Answer:
9/16 students got a book.
Step-by-step explanation:
Number of students who went to book fair: 15/20 = 3/4
Number of students who got a book: 12/16 = 3/4
(3/4)*(3/4) = 9/16
Each of the answers given at the right talks about the fourth month. So let's compare each of the fourth month's profits.
When the month t = 4 in Company B, the company made 10 hundred (or 1000) dollars in profits.
When the month t = 4 in Company A, we evaluate the function at t = 4. To do that we put t = 4 into the function.
P(4) = 1.8(1.4)⁴
P(4) = 6.91488
Thus the company made 691.488 dollars of profit. So during the 4th month, Company B made more than A.
Each of the answers also talks about year end profits, which would be after 12 months. The function for company B is linear whereas it is exponential for A. An exponential function will grow faster in A and have higher maximum values. We can conclude that year end profits for A will be higher.
We put the statements together - that B makes in the 4th month but at year's end A will make more.
Thus, the third box is the best answer.
Answer: x=0
Step-by-step explanation: -1.2(3x-3) = 4(3x+0.9) -3.6x+3.6=12x+3.6 -3.6x-12x+12x=12x+3.x+12x -15.6x+3.6-3.6=3.6-3.6 -15.6x/-15.6=0/-15.6 x=0
By applying the Pythagorean Theorem and the Trigonometry ratio, CAH, the value of cos(M) = 4/5
<em><u>Recall:</u></em>
Trigonometry ratios, <em>SOH CAH TOA</em> can be applied to solve a right triangle.
- Pythagorean Theorem can also be applied which is: c² = b² + a², where c is the longest side (hypotenuse length).
<em><u>Given:</u></em>
ΔMNL is a right triangle
ML = 25
NL = 15
Find MN using the Pythagorean Theorem:
MN = √(ML² - NL²)
MN = √(25² - 15²)
MN = 20
To find the value of cos(M), apply the trigonometry ratio, CAH, which is:
cos ∅ = Adj/Hyp
∅ = M (reference angle)
Hypotenuse = ML = 25
Adjacent = MN = 20
cos(M) = 20/25
cos(M) = 4/5
Learn more about Trigonometry ratios on:
brainly.com/question/10417664
Ignore the height (3) and concentrate on the length and width of the bottom:
The bottom is 15 cm by 3 cm, and so the diagonal of the bottom is
sqrt(15^2 + 3^2) = sqrt(225+9) = sqrt(334).
