Vsphere=(4/3)pi times r^3
r=radius
given that r=2
v=(4/3)pi2^3
v=(4/3)pi8
v=32/3pi cubic inches
about 10.66666pi cubic inches or hmm, roughly 31 cubic inches (guestimated in head)
The balloon’s vertical distance above the ground is 570.3 feet
<h3>Angle of elevation and depression</h3>
Given the following parameters
The angle of depression = 36 degrees
Base distance = 785 feet
<h3>Required</h3>
vertical distance above the ground (H)
Using the SOH CAH TOA identity
tan 36 = H/785
H = 785tan36
H = 570.3 feet
Hence the balloon’s vertical distance above the ground is 570.3 feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer: 24.9793
Step-by-step explanation:
Given : The director randomly selects 64 different 24-hour periods and determines the number of admissions for each.
For this sample, he calculated a mean and a standard deviation of 100.
The 95% confidence interval results in an interval of
We know that the confidence interval for population mean is given by :_
, where E is the margin of error.
By comparing this to the given interval , we find that the margin of error = 24.9793
Answer:
#1: No #2: Yes #3: Yes #4: Yes
Answer:
<h3><u>Question 7</u></h3>
<u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).
<u>Total Surface Area</u>
Area of the isosceles triangle:
Total surface area:
<u>Volume</u>
<h3><u>Question 8</u></h3>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).
<u>Total Surface Area</u>
Area of a pentagon:
where a is the side length.
Therefore:
Total surface area:
<u>Volume</u>