Answer:
2. 12.08
3. 7.74
Step-by-step explanation:
a squared + b squared = c squared
2. 5 squared = 25, 11 squared = 121, 25 + 121 = 146, the squre root of 146 is 12.08
3.19 squared = 361, 421 - 361 = 60 60 squared = 7.74
For the given sequence we have the formula:
Sₙ = 1 + (n - 1)*2
The 50th square will have 99 shaded squares.
<h3 /><h3>
How many shaded squares are on the n-th square?</h3>
Here we have a sequence:
The first square has 1 shaded squares.
the second square has 3 shaded squares.
The third square has 5 shaded squares.
And so on.
Already you can see a pattern here, each next step we add 2 shaded squares, then we can write the formula:
Sₙ = 1 + (n - 1)*2
Where S is the number of shaded squares and n is the number of the figure.
Then the 50th square will have:
S₅₀ = 1+ (50 - 1)*2 1 + 49*2 = 99
Learn more about sequences:
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X intercepts = (6/7, 0)
y intercept = (0,-6)
Answer:
-4
Step-by-step explanation:
Absolute value is the distance from one number to the next, so it can't be negative. I-7+3I is 4.
- * 4 is equivalent to -1 * 5 so the answer is -4.
The surface area of the square pyramid if the length of the sides of the base are 10 cm, and the slant height is 15 cm is 416.2 cm²
<h3>Surface area</h3>
Surface area of the square pyramid
= a² + 2a√a²/4 + h²
where,
- a = sides of base = 10 cm
- h = slant height = 15 cm
Surface area of the square pyramid
= a² + 2a√a²/4 + h²
= 10² + 2(10)√10²/4 + 15²
= 100 + 20√100/4 + 225
= 100 + 20√25 + 225
= 100 + 20√250
= 100 + 20(15.81)
= 100 + 316.2
= 416.2 cm²
Learn more about surface area:
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