Answer:
5>c<_ -2
c can be 4 ,3 ,2 ,1 ,0 ,-1 ,-2
No. It's the ratio of 1,289 to 100 .
Also, it can be written as a fraction with whole numbers
on top and bottom, like this: 1289 / 100 .
Also, it can be written down on paper completely, using
digits and a decimal point or fraction bar. (You did that.)
Any one of these three facts makes it a rational number.
Opposite over hypotenuse
1400/3500=0.4=40 degrees
I believe that is the answer
The answer is 25. To check 10/.4 is 25 and 0.4 equals to 2/5
<h3>
Answer: AC = sqrt(21)/2</h3>
====================================================
Explanation:
Triangle CDA is congruent to triangle CDB. We can use the HL (hypotenuse leg) congruence theorem to prove this. This only works because we have two right triangles.
Since CDA and CDB are congruent, this means their corresponding pieces are the same length. Specifically AD = DB, so
AD+DB = AB
AD+AD = 3
2*AD = 3
AD = 3/2 = 1.5
For triangle CDA, we have AD = 3/2 = 1.5 and CD = sqrt(3). We can use the pythagorean theorem to find the missing side AC
a^2 + b^2 = c^2
(AD)^2 + (CD)^2 = (AC)^2
(3/2)^2 + (sqrt(3))^2 = (AC)^2
9/4 + 3 = (AC)^2
(AC)^2 = 9/4 + 3
(AC)^2 = 9/4 + 12/4
(AC)^2 = 21/4
AC = sqrt(21/4)
AC = sqrt(21)/sqrt(4)
AC = sqrt(21)/2
This is the same as writing (1/2)*sqrt(21) or 0.5*sqrt(21)