Answer:
15 equations
Step-by-step explanation:
Let
Number of equations in the homework = x
There is only a one-word problem
y = amount of time used to solve the word problem
She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,
Total = 3x + y
52 = 3x + 7
Subtract 7 from both sides
52 - 7 = 3x + 7 - 7
45 = 3x
Divide both sides by 3
x = 45 / 3
= 15
x = 15 equations
Therefore, she solved 15 equations
Answer:
244 cm³
Step-by-step explanation:
Step 1: Given data
Height of the prism with a pentagonal base (h): 8 cm
Area of the pentagonal base (A): 30.5 cm²
Step 2: Calculate the volume of the prism with a pentagonal base
We have a regular pentagonal prism, that is, the 5 sides of the base are equal and we know the area of the base and the height of the prism. We can calculate its volume using the following expression.
V = A × h
V = 30.5 cm² × 8 cm = 244 cm³
(csc x-1)(csc x+1)=csc²x-1²=csc²x-1=(1/sin x)² -1=1/sin x² - sin²x/sin²x=
=(1-sin²x)/sin² x = cos² x/ sin² x = (cos x/sin x)²= (cot x)²
Answer:
C.-1.6
Step-by-step explanation:
distance: -1 - (-2) = 1
1 ÷ 5 = 1/5
-1 - 1/5 × 3 = -1 3/5 = -1.6
