First, let x be the number of hours it will take for Hector to finish the same job alone. This means that every hour, Hector can do 1/x of the job. The amount of work done by Shawn and Hector in 6 hours should be equal to 1 complete work. This can be expressed as,
(1/9 + 1/x)(6) = 1
The value of x is 18. Thus, Hector can to 1/18 of the job in one hour.
To solve this, notice that you have the angle component (I will call this a) and the x-component (the distance of you from the building) of a trig formula, and you are looking for the y-component. We will use the tangent formula, since this incorporates the angle, x, and y components.
1. Write the formula
tan(a) = y ÷ x
2. Rewrite to include the known values.
tan(79.9) = y ÷ 100
3. Solve for the unknown variable, y.
tan(79.9) × 100 = y ÷ 100 × 100
tan(79.9) × 100 = y
4. A fancy step that I call the "flip flop."
y = tan(79.9) × 100
5. Use a calculator to find the value (make sure the calculator is in "degree" and not "radians" mode).
y = 561.3968
6. Round the number as is appropriate for this problem.
Have a great day!
Answer:
55°
Step-by-step explanation:
2 is congruent with 1
Replace x=3 so 3 squared is 9 and when u add 2 it equals 11
Answer:
C) (-8,-64)
Step-by-step explanation:
we have
we know that
If a ordered pair satisfy the linear equation, then the ordered pair is a solution of the linear equation
<u><em>Verify each case</em></u>
case A) (2,-22)
Substitute the value of x and the value of y in the linear equation and then compare the results
----> is not true
therefore
The ordered pair not satisfy the equation
case B) (7,-1)
Substitute the value of x and the value of y in the linear equation and then compare the results
----> is not true
therefore
The ordered pair not satisfy the equation
case C) (-8,-64)
Substitute the value of x and the value of y in the linear equation and then compare the results
----> is true
therefore
The ordered pair satisfy the equation
case D) (-6,2/7)
Substitute the value of x and the value of y in the linear equation and then compare the results
-----> is not true
therefore
The ordered pair not satisfy the equation
