Answer:
11.55
Step-by-step explanation:
An equilateral triangle is one which all it sides are equal.
10cm altitude means the height is 10cm.
Using Pythagoras theorem,
x² = 10² + (x/2)²
Assume that the side of the triangle is xcm
x² - x²/4 = 100
3x²/4 = 100
x = √(400/3)
x = 11.55cm
To find the volume multiply all 3 numbers together.
2 1/2 x 1 1/2 = 3 3/4
3 3/4 x 3 = 11 1/4
The volume is 11 and 1/4 cubic units
Answer: 162 in²
Step-by-step explanation:
The factors of 54 are listed below:
18 and 9 are the two factors that when plugged into the equation below, equals 54:

This can also be written as:

So now that we have our two factors, we need to multiply them by each other to get our answer.
18 times 9 = 162
Our answer is 162
Answer:
The confidence interval is (24116.3878,24883.6122).
Step-by-step explanation:
We are given the following information in the question:
Population mean,
= $23,500
Sample mean,
= $24,500
Sample standard deviation,s = $2,800
Sample size, n = 146
Confidence interval:
Putting the values, we get,
The confidence interval is (24116.3878,24883.6122).
You can solve this problem by applying the proccedure below:
You have:
a) 18/21=2/3
18x3/21x2
36≠42 (2/3 is not proportinal to 18/21).
b)18/21=30/35
18x35/21x30
630=630 (30/35 is proportional to 18/21)
c)18/21=36/48
18x48/21x36
864≠756 (36/48<span> is</span><span> not proportinal to 18/21)
</span>
d)18/21=1/3
18x3/21x1
54≠21 (<span> 1/3 is</span><span> not proportinal to 18/21)
</span>
Therefore, you can conclude that the correct option is: B.30/35