Answer:
The diameter of the base of the cylinder is 2 cm.
Step-by-step explanation:
<u>GIVEN</u> :
As per given question we have provided that :
- ➣ Height of cylinder = 14 cm
- ➣ Curved surface area = 88 cm²
<u>TO</u><u> </u><u>FIND</u> :
in the provided question we need to find :
- ➠ Radius of cylinder
- ➠ Diameter of cylinder
<u>USING</u><u> </u><u>FORMULAS</u> :
- ➛ Csa = Curved surface area
- ➛ π = 22/7
- ➛ r = radius
- ➛ h = height
- ➛ d = diameter
<u>SOLUTION</u> :
Firstly, finding the radius of cylinder by substituting the values in the formula :
Hence, the radius of cylinder is 1 cm.
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Now, finding the diameter of cylinder by substituting the values in the formula :
Hence, the diameter of the base of the cylinder is 2 cm.
Answer:
$542
Step-by-step explanation:
we know that
The equation of a exponential decay function is given by
where
y is the value of the lawnmower
x is the time in years
a is the initial value
r is the rate of change
we have
substitute
For x=5 years
<h3>
Answer: 28</h3>
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Explanation:
Method 1
Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.
There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.
Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.
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Method 2
There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.
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Method 3
Use the nCr combination formula with n = 8 and r = 2
There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).
Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.
Answer:
I guess its the first one
Step-by-step explanation:
I think they're asking which one doesn't look like a regular shape. Tbh I have no idea
We have to present the number 41 as the sum of two squares of consecutive positive integers.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
16 + 25 = 41
<h3>Answer: 4 and 5</h3>
Other method:
n, n + 1 - two consecutive positive integers
The equation:
n² + (n + 1)² = 41 <em>use (a + b)² = a² + 2ab + b²</em>
n² + n² + 2(n)(1) + 1² = 41
2n² + 2n + 1 = 41 <em>subtract 41 from both sides</em>
2n² + 2n - 40 = 0 <em>divide both sides by 2</em>
n² + n - 20 = 0
n² + 5n - 4n - 20= 0
n(n + 5) - 4(n + 5) = 0
(n + 5)(n - 4) = 0 ↔ n + 5 = 0 ∨ n - 4 =0
n = -5 < 0 ∨ n = 4 >0
n = 4
n + 1 = 4 + 1 = 5
<h3>Answer: 4 and 5.</h3>
