Answer:
Height = 3.5cm.
Step-by-step explanation:
Area of a trapezium:
a+b/2 × h
Area = 14.7cm²
Parallel sides (a and b) = 5.3cm, 3.1cm
14.7cm² = 5.3 + 3.1/2 × h
h = 14.7 ÷ 4.2
h = 3.5cm
The height is 3.5cm.
Answer:
ABOVE the x-axis
Step-by-step explanation:
Please use "^" to denote exponentiation: y = x^2 + 2x + 3
To find the vertex, we must complete the square of y = x^2 + 2x + 3, so that we have an equivalent equation in the form f(x) = (x - h)^2 + k.
Starting with y = x^2 + 2x + 3,
we identify the coefficient of x (which is 2), take half of that (which gives
us 1), add 1 and then subtract 1, between "2x" and "3":
y = x^2 + 2x + 1 - 1 + 3
Now rewrite x^2 + 2x + 1 as (x + 1)^2:
y = (x + 1)^2 - 1 + 3, or y = (x + 1)^2 + 2. Comparing this to f(x) = (x - h)^2 + k, we see that h = 1 and k = 2. This tells us that the vertex of this parabola is at (h, k): (1, 2), which is ABOVE the x-axis.
Answer:
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x-----> the volume of the dilated cone
y-----> the volume of the original cone
In this problem we have
substitute and solve for x
Answer: F = 6
P = 1.5
Step-by-step explanation:
ABC is congruent to XYZ using ASA since angle A is congruent with angle X, angle B is congruent with angle Y, and side AB is congruent with side XY