Answer:
Kami sold 28 large figurines
Step-by-step explanation:
L = number of large figurines
S = number of small figurines
L+S = 70 since he sold 70 figurines
12L = 8S since the amount of money collected for the large figurines is equal to the amount of money for the small figurines
L+S = 70
12L = 8S
Divide by 8
12/8 L = S
3/2 L = S
Substitute this into the first equation
L+S = 70
L + 3/2 L = 70
Get a common denominator
2/2 L + 3/2L = 70
5/2 L = 70
Multiply each side by 2/5
2/5 * 5/2 L = 70 * 2/5
L = 28
Kami sold 28 large figurines
Answer:
-1
Step-by-step explanation:
fill 6 into f first, then plug the value of that to g
Y - y1 = m(x - x1)
Where y1 is the y-value of the point, x1 is the x-value and 'm' is the slope.
y - 8 = -1.2(x - 7)
Distribute -1.2 into the parenthesis:
y - 8 = -1.2x + 8.4
Add 8 to both sides:
y = -1.2x + 16.4
The magnitude and the direction of the <em>resulting</em> vector is 3 and 0°, respectively.
<h3>Procedure - Determination of a vector by subtraction</h3>
Let assume that angles are in standard position. According to the statement, we have following model for the direction of the <em>resulting</em> vector in terms of the vectors known in statement:
(1)
Where is the resulting vector.
If we know that , and , then we have the following expression:
Then we have the following system of linear equations:
(2)
(3)
By (3):
By (2):
Hence, the magnitude and the direction of the <em>resulting</em> vector is 3 and 0°, respectively.
To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/13188123
9514 1404 393
Answer:
(3) 35·cos(57°)
Step-by-step explanation:
The relevant trig relation is ...
Cos = Adjacent/Hypotenuse
For the given triangle, this is ...
cos(57°) = QR/QS
Multiplying by QS gives ...
QS·cos(57°) = QR
Filling in the value of QS, we have ...
QR = 35·cos(57°)