Answer:
1
Step-by-step explanation:
When turning remainders into mixed numbers remember Place the remainder as the numerator, or the top number, in your fraction. Put the divisor on the bottom of the fraction, or the denominator.
Proceed to check your work :)
hope this helps
For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
cups
4 ---------->
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
This is equivalent to cups.
Answer:
cups
Answer:
6x -5y = 6
Step-by-step explanation:
You can use the 2-point form of the equation of a line to find it.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (6-0)/(6-1)(x -1) +0
y = 6/5(x -1) . . . . . . point-slope form
y = (6/5)x -6/5 . . . . slope-intercept form
5y = 6x -6
6x -5y = 6 . . . . . . . standard form
Answer:
L.S = R.S ⇒ Proved down
Step-by-step explanation:
Let us revise some rules in trigonometry
To solve the question let us find the simplest form of the right side and the left side, then show that they are equal
∵ L.S = csc2α + 1
→ By using the 3rd rule above
∴ L.S = + 1
→ Change 1 to
∴ L.S = +
→ The denominators are equal, then add the numerators
∴ L.S =
∵ R. S =
∵ (sinα + cosα)² = sin²α + 2 sinα cosα + cos²α
∴ (sinα + cosα)² = sin²α + cos²α + 2 sinα cosα
→ By using the 1st rule above, equate sin²α + cos²α by 1
∴ (sinα + cosα)² = 1 + 2 sinα cosα
→ By using the 2nd rule above, equate 2 sinα cosα by sin2α
∴ (sinα + cosα)² = 1 + sin2α
→ Substitute it in the R.S above
∴ R. S =
∵ L.S = R.S
∴ csc 2α + 1 =