Answer:
The answer to your question is below
Step-by-step explanation:
Process
To answer if they are right triangles or not use the Pythagorean theorem which states that the square of the hypotenuse equals the sum of the square of the legs.
a) 25² = 20² + 7²
625 = 400 + 49
625 ≠ 449 It is not a right triangle
b) 26² = 24² + 10²
676 = 576 + 100
676 = 676 it is a right triangle
c) 13² = 8² + (√10)²
169 = 64 + 10
169 ≠ 74 it is not a right triangle
d) 52² = 48² + 20²
2704 = 2304 + 400
2704 = 2704 it is a right triangle
The value of square root 86 is between 9 and 9.5
It's pretty simple if you just read through it carefully. Here you go.
Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x ----> the number of hours landscaping
y ----> the number of hours clearing tables
we know that
she can work a maximum of 12 total
so
----> inequality A
she must earn a minimum of $120
so
----> inequality B
Solve the system of inequalities by graphing
The solution is the triangular shaded area
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities (the ordered pair lie in the shaded area of the solution set)
One possible solution is the point (10,1)
The point (10,1) lie in the shaded area
That means
The number of hours landscaping is 10 and the number of hours clearing tables is 1