Reflex angle because straight is 180 and right is 90 and acute is less than 90
Volume = width × height × length.
First let's concentrate on the rectangular prism. This has 4 for its height and 5 for its width so you do 4 × 5 (=20) × 10 (because the length of the rectangular prism is the same as the triangular prism, so we will use the length of the triangular one) = 200m³ for the rectangular one.
To work out the triangular one, it's the same, but whatever answer you get you divide it by 2 because a triangle is just a rectangle cut in half diagonally. Therefore, 3 × 5 (=15) × 10 = 150. Then divided by 2 = 75m³.
Total volume = volume of rectangular prism + triangular prism
Therefore total volume = 200 + 75 = 275m³.
Answer:
8
Step-by-step explanation:
Solve for x:
x - 8 = 0
Hint: | Isolate terms with x to the left hand side.
Add 8 to both sides:
x + (8 - 8) = 8
Hint: | Look for the difference of two identical terms.
8 - 8 = 0:
Answer: x = 8
Answer:
1. Below 2. B. d = 8h
Step-by-step explanation:
The graph is a bit confusing. But basically, substitute x for the numbers they give you.
5x
5 · 1 = 5 = y
5 · 2 = 10 = y
5 · 3 = 15 = y
5 · 4 = 20 = y
7x
7 · 1 = 7 = y
7 · 2 = 14 = y
7 · 3 = 21 = y
7 · 4 = 28 = y
Answer:
f(-3) = g(-3)
Step-by-step explanation:
Remember points on the graph get their location from the x-axis (horizontal) and y-axis (vertical).
In function notation, "f(x)" means when "x" is the value in the brackets, what the value of "y" will be.
First option for example: f(-3) = g(4)
<em>Value of "y" for f(x) when x = -3:</em>
On the blue line, when x = -3, y = -4.
<em>Value of "y" for g(x) when x = 4:</em>
On the red line, when x = 4, y = -3.
<u>Therefore</u>:
f(-3) = g(4)
-4 = -3 <= This is false.
In the third option: f(-3) = g(-3)
<em>On f(x) blue, when x = -3: </em>y = -4
<em>On g(x) red, when x = -3: </em>y = -4
<u>Therefore</u>:
f(-3) = g(-3)
-4 = -4 <= This is true.
