Answer:
T must be 3/(3+1) or 3/4ths of the way between point d and f.
Take (dx, dy) and add 3/4 (fx-dx, fy-dy) by components and that will be point T (Tx, Ty)
You find the distances between d and f in x and y and then move 3/4 of that distance from d.
Step-by-step explanation:
Im not too sure, I got the answer from my last test. It might be wrong
Answer:
She needs 301.8 in² of tissue paper.
Step-by-step explanation:
In order to calculate the amount of tissue paper she needs to make 21 hats, we need to find the area of each hat and multiply it by the total number of hats she wants to make.
Since the Vietnamese conical hats are hollow and don't have a base, we need to find the area of the it's lateral walls, this is given by the following expression:
lateral area = pi*r*l
r = d/2 = 16/2 = 8 in
We were given the height, but we need the slant height, therefore:
l = sqrt(r² + h²) = sqrt(8² + 9²) = sqrt(64 + 81) = sqrt(145) = 12.041 in
Then the lateral area is:
lateral area = pi*8*12.0141 = 301.8 in²
She needs 301.8 in² of tissue paper.
Answer:
20 ton
Step-by-step explanation:
We created a system of two separate equations to answer these questions.
"y" will be the total cost to transport the sugar
"x" will be the amount of sugar transported
Therefore, we have to:
y = 3995 + 225.50 * x
y = 6500 + 100.25 * x
We must establish these equations equal to each other because it asks how much of x is necessary to make the same amount of y, therefore:
3995 + 225.50 * x = 6500 + 100.25 * x
solved we have:
225.50 * x - 100.25 * x = 6500 - 3995
125.25 * x = 2505
x = 2505 / 125.25
x = 20
which means that when the amount of sugar transported is 20 tons, the price is the same
The geometric sequence is found in the relationship between consecutive terms that is constant.
In this problem, as I understand it, none of the functions forms a geometric sequence.
The functions that form a geometric sequence have the form
f (x) = h (a) ^ n where "a" is the constant relation between the successive terms.
If you wrote the function "f (x) = - 2 (3/4) x", you wanted to write instead:
f (x) = - 2 (3/4) ^ x
So that would be the function that forms a geometric sequence, where the relation between the consecutive terms is 3/4.
You can test it by dividing f (x) / f (x-1)
Then you will see that the result of that division will be 3/4.
Answer:
820 ounces
Step-by-step explanation:
$2,460 divided by 3 = 820 ounces
820 x 3 = $2,460
