outcomes%7D%7D)
From the given frequency distribution for the class level of students in an introductory statistics course, we have
Number of Junior= 12
Number of Senior = 7
Total students = 6+16+12+7 = 41
Probability that the first student obtained is a junior = ![\dfrac{12}{41}](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B41%7D)
Probability that the the second student obtained is a senior. ![=\dfrac{7}{41-1}=\dfrac{7}{40}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B7%7D%7B41-1%7D%3D%5Cdfrac%7B7%7D%7B40%7D)
Then, the probability that the first student obtained is a junior and the second a senior would be ![\dfrac{12}{41}\times\dfrac{7}{40}=\dfrac{21}{410}](https://tex.z-dn.net/?f=%5Cdfrac%7B12%7D%7B41%7D%5Ctimes%5Cdfrac%7B7%7D%7B40%7D%3D%5Cdfrac%7B21%7D%7B410%7D)
Hence, the required probability is
.
Try using socratic that will help too
Find the area of the base
.
Multiply area of the base by height to get volume
![V=20\cdot64\pi=4021.24](https://tex.z-dn.net/?f=V%3D20%5Ccdot64%5Cpi%3D4021.24)
Hope this helps.