The ladder makes 79.92 degrees of angle with the ground (Calculation: Cos A = 7/40 = 0.175 resulting A = ACos 0.175 = 79.92 degrees). This problem can be solved by using a simple trigonometry formula of Cosine which stated Cos A = Adjacent/Hypotenuse. The ladder length of 40 feet is the hypotenuse side of the triangle and the 7 feet distance between the ladder's foot and the wall is the adjacent side<span>. </span>
Answer:
7/11
Step-by-step explanation:
Let X equal the decimal number
Equation 1:
X=0.63¯¯¯¯¯
With 2 digits in the repeating decimal group,
create a second equation by multiplying
both sides by 102 = 100
Equation 2:
100X=63.63¯¯¯¯¯
Subtract equation (1) from equation (2)
100XX99X===63.63...0.63...63
We get
99X=63
Solve for X
X=6399
Find the Greatest Common Factor (GCF) of 63 and 99, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 9,
63÷999÷9=711
Therefore
X=711
In conclusion,
0.63¯¯¯¯¯=711
used
https://www.calculatorsoup.com/calculators/math/decimal-to-fraction-calculator.php
Answer:
C. 2.3 repeated
Step-by-step explanation:
1/3 doesn't equal a (what you could say is) regular decimal. It repeats because it does not evenly go into 10 or 100
Answer:
a. Kito has been billed correctly
Step-by-step explanation:
We simply need to check Kito's work to see if his price is accurate.
First, we can add the prices together to find the price before the sales tax is applied: 39.99 + 24.99 + 26.99 = $91.97
We can use this formula to figure out the total cost, C, after the sales tax, t is added:
C = l + (l * (t / 100)), where l = the price before applying the sales tax
C = 91.97 + (91.97 * (6 / 100)) = 97.4882 = $97.49
We know that the total cost lies between the 50 and 100 and that Kito chose the express shipping. Thus we add: 97.49 + 8.20 = $105.69.
If we did not round before, we would still get the same answer when rounding: 97.4882 + 8.20 = 105.6882 = $105.69
