Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
I graphed it out and it seems that both A and C are correct. I would check them to make sure.
Answer:
35
Step-by-step explanation:
Let's make a system of equations for the vegetarian and chicken wraps; one for the total cost of them and one for the total amount sold.
Vegetarian wraps will be represented by variable v and chicken wraps will be represented by the variable c.
- v + 3.40c = 266.20
- v + c = 103
Subtract these equations.
Divide both sides by 2.40.
Substitute this value for c into the second equation.
Subtract 68 from both sides.
The number of vegetarian wraps sold amounted to 35 in total.
Answer:
a. Sage and Tom have the same number of talk minutes left on their cell phone plans.
b. y = x - 7
Explanation:
Sage talked for 7 minutes with her dad.
Tom talked for 4 minutes with a friend and 3 more minutes with his mom which means he spoke for :
= 4 + 3
= 7 minutes
They both spoke for 7 minutes and therefore have the same amount of time left.
Algebraic expression:
Assuming the time Tom started with is denoted by x and the time he is left with is denoted by y.
The expression is:
y = x - 7
