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Answer:
- sin(θ) = (9√97)/97
- cos(θ) = (-4√97)/97
- csc(θ) = (√97)/9
- sec(θ) = (-√97)/4
- cot(θ) = -4/9
Step-by-step explanation:
The angle is in the 2nd quadrant, where the sine is positive and the cosine is negative.
tan^2(θ) +1 = sec^2(θ) = (-9/4)^2 +1 = 97/16 ⇒ sec = -(1/4)√97
cot(θ) = 1/tan(θ) = -4/9
csc^2(θ) = cot^2(θ) +1 = (-4/9)^2 +1 = 97/81 ⇒ csc = (1/9)√97
sin(θ) = 1/csc(θ) = (9√97)/97
cos(θ) = 1/sec(θ) = (-4√97)/97
y = 10x + 5 is the required equation.
Explanation:
A family of two to go to state fair is $25
A family of six to go to state fair is $65
So the 2 points are (2,25) and (6,65)
Rate of change = (y2-y1)/ (x2-x1)
Plugin the values, we will get,
= (65 - 25)/ (6-2)= 40/4 = 10
Equation can be written as,
(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)
(y-25)/(65-25) = (x-2)/(6-2)
(y-25)/ 40 = (x-2) / 4
4(y-25) = 40(x-2)
4y - 100 = 40x - 80
4y = 40x - 80 + 100
4y = 40x + 20
Dividing the equation by 4, we will get,
y = 10x + 5 is the equation required.
Answer:
A-$1.65
Step-by-step explanation:
You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the left over amount from subtracting the chips you get how much each hot dog is worth.
Answer:
D 3
Step-by-step explanation:
Ofcourse 3 ya correct answer is 3
The answer to A is 108 and the answer to B is multi-choice answer c.
108 and c.
