3 is the chord.
a chord lies inside a circle and does not continue outside of it.
P of triangle = a + b = c = 90
<span>ratio 3:4:5
so a = 3x, b = 4x , c = 5x
3x + 4x + 5x = 90
12x = 90
x = 90/12 = 7.5
a = 3x = 3 * 7.5 = 22.5
b = 4x = 4 * 7.5 = 30
c = 5x = 5 * 7.5 = 37.5
Answer:
1st side = 22.5
2nd side = 30
3rd side = 37.5
Double check: 22.5 + 30 + 37.5 = 90 (perimeter)</span>
Answer:
CE = 3
Step-by-step explanation:
Given:
AE = 3
EB = 4
CE = x
ED = x + 1
Required:
CE
Solution:
First we need to determine the value of x by generating am equation as follows:
CE × ED = AE × EB (Interacting Chords Theorem)
Substitute
x × (x + 1) = 3 × 4
x² + x = 12
Subtract 12 from each side
x² + x - 12 = 12 - 12
x² + x - 12 = 0
Factorize to find the value of x
x² + 4x - 3x - 12 = 0
x(x + 4) -3(x + 4) = 0
(x - 3)(x + 4) = 0
x - 3 = 0
x = 3
Or
x + 4 = 0
x = -4
Let's use the positive value of x
CE = x = 3
Answer:
a,b,d,f
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask :)
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
