In order to find the length of ?? (let's call this distance x), let's first find the value of Angle A.
The cosin of Angle A is Adjacent / Hypotenuse, or 40 / 50. Using this Info:
cos (A) = 40/50
cos (A) = .8
With this crucial piece of info, we can find the Total length of A-D (Point D being the point above C), by finding its relation to side AC (length of 50 + 70 =120 ft)
Cos (A) = adjacent / hypotenuse
Cos (A) = AD / (120) We know that cos (A) = .8
.8 = AD / (120) Multiply both sides by 120
96 = AD
We're almost there! Remember that we're trying the find x (?? in the diagram).
x + 40 = 96
x = 56 ft
The cost of the slice of pizza is $1.00. this is because 3.50 - 2.50 is 1.00.
hope it helps :)
We are to determine the wages that Percy receives from working in the library and the coffee cart. We are given with the system of linear equation that would be used for the calculation,
3x + 2y = 36
2x + 5y = 50
Where x and y are the wages from the library and coffee cart, respectively.
Solving for the values of the variables will give us the values of:
x = 7.5
y = 7
Therefore, the answer to this item is that Percy earns a greater hourly wage of $7.50 at the library.
Answer:
The solution to the system of equations is y = -5 and x = -2.
Step-by-step explanation:
The question tells us to use substitution to solve the system. This means that the given value for x (in terms of y) should be substituted into the other equation. This is modeled below:
-4y - 5x = 30
-4y - 5(y+3) = 30
Next, we should use the distributive property to simplify the left side of the equation.
-4y -5y - 15 = 30
The next step is to combine like terms on the left side of the equation.
-9y - 15 = 30
Then, we can add 15 to both sides of the equation.
-9y = 45
Finally, we can divide both sides of the equation by -9.
y = -5
To find the value for x, we substitute in the value we just found for y into either of our original equations.
x = y + 3
x = -5 + 3
x = -2
Therefore, the correct answer is y = -5 and x = -2.
Hope this helps!
Answer:
13
Solution:
Using distance formula d=squarert[(x2-x1)^2+(y2-y1)^2] and plugging in the given values. You should get 13.