Answer:
14. 2384 in²
15. 291.8 in²
Step-by-step explanation:
14. The total surface area consists of the area of two equal triangles and three rectangles.
The area of each triangle is 
, which is 
. The area of both triangles combined is 336 in².
The area of each of the slanted rectangles is base x height, which is 25x32=800 in². The area of both rectangles combined is 1600 in².
The area of the base rectangle is 14x32=448 in².
Therefore, to find the total surface area, you add the area of each side together: 336+1600+448=2384 in².
15. The equation for the surface area of a cylinder is 
.
The radius (r) is 4.6 in and the height (h) is 9.1 in.
Therefore, the surface area is:
in²
Answer:
amplitude = 2
Step-by-step explanation:
the amplitude is the distance from the x- axis(midline ) to the maximum value , that is
amplitude = 2
Answer:
-45 < x < 5 (see graph below)
Step-by-step explanation:
to isolate x by itself, subtract 20 from all three terms of the equation:
once you finish subtracting 20, x should be by itself, making the equation graphable:
since x is not equal to -45 or 25, the graph line endings have open circles.
Is the second paragraph meant to throw you off??? Because the answer to the question does not rely on the information based from the second paragraph...
Anyway, we know that the turtle started from (0, 0) and moved to (10, 8). Let's assume that (0, 0) is (x1, y1), and that (10, 8) is (x2, y2) for the sake of calculations.
To find how far the turtle moved to the right (along the x-axis) we take x1 from x2:
x2 - x1 = 10 - 0
= 10 = x2
***this is the "run"
To find how far the turtle moved upwards (along the y-axis) we take y1 from y2:
y2 - y1 = 8 - 0
= 8 = y2
***this is the "rise"
Notice that when something moves away from the origin the distance it traveled along the x-axis and y-axis is the same as its final position (or coordinates to where it traveled to).
Therefore, the,
slope = rise / run
= x2 / y2
= 10 / 8
= 5 / 4 (preferable for use)
= 1.25
Answer:
ab² - 9
Step-by-step explanation:
Given in the question an expression
(ab + 3)(ab - 3)
To product mentally we will use polynomial identity called
Difference of squares
<h3>a² - b² = (a+b)(a-b) </h3>
here a = ab
b = 3
(ab + 3)(ab - 3) = ab² - 3² = ab² - 9
