Answer:
112.5 square feet
Step-by-step explanation:
The scale model is 6 x 3 and the actual patio is 15 x W
By the definition of a scale model,
15/6 = W/3
15 = 2W multiply both sides by 6
15/2 = W divide both sides by 2
Area of the patio = length * width
Area = 15 feet * 15/2 feet = 225/2 square feet = 112.5 square feet
Answer:
Option B is correct.
the measure of ∡P is, 35.9°
Step-by-step explanation:
Using sine ratio:
....[1]
As per the statement:
In the given diagram △PQR:
Opposite side = QR = 33.8 units
Hypotenuse Side = PR = 57.6 units
Substitute in [1] we have;
⇒
Simplify:
degree
Therefore, the measure of angle P is, 35.9°
9514 1404 393
Answer:
x = 2, y = 10, sides = 15
Step-by-step explanation:
The hash marks tell you all of the sides are the same length. You can use this fact to relate the side length expressions to each other to solve for the variables.
We see that x appears in the left and right expressions only. So we can find x by setting those expressions equal to each other.
8x -1 = 4x +7
4x = 8 . . . . . . . . . . . . . add 1-4x to both sides of the equation
x = 2 . . . . . . . . . . . . . . divide by 4; the value of x
8x -1 = 8(2) -1 = 15 . . . the length of the sides
Now, we can find y using an expression that involves y. The top expression is the simplest:
y +5 = 15 . . . . . the length of the side we just found
y = 10 . . . . . . . subtract 5
The variable values are ...
x = 2
y = 10
The side lengths are 15.
The solution to the system of equations is given as follows:
x = 1 and x = 3.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the two equations are:
Applying cross multiplication:
(x - 2)(x - 2) = 1
x² - 4x + 4 = 1
x² - 4x + 3 = 0
(x - 1)(x - 3) = 0
Hence the solutions are:
More can be learned about a system of equations at brainly.com/question/24342899
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