Answer:
4.4
Step-by-step explanation:
x is hypotenuse of the right triangle.
One leg is 2.4 in.
Second leg = 7.4/2 = 3.7 in.
Using Pythagorean theorem
Hypotenuse²= (first leg)² + (second leg)²
x² = 2.4² + 3.7² = 19.45 in²
x=√19.45 ≈ 4.4 in
The table is:
Number of washes denoted by x: 0, 8, 12
Amount left on card denoted by y: 30, 18, 12
a. Write an equation that shows the amount of dollars left on the card
Solution:
18 – 30 divided by 8 – 0 = -12/8
On simplest form is -3/2
The equation is y = -3/2x + 30
b. Explain the meaning of the negative slope above.
As the number of car washes increase, the dollars left on the card decreases.
c. What is the maximum value of x?
0 = -3/2x + 30
2/3 x 3/2 x = 30/1 x 2/3
Cancel 2/3 x 3/2 and reduce 30 by 3 we get 10, 10 x 2
x = 20
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Ok, this is a ratio problem; the ratio of the length to width is constant (and therefore equal): 4 /6 = 15 / x Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc. Let's cross-multiply: 4x = (15)(6) x = 90/4<span> x = 22.5 in. </span>
Answer:
Step-by-step explanation:
We are given that c=6 units
We have to find the side length a and b.
We know that sum of angles of a triangle =180 degrees
Substitute the values then we get
sine law: 
