Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Note ∠ Q is a right angle = 90°
Sum the angles and equate to 180
7b + 14 + 6b + 11 + 90 = 180, that is
13b + 115 = 180 ( subtract 115 from both sides )
13b = 65 ( divide both sides by 13 )
b = 5
Thus
∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°
∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°
∠ Q = 90°
The 60 represents the rate at which the train is traveling in km per hour. So, I believe the answer would be D (sorry if this is wrong, to be honest I’m just using context clues)
Use your calculator put all of them together then you’ll get your answer
Answer:
356.8cm3
Step-by-step explanation:
Volume of a cone= 1/3 * base area * height.
Note: don't be confused by right circular cone ; a cone is gotten from a cylinder by dividing it into three parts. One from the right vertex slanted to the middle of the base; another from the left vertex slanted to the middle of the base and the remaining portion with the surface base at the top.
Going forward; base area =pi * raduis * raduis [ area of a circle; the base is a circle]
Volume= 1/3 * (3.142 * 7.8 * 7.8 *5.6) = 356.83cm3
Volume= 356.8cm3 [ to the nearest tenth].
Tenth means 1/10= 0.1; that is value after the decimal point.
Answer: OPTION D.
Step-by-step explanation:
You can observe in the graph that represents f(x) that this function intersects the x-axis at the point (1,0). Then:

We know that a function intersects the x-axis when
.
We can observe the table that represents the function g(x). When the value of "y" is 0 (
), the value of "x" is -1 (
). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).
You can observe in the graph that represents f(x) that this function intersects the y-axis at the point (0,-1). Then:

We know that a function intersects the y-axis when
. In the table that represents the function g(x), we can see that, when the value of "x" is 0 (
), the value of "y" is 1 (
). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).