Answer:
x = 67
y = 23.5
Step-by-step explanation:
Sum of angles in a triangle is supplementary,
x + 90 + 23 = 180
x + 113 = 180
x = 180 - 113
x = 67
y = ?
180 - 67 / 2
= 133 / 2
= 66.5
y + 66.5 = 90
y = 90 - 66.5
y = 23.5
Answer:
- Perimeter = 22*sqrt(2)
- Area = 60.5 inches
- D
Step-by-step explanation:
Remark
You need 2 facts.
- A square has 4 equal sides.
- It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.
That means you can use the Pythagorean Theorem.
If one side of a square is a then the 1 after it is a as well.
Formula
- a^2 + a^2 = c^2
- 2a^2 = c^2
Givens
Solution
- 2a^2 = 11^2
- 2a^2 = 121 Divide by 2
- a^2 = 121/2 Take the square root of both sides
- sqrt(a^2) = sqr(121/2)
- a = 11/sqrt(2) Rationalize the denominator
- a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
- a = 11 * sqrt(2) / 2
<em><u>Perimeter</u></em>
P = 4s
- P = 4*11*sqrt(2)/2
- P = 44*sqrt(2)/2
- P = 22*sqrt(2)
You don't need the area. The answer is D
<em><u>Area</u></em>
- Area = s^2
- Area = (11*sqrt(2)/2 ) ^2
- Area = 121 * 2 / 4
- Area = 60.5
I'm sorry!!!!
where is the x?!
Answer: an equation that represents the total costs of the gym membership based on the number of months is
y = 25x + 50
Step-by-step explanation:
Let x represent the number of months that Frank makes use of the gym at LA fitness in order to get better in shape.
Let y represent the total cost of using the gym for x months.
He has to pay a one-time enrollment fee of $50 and then membership costs $25 per month. This means that the total cist for x month would be
y = 25x + 50
First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
So, we have the following proportion:
that you can read as: "if an angle of 360 corresponds to a distance travelled of 
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
