Answer:
x = 91
Step-by-step explanation:
The opposite angles of an inscribed quadrilateral are supplementary, that is
∠ A + ∠ C = 180, thus
x + 89 = 180 ( subtract 89 from both sides )
x = 91
Answer:
y=4x-8.5
Step-by-step explanation:
Use point- slope form, since you are given one point and one slope.
y-y₁=m(x-x₁)
Plug coordinates and slope in.
y-(-1/2)=4(x-2)
Solve
y+1/2=4x-8
y=4x-8.5
Use the Pythagorean theorem to find the diameter:
Diameter = √(19.3^2 - 9.5^2)
Diameter = √(372.49 - 90.25)
Diameter = √282.24
Diameter = 16.8 m
Volume of a cylinder = PI x r^2 x h
r = 1/2 diameter = 16.8 /2 = 8.4
h = 9.5 m
Volume = PI x 8.4^2 x 9.5
= PI x 70.56 x 9.5
= PI x 670.32
In terms of PI volume = 670.32PI
As a decimal:
670.32 x 3.14 = 2104.8048 = 2100m^3 ( rounded to the nearest hundred)
Answer:
y-intercept: (0, -3)
x-intercept: (5, 0)
Step-by-step explanation:
Trick question! The problem gives you the x and y intercepts. x intercept is when y is 0, and y intercept is when x = 0!
Answer:y = -4
Step-by-step explanation: In order to find the slope by these two points, (6,-4), and (-4,-4), you must use the slope formula:
rise/run, which is this case, is y2-y1 / x2 - x1 <--- this is the slope formula
Let 6 be x2, -4 be x1, y2 be -4, and y1 being -4, plug these numbers in.
-4-(-4) / 6- (-4)
-4 + 4/ 6 +4
0/10 The slope of the line is zero, with a y-axis at -4. We know this because there is a zero in the final result and the y- coordinate between (6,-4) and (-4,-4) do not change in the slightest.
The final answer is then y = -4
