Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin Z = =
=
, thus
Z = (
) ≈ 23.6° ( to 1 dec. place )
A water dispenser has the capacity of 25,000 milliliters. What is the capacity in liters
1 answer:
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Hey!
To solve this equation, we must first convert the mixed numbers into improper fractions. To do that we'll multiply the denominator by the whole number and add the total to the numerator.
<em>Original Equation :</em>
<em>New Equation {Converted Mixed Numbers Into Improper Fractions} :</em>
Now that we've successfully changed our equation, we'll move onto the next step. Next we'll have change the fractions one more time so that the denominators are the same. To do that we'll multiply two by eight to get sixteen. We'll also be multiplying the top portion of the fraction by eight, because whatever you do to the bottom must also be done to the top; And vise versa.
<em>Fraction Conversion :</em>
So, now that we have our new fraction we can go ahead and plug that into our equation so we can start adding. Remember, we don't add the denominators, just the numerators.
<em>Old Equation :</em>
<em>New Equation {Input New Fraction With Common Denominator} :</em>
<em>Solution {New Equation Solved} :</em>
Now I'm not exactly sure how your instructor will accept your answer, but most prefer the final answer to be in the simplest form. In other words, they don't want it in the form of an improper fraction. They'd most likely rather have it as a mixed number.
<em>New Solution {Converted to a Mixed Number} :</em>
Since the fraction cannot be simplified anymore, this should be our final answer.
<em>So, this means that the answer to the equation is </em> .
Hope this helps!
- Lindsey Frazier ♥
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = =47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53