Answer:
83
Step-by-step explanation:
Circumference of a circle with a radius of 5 inches is 31.42 in.
You can express that by writing C <span>≈ 31.42 in.
I hope you find this answer the most helpful.</span>
Answer: hello your question is incomplete below is the complete question
The Two vectors; A = 5i + 6j +7k and B = 3i -8j +2k.
answer;
angle = 102°
Step-by-step explanation:
multiplying the vectors
A.B = |A| * |B|* cosθ
hence : Cosθ = (Ai*Bi )+ (Aj*Bj) + ( Ak*Bk/ (√A^2 *√B^2 )
= 15 - 48 + 14 /(√25+26+29) * (√9+64+4)
= -0.206448454
θ = cos^-1 ( -0.206448454) = 101.9° ≈ 102°
To figure out the percentage you got correct, we need to set up fractional proportions.
We already have one fraction, 14/20.
Since we are looking for a percentage, we need to have a maximum total percentage that represents the total score.
100% is the maximum percentage for any total.
So we have our fractional proportions set;
14/20 : x/100
To solve for this, we need to cross multiply the numerator (top number) of one fraction by the denominator (bottom number) of the other fraction.
Let's try this!
14 • 100 = 1400
20 • x = 20x
Now that we have our products, set them as an equation.
20x = 1400.
To solve for x, we need to divide both sides by 20.
20x / 20 = x
1400 / 20 = 70.
You are left with:
x = 70.
Your answer is:
If you get 14/20 on a test, you would get 70% of the questions correct.
I hope this helps!
Factor both numbers by finding every number that can be divided evenly out of the number.
The factors for 9 are: 1, 3, 9
The factors for 12 are: 1, 2, 3, 4, 6, 12
The largest factor the two numbers have in common is 3.
