Answer:
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
Step-by-step explanation:
These are the steps Diego should follow to find 4 1/5 - 7/10:
Step 1: Convert all mixed numbers into improper fractions.
4 1/5 = 21/5 - 7/10
Step 2: Find a common denominator between the improper fractions. When necessary, create equivalent fractions.
21/5 = 42/10 - 7/10
Step 3: Add or subtract the numerators and keep the denominator the same.
42 - 7 = 35/10
Step 4: If the answer is an improper form, reduce the fraction into a mixed number.
35/10 = 3 5/10 = 3 1/2
<u>The result is 3 1/2 and this is the explanation why Diego must convert 4 1/5 from mixed number to improper fraction.</u>
The ladder, leaning against the building, forms a right triangle with height "a" being the distance from the ground to the window, and hypotenuse "c" being the length of the ladder.
Because it's a right triangle, we can use trigonometric ratios to find the angles we're missing.
For part A), to solve for the angle between the base of the ladder and the ground, you'll want to use sine, because we know the lengths of the opposite side and the hypotenuse.
Sin(x) = a/c , solve for angle x in degrees or radians.
For part B), finding the angle between the top of the ladder and the building, remember that the sum of the angles in a triangle is 180 degrees, or pi radians, depending on which unit your teacher prefers.
Assuming degrees, we can say that angle y = 180-90-x. You are simply subtracting the two known angles to find the third.
For part C) use the Pythagorean theorem. You're looking for the length of the base, "b". Recall:
a^2 + b^2 = c^2
Plug in the known values, and solve for b.
= 3 ⋅ 2
= 6 is the rational numbe
First we need to find the cost per chocolate bar aka the unit rate per chocolate bar
We start by taking 3$ and dividing it by 2 which gives us a total of 1.50$ each per chocolate bar
Now that we know that our unit rate is 1.50$ per bar we then do 1.50$ times 6,700 which gives us a total of 10,050$
This means that our answer is 10,050$ meaning you paid 10,050$ for 6,700 chocolate bars
