Answer:
1:3
Step-by-step explanation:
4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.
B because it can't be c or d and also it makes more sence
Answer:
<em>Answer is option d</em><em> </em>
<em>Answer is </em><em>given below with explanations</em><em>. </em>
Step-by-step explanation:
We can prove that the two triangles are similar.
We can prove this using AA criterion of similarity.
In triangle DNC and triangle QSC
Vertically opposite angles are equal.
Then Angle QCS = Angle DCN
Two parallel lines cut by a transversal line make the alternate angles are equal.
Then Angle NDC = Angle CQS
By AA criterion of similarity
TRIANGLE DNC ~ TRIANGLE QSC
<em>HAVE A NICE DAY</em><em>!</em>
<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>
Answer:
Solutions are 2, -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
or 2, -1 + 1.58 i and -1 - 1.58i
(where the last 2 are equal to nearest hundredth).
Step-by-step explanation:
The real solution is x = 2:-
x^3 - 8 = 0
x^3 = 8
x = cube root of 8 = 2
Note that a cubic equation must have a total of 3 roots ( real and complex in this case). We can find the 2 complex roots by using the following identity:-
a^3 - b^3 = (a - b)(a^2 + ab + b^2).
Here a = x and b = 2 so we have
(x - 2)(x^2 + 2x + 4) = 0
To find the complex roots we solve x^2 + 2x + 4 = 0:-
Using the quadratic formula x = [-2 +/- sqrt(2^2 - 4*1*4)] / 2
= -1 +/- (sqrt( -10)) / 2
= -1 + 0.5 sqrt10 i and -1 - 0.5 sqrt10 i
The ratio of x and 2=x:2
not greater than is <
So I'd say the answer would be x:2<14
