Answer:
B a = 180 -77-60
Step-by-step explanation:
The angles add to 180 degrees since they form a straight line
77+ 60+a = 180
a = 180 -77-60
The expression would be $0.20 x f. Once you figure out what the 'f' variable stands for, you have to multiply it by $0.20, and you will have your answer.
Answer:
Raul's errors are in the application of the distributive property(he applied it wrongly), in not respecting the precedence of operations, and in the multiplication of two terms with the same base(we add the exponent).
Step-by-step explanation:
Distributive property:
The distributive property of multiplication is:
a*(b + c) = a*b + a*c
Precedence of operations:
First multiplication, then addition.
Multiplication of terms with the same base:
The multiplication of h*h = h², which Raul missed.
The correct simplification is given by:
![-[3h + 7h(2-h)] = -[3h + 14h - 7h^2] = -[17h - 7h^2]=7h^2 - 17h](https://tex.z-dn.net/?f=-%5B3h%20%2B%207h%282-h%29%5D%20%3D%20-%5B3h%20%2B%2014h%20-%207h%5E2%5D%20%3D%20-%5B17h%20-%207h%5E2%5D%3D7h%5E2%20-%2017h)
Answer:
This ratio means for every boy there are two girls.
There are twice as many girls as there are boys. Backwards, it's there are half as many boys as there are girl.
The simplified ratio is found by reducing the ratio to the lower terms.
5/10 = 1/2
Both sides on the unsimplified ratio are division by 5. When done, it became 1/2.
By the Pythagorean Theorem:
h^2=x^2+y^2
Which just means that the hypotenuse (longest side) squared is equal to the sum of the side lengths squared...in this case:
h^2=5^2+13^2
h^2=25+169
h^2=194
h=√194
h≈13.93 in (to nearest hundredth of an inch)
Mckensey is correct as shown above.
Cara's mistake was in letting c be a side length instead of the length of the hypotenuse...
