Answer:
A) B is greater
B) when C = 21, A = 5 and B = 15
C) A must be 0, 5, or 12 for C to be greater than B
Step-by-step explanation:
A) when a = -3, c = -20 and b = 4(-3)-5 so B = -17
B) when c = 21, a = 5 and b = 4(5)-5 so B = 15
C) C is greater than B when a = 0, 5, and 12
when a = 0, b = 4(0)-5 or -5
when a = 5, b = 4(5)-5 or 15
when a = 12, b = 4(12)-5 or 43
Answer:
24 in²
Step-by-step explanation:
Hello there!
the figure shown is a triangular prism
The base is the triangle
So we need to find the area of the triangle using this formula

where b = base and h = height
The base (triangle) has a base length of 8 inches and a height of 6 inches
Having found the information we needed, we plug it into the formula
So

So the area of the base is 24 in²
Answer:
Step-by-step explanation:
two birthday gifts n each costs $12.50 so 12.50x2 = $25
sales tax was 6.75% on $25 = 25x6.75/100 = $1.69
total cost including tax = 25+1.69 = $26.69
Answer:
tan 5π/24.
Step-by-step explanation:
We use the identity:
tan (A - B) = (tan A - tan B) / (1 + tan A tan B)
so the first expression simplifies to
tan ( π/3 - π/8)
= tan 5π/24.
Answer:
1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.
2 . An equation containing more than one variable is a literal equation.
3 . A statement formed by two or more inequalities is a compound inequality.
Step-by-step explanation:
A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0, Ax + By + C is less than 0.
A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.
A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.