The slope of the graph is -40/2 or -20 when simplified. This slope means that the fuel in your truck decreases as you drive it.
Take the expression x^2/3 which has an exponent of 2/3. The top of the fraction refers to the power - that is x^2 ( x squared). and the 3 indicates a cubic root.
So in radical form it is ∛(x^2)
Converting radical to exponent an example would be
∛(x^5) = x^(5/3)
Answer:
see below
Step-by-step explanation:
The angle with tangent a/b is the one at lower right. "a" is the side opposite that angle, and "b" is the side adjacent to it. The cosine of that angle will be the adjacent side divided by the hypotenuse:
cos(angle at lower right) =
Answer:
x= 8
Step-by-step explanation:
Half of a circle or a straight line is equal an angle of 180 degrees. Therefore, both the measurements of angles RPS and QPR are equal to 180 degrees.
3x + 12 + 7x + 88 = 180
Add like terms
10x + 100 = 180
-100. -100
10x = 80
/10. /10
x = 8
For the first figure, draw a vertical line from the upper right corner to the base. Then you can see that the figure is a combination of two shapes: A rectangle that is 8 high and 6 wide, and a right triangle that has altitude of 8 and base of 4.
Area of rectangle = 8*6 = 48
Area of triangle = (1/2)*8*4 = 16
Total area = 48+16 = 64 square units
:::::
The second figure is a parallelogram with equal sides. Note that if you cut off the triangular area and attach it to the top of the figure, you get a rectangle, so the area is 15 times 16 = 24 units.