One solution was found : t ≤ -13 (number 4)
Pull out like factors :
-3t - 39 = -3 • (t + 13)
Divide both sides by -3
Remember to flip the inequality sign:
Solve Basic Inequality :
Subtract 13 from both sides to get t≤−13
Since the dog eats 0.1 pounds of food each day for ten days, the equation to solve this is 0.1 times 10.
0.1 *10 = 1
The dog eats 1 pound of food in 10 days.
Answer:
The length of the diagonal of the rectangle is of 
units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is 
The length has coordinates at 
, so the length is 
Diagonal:
The length of the diagonal of the rectangle is of units.
This picture is a square and inside the square we can see 4 piece of a circle.
The area of a piece of a circle=1/4 (area of a circle with radius = 9 m/2=4.5 m)
Therefore:
the area of a 4 piece of a circle=area of a circle with radius=4.5 m).
Area of the shaded region=area of the square -area of a circle.
1) we compute the area of the square:
area of a square=side²
Data:
side=9 cm
Area of this square=(9 m)²=81 m².
2) we compute the area of a circle with 4.5 m of radius.
area of a circle=πr²
area of this circle=π(4.5 m)²=20.25π m²
3) we calculate the area of the shaded region:
area of the shaded region=area of the square - area of the circle
area of the shaded region=81 m²-20.25π m²≈17.38 m²
Area= about 17.38 m²
