Answer:
right answer is 8cm
Step-by-step explanation:
if QM=x
so. Om=32+x
ON=64+16=80
(32+x)/x=80/16
32+x=5x
4x=32
x=8
Marcus should have substituted -10for b, not 10
Marcus should have subtracted 4(1)(25) in the square root
This equation, when solved correctly, only has one real number solution
So A, C, D
The number of terms, 'n' is 8
<h3 /><h3>How to determine the number of terms</h3>
Let's determine the common ratio;
common ratio, r = 3/1 = 3
The formula for sum of geometric series with 'r' greater than 1 is given as; Sn = a( r^n - 1) / (r - 1)
n is unknown
Sn = 3280
Substitute the value
3280 = 1 ( 3^n - 1) / 3- 1
3280 = 3^n -1 /2
Cross multiply
3280 × 2 = 3^n - 1
6560 + 1 = 3^n
6561 = 3^n
This could be represented as;
3^8 = 3^n
like coefficient cancels out
n = 8
Thus, the number of terms, 'n' is 8
Learn more about geometric series here:
brainly.com/question/24643676
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Answer:
29 ml
Step-by-step explanation:
Vcube = 1cm×1cm×1cm = 1 cm³
1 cm³ = 1 ml
If this cube is dropped into a 28ml of water the new reading will be 29 ml.
hope this helped :)
Answer:
x = 2 sqrt(3)/3
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 60 = 1 /x
x sin 60 =1
x = 1 /sin 60
x = 1 / sqrt(3)/2
x = 2 sqrt(3)/3