Answer:
l=10 cm
Step-by-step explanation:
In a rhombus, the diagonals are cut into identical lines at the intersection.
This way, I found the measures of the halves of the diagonals in a right triangle, knowing that the diagonals of the rhombus are perpendicular on each other.
I calculated that AO = AC/2= 8, and that BO=BD/2= 6, and then I applied pytagora's theorem in a quarter of the rhombus, which is the right triangle AOB, to find the length of a side
Answer:
25.4, 28.6
Step-by-step explanation:
Given parameters
sample size, n = 24
sample mean, X = 27
population standard deviation, s = 3
critical value, Zα/2, where α = 0.01
99% confidence Interval, CI, is given as follows
CI = X ± Zα/2 × (s/√n)
Zα/2 = Z0.01/2 = Z0.005 = 2.576
CI = 27 ± 2.576 × (3/√24)
= (25.42 ,28.57)
Answer:
134
Step-by-step explanation:
let me know if you need an explanation! :D
There are many ways you can write a ratio. They're all basically the same thing, though. 5:9, 5 to 9, and 5/9 (which is a fraction) are all just different ways to write ratios.
We are given expression:
.
Square root in exponent form is power
.
Therefore,
.
Now, replacing square root of 16 by
in original expression we are given, we get
.
Therefore,
<h3>

= 16 in simplest form. By the Power of Power rule,

. So,

must equal

in radical form.</h3>