Answer:
1 and 1/6 cups of flour
Step-by-step explanation:
We need the fractions to have common denominators so multiply 1/2 by 3 and 2/3 by 2 to get the common denominator of 6.
1/2 x 3/3 = 3/6
2/3 x 2/2 = 4/6
Add the two fractions
3/6 + 4/6 = 7/6 or 1 & 1/6
Answer:
1. C) 3
2. D) -1
3. D) 7^2 - 8*2 - 16
4. B) 75
5. B) 6^2 + (2 - 8)*sqrt(81)
Step-by-step explanation:
1. (10 - (6-4)^2)/2
= (10 - 2^2)/2
= (10 - 4)/2
= 6/2
= 3
2. PEMDAS states that Multiplication is before Subtraction
8 - (5^2-7)/2
= 8 - (25-7)/2
= 8 - 18/2
= 8 - 9
= -1
3. D) 7^2 - (8*2) - 16
= 49 - 16 - 16
= 49 - 32
= 17
4. 3(2 + 3)^2
= 3(5)^2
= 3(25)
= 75
5. 6^2 + (2 - 8)*sqrt(81)
= 36 + (-6*9)
= 36 - 54
= -18
Answer: D
Step-by-step explanation:
Use SOHCAHTOA
We are given the opposite of the angle and the hypotenuse. We can use the sine function to acquire the value of x°.
sin(x) = 7/13
Take the inverse sine on both sides by using a calculator to get:
x = 32.58°