Answer:
i want to say three
Step-by-step explanation:
The value of a and b from the coordinates are 3 and 5 respectively
<h3>Midpoint of coordinates</h3>
The formula for finding the midpoint of two coordinates is expressed as;
M(x, y) = {x1+x2/2, y1+y1/2}
Given the following coordinates
M(a, 4)
A(1,3)
B(5,b)
Using the formula
a = 1+5/2
a = 6/2
a = 3
Similarly
4 = 3+b/2
8 = 3+b
b = 8-3
b = 5
Hence the value of a and b from the coordinates are 3 and 5 respectively
Learn more on midpoint here: brainly.com/question/18315903
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Answer:
100 beats per minute
Step-by-step explanation:
If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.
To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:
28.8 secs = 48 beats
60 secs = x beats
Cross multiply
28.8*x = 60*48
28.8x = 2,880
Divide both sides by 28.8
x = 2,880/28.8
x = 100
✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM
Step-by-step explanation:
The simplest method is "brute force". Calculate each term and add them up.
∑ = 3(1) + 3(2) + 3(3) + 3(4) + 3(5)
∑ = 3 + 6 + 9 + 12 + 15
∑ = 45
∑ = (2×1)² + (2×2)² + (2×3)² + (2×4)²
∑ = 4 + 16 + 36 + 64
∑ = 120
∑ = (2×3−10) + (2×4−10) + (2×5−10) + (2×6−10)
∑ = -4 + -2 + 0 + 2
∑ = -4
4. 1 + 1/4 + 1/16 + 1/64 + 1/256
This is a geometric sequence where the first term is 1 and the common ratio is 1/4. The nth term is:
a = 1 (1/4)ⁿ⁻¹
So the series is:
5. -5 + -1 + 3 + 7 + 11
This is an arithmetic sequence where the first term is -5 and the common difference is 4. The nth term is:
a = -5 + 4(n−1)
a = -5 + 4n − 4
a = 4n − 9
So the series is:
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:
Hope this helps!
