Response:
0; 10; 20
Detailed explanation:
x serves as the independent variable
y functions as the dependent variable
the value of y relies on x
a) What is the independent variable value that makes the function result in −6
y=0.3x−6
-6 = 0.3x-6
0=0.3x
x = 0
Hence, when the independent variable is 0, the function yields -6.
b) What is the independent variable value for which the function equals −3
y=0.3x−6
-3 = 0.3x-6
0.3x = -3+6
0.3x = 3
x = 3/0.3
x = 10
Thus, if the independent variable is 10, the function will give -3.
c) What independent variable value results in a function of 0.
y=0.3x−6
0=0.3x-6
6 = 0.3x
x = 6/0.3
x = 20
Therefore, for an independent variable of 20, the function results in 0.
Answer:
Step-by-step explanation:
The triangle provided is a right triangle. The length of the opposite side is 244 yards, and the adjacent side measures 119 yards. To find the hypotenuse, we would utilize the Pythagorean theorem. The formula can be written as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Thus, Hypotenuse^2 = 244^2 + 119^2
Hypotenuse^2 = 59536 + 14161
Leading to Hypotenuse = √73697 = 271.5 yards.
cos θ = adjacent side/hypotenuse
cos θ = 119/271.5 = 0.4383
Calculating θ gives us θ = Cos^-1(0.4383) = 64 degrees
The remaining angle is
90 - 64 = 26 degrees
Begin by determining the overhead costs. The selling price was $240. To calculate 20% of 240, multiply 240 by 0.20, yielding 48. Consequently, the overhead expenses total $48. To figure out the profit, subtract total expenses from the selling price. Mr. Lippman's selling price was $240, he paid $160 for the dryer, and incurred $48 in overhead expenses. Thus, 240 - 160 - 48 equals 32. Therefore, the profit is $32. To determine the profit rate, divide the profit by the total expenses. 32 / (240 + 160) results in 0.08. Hence, the profit rate is 8%.
B. The correct ratio is sen α = BC/b. Step-by-step explanation: Trigonometric identities are utilized for resolving problems involving right angles. In any right-angled triangle, the side opposite to the angle is known as the opposite side, while the adjacent side runs parallel to the angle, ultimately leading to the longest side, called the hypotenuse.
