Answer:
11 gallons of paint Jay needed for the inside
.
Step-by-step explanation:
Consider the provided information.
Let x is the quart of paint Jay needed for the outside.
Let y is the quart of paint Jay needed for the inside
.
Jay needs 19 quarts more paint for the outside of his barn than for the inside.
He uses 107 quarts in all,
Substitute the value of x in above equation.
Hence, 44 quarts of paint Jay needed for the inside
.
But we need to find how many gallons of paint will be used to paint the inside of the barn.
So convert 44 quarts into gallon.
1 quarts = 0.25 gallon
1×44 quarts = 0.25×44 gallon
44 quarts = 11 gallon
Hence, 11 gallons of paint Jay needed for the inside
.
Sorry about the eraser marks. Hopefully this helps!!
Answer:
No, with the guides in between the two ladders, it is not possible for the lower ends of the ladder to be up to 12 feet apart
Step-by-step explanation:
The given parameters are;
The length of two sides of the step ladder = 12 feet
The maximum value allowable for the included angle between the two 12 feet ladders = 58°
Therefore, the maximum value of the third side facing the included angle is given as follows;
let "a" represent the maximum value of the third side formed by the distance apart of the lower end of the ladder, by cosine rule, we have;
a² = 12² + 12² - 2 × 12 × 12 × cos(58°) = 135.383251901
∴ a = √(12² + 12² - 2 × 12 × 12 × cos(58°)) ≈ 11.64
The maximum value of the third side formed by the distance apart of the lower end of the ladder = a ≈ 11.64 feet < 12 feet
Therefore, it is not possible for the lower ends of the ladder to be up to 12 feet apart.
<u>Answer-</u>
<em>Equation 1</em><em> is the equation which represents the graph.</em>
<u>Solution-</u>
From the graph it can be noticed that, the function is a hyperbola. It is a rectangular hyperbola.
The general form of rectangular hyperbola is,
Where c is a constant.
Equation 1 represents a function of rectangular hyperbola, with vertical asymptote as x=-2 .
Equation 2 represents an exponential function.
Equation 2 represents an cubic function.
Equation 2 represents logarithmic function.
Therefore, equation 1 is the equation which represents the graph.
Answer:
n = 40
Step-by-step explanation:
n - 12 = 28
add 12 to both sides to remove the negative 12
n = 28 + 12
n = 40
