40
Or at least that what my calculator says.
Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to

step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute


step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute


step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute


step 4
Compare the slopes
Blue line ----> 
Red line ----. 
Green line ---> 
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Step-by-step explanation:

You need to remember the properties of exponents: multiplication adds the exponents, division subtracts the exponents.
If you multiply two powers with the same base, the result will be the base to the sum of the powers.
If you divide two powers with the same base, the result will be the base to the difference of the powers.
In your case you will this:

That is:

Or:

The area of the base would be found using the area of a triangle formula which is 1/2 x base x height.
The base and height are the two sides perpendicular to each other, which are both 5 inches.
The area of the base = 1/2 x 5 x 5 = 12.5 square inches.
The volume of the triangular prism is the area of the base times the height, which is 4 inches.
Volume of the triangular prism is 12.5 x 4 = 50 cubic inches.
Volume of the triangular prism is 1/3 x area of base x height, which is 7:
Volume of the triangular prism = 1/3 x 12.5 x 7 = 29.17 cubic inches.
Total volume = 29.17 + 50 = 79.17 cubic inches.
Answer:
There is a $12.00 fee just to enter the park. ... In addition, the tour group charges $0.23 per mile they hike. She brought $35.00 with her. Which equation can be used to determine how many miles can she hike? ... 1. Brainly User. Let, the miles she can travel = d. So, Equation would be: 12.00 + 0.23d = 35.00
Step-by-step explanation: