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!
So for this, you will be dividing 9.3/3.1 and 10^34/10^17 separately.
Starting with 9.3/3.1, that equals 3
Now with 10^34/10^17, remember that the rule with dividing exponents with the same base is that you are just subtracting the exponents. In this case: 10^(34 - 17) = 10^17
Now we put the two quantities together, and your answer will be 3 x 10^17, or the second option.
Answer:
the total she earns with "d" hours of dog walking and "b" hours of babysitting is given by: 8 d + 12 b
Step-by-step explanation:
If we use "d" to represent the number of hours that Susan walks the dog, and we define "b" as the number of hours she babysits, then the expression that represents the amount she earns by walking the dog is: $8 times d = 8 d
Similarly, the amount she earns by babysitting is $12 times b = 12 b
Then the total she earns with "d" hours of dog walking and "b" hours of babysitting is: 8 d + 12 b
Step-by-step explanation:
root 3 by 4a²
root3/4*(12)²
36root3
