The graph will be discrete because there is no such thing as a partial person to sign up and the booth is set up once each day for sign ups. So the last answer choice is the right one
Answer:
A. 70
Step-by-step explanation:
You can use the transversals and use vertical angles are congruent.
Answer:
Area pf the regular pentagon is 193
to the nearest whole number
Step-by-step explanation:
In this question, we are tasked with calculating the area of a regular pentagon, given the apothem and the perimeter
Mathematically, the area of a regular pentagon given the apothem and the perimeter can be calculated using the formula below;
Area of regular pentagon = 1/2 × apothem × perimeter
From the question, we can identify that the value of the apothem is 7.3 inches, while the value of the perimeter is 53 inches
We plug these values into the equation above to get;
Area = 1/2 × 7.3× 53 = 386.9/2 = 193.45 which is 193 to the nearest whole number
9514 1404 393
Answer:
x = 10·cos(θ) -4·cot(θ)
Step-by-step explanation:
Apparently, we are to assume that the horizontal lines are parallel to each other.
The relevant trig relations are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
If the junction point in the middle of AB is labeled X, then we have ...
sin(θ) = 4/BX ⇒ BX = 4/sin(θ)
cos(θ) = x/XA ⇒ XA = x/cos(θ)
Then ...
BX +XA = AB = 10
Substituting for BX and XA using the above relations, we get
4/sin(θ) +x/cos(θ) = 10
Solving for x gives ...
x = (10 -4/sin(θ))·cos(θ)
x = 10·cos(θ) -4·cot(θ) . . . . . simplify
_____
We used the identity ...
cot(θ) = cos(θ)/sin(θ)
Answer:
120 = 15x + 45 5 hours of lessons
Step-by-step explanation:
120 is total money so that goes on one side.
45 is a one-time cost so it is on its own.
15 per hour is another cost but this one depends on a variable so it has an x.
X represents the number of hours.
You put this together to from the equation: 120 = 15x + 45.
Subtract 45 from both sides: 75 = 15x
Divide 15 from both sides: 5 = x.
X = hours so 5 hours
