(Will give Brainliest, these are angle relationships) Please help, and show work, what relationship is it and set up an equation
for it and then solve. Ty :)
2 answers:
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Answer:
a
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = πr²h ( r is the base radius and h the perpendicular height )
To calculate the height h use the right triangle formed by the radius and the inclined side.
Given diameter = 22, then r = 22 ÷ 2 = 11 cm
Using Pythagoras' identity on the right triangle, then
h² + 11² = 61² , that is
h² + 121 = 3721 ( subtract 121 from both sides )
h² = 3600 ( take the square root of both sides )
h = = 60
Thus
V = π × 11² × 60
= 3.14 × 121 × 60 ≈ 22796.4 cm³ → a
Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
In which z is related to the confidence level, is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
The question is an illustration of scale drawing
The character have to travel 8.5 km in the game to visit all three destinations and return to their starting point
<h3>How to calculate the actual distance</h3>The distance on the map are given as:
A =2 cm
B = 8 cm
C = 7 cm
The total distance on the map would be:
The actual distance between the store and the dungeon is 4 kilometers.
This means that:
So, we have:
Represent the required actual distance with x.
So, we have:
Express as fraction
Multiply both sides by 17
Hence, the actual distance travelled is 8.5 km
Read more about scale drawing at: