Answer:
8 hours
$480
Step-by-step explanation:
Let us assume the hours be x
There should be two equations
For Plumber A = 60x
For Plumber B = 40 + 55x
Now in order to considered the cost to be the same we equate these two equations
60x = 40 + 55x
5x = 40
x = 8 hours
Now the total cost for plumber A is
= 480
And, the total cost for plumber B is
= 40 + 55(8)
= 480
hence, the total cost is $480
Answer:
Area of shape = 120 m²
Step-by-step explanation:
Given:
Height of triangle joint = 4 m
Base = 12 m
Width = 8 m
Find:
Area of shape
Computation:
Area of shape = Area of triangle + Area of rectangle
Area of shape = (1/2)(Base x height) + [Base x Width]
Area of shape = (1/2)(12 x 4) + [12 x 8]
Area of shape = 24 + 96
Area of shape = 120 m²
Answer:
A
Step-by-step explanation:
7(x - 2) < -5
7x - 14 < -5
7x < 9
x < 9/7
Answer:
- Yes it is a right triangle
- The side lengths satisfy the Pythagorean theorem equation
Step-by-step explanation:
We can test these numbers to see if they satisfy the Pythagorean theorem equation:
15² = 9² + 12²
225 = 81 + 144 . . . . true
Since the numbers satisy the Pythagorean theorem relation, they belong to a right triangle.
____
You can recognize that the ratio of side lengths is ...
9 : 12 : 15 = 3 : 4 : 5
Further, you can recognize that the side lengths 3, 4, 5 belong to the right triangle with the smallest integer side lengths that satisfy the Pythagorean theorem. Hence the 9 : 12 : 15 triangle is similar (by a scale factor of 3) to a right triangle, thus is a right triangle.
Answer:
(D)144.8 feet
Step-by-step explanation:
Given the equation which models the path of the baseball
where x is the horizontal distance, in feet, the ball travels and y is the height, in feet, of the ball.
To determine how far from the batter the ball will land, we determine the distance x at which the height, y=0.
We use the quadratic formula to solve.
In the quadratic equation above, a=-0.005, b=0.7, c=3.5
Since x cannot be negative, x=144.8 feet to the nearest tenth of a foot.
<u>The correct option is D.</u>