Answer:
d) 12(100) + 12(80) + 12(5)
Step-by-step explanation:
According to the distributive property, if a,b, c, and d are real numbers, then
a(b+c+d)=ab+ac+ad
We want to find the product 12(185).
We can expand 185 as 100+80+5
Our product then becomes;

We expand using the distributive property to get;

The correct choice is D
Answer:
The ratio of sides in a 30-60-90 triangle is 1:√3:2. Since the shortest side is the 1 in this case the other lengths are 15√3 and 30.
25 because 4 - 3 is one, or one 25.... the answer is 25
For a vector:
cos^2(α) + cos^2(β) + cos^2(γ) = 1
From the givens:
α = π/4, therefore, cos(α) = 1/root 2 and cos^2(<span>α) = 1/2
</span>β = π/3, therefore, cos(β) = 1/2 and cos^2(<span>β) = 1/4
Substitute in the above equation:
1/2 + 1/4 + </span>cos^2(γ) = 1
cos^2(γ) = 1 - 1/2 - 1/4
cos^2(γ) = 1/4
cos(γ) is either 1/2 or -1/2
For cos(γ)= 1/2 .......> γ = <span>π/3
For </span>cos(γ)= -1/2 .......> γ = 2π/3
Answer:
Doing an additional ANOVA
Explanation:
Analysis of variance(ANOVA), developed by Ronald Fisher is a method used to statistically measure the difference between means of different variables. While the t test measures difference between two population means, analysis of variance measures the difference for more than two population means. There is the one way ANOVA and two way ANOVA that test the difference between means.