Slope -4;contains (2,0)

Select the correct answer. What is the surface area of the victory podium shown here? Include all surfaces of the podium, includ

Leya [2.2K]

Answer:

Option C is correct.

Step-by-step explanation:

Given the dimension of the surfaces i.e length, width and height of podium. we have to calculate the surface area of the victory podium.

As Surface area of cuboid is 2(LW+WH+HL)

In the given figure, the upper cuboid has dimension

L=2.5 ft. , W=1.5 ft, H=1.5 ft

$\text{Surface area=}2(2.5(1.5)+1.5(1.5)+1.5(2.5))=19.5ft^2$

$\text{Area of bottom face of upper cuboid=}L\timesW=2.5\times1.5=3.75ft^2$

The upper face is occuring twice therefore it must be subtracted to find the area

Dimensions of lower podium are

L=7.5 ft. , W=1.5 ft, H=1.5 ft

$\text{Surface area=}2(7.5(1.5)+1.5(1.5)+1.5(7.5))=49.5ft^2$

Now, Surface area of podium included bottom is

19.5+49.5-3.75=65.25 square feet.

Hence, option C is correct.

4 0

3 years ago

Suppose you are given a parabola with two points that have the same y-value, such as (-7, 11) and (3, 11). Explain how to find t

Hoochie [10]

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

<h3>How to derive the equation of the axis of symmetry </h3>

In this question we know the locations of two points with the same y-value, which means that the axis of symmetry is parallel to the y-axis and that both points are equidistant. Thus, the axis of symmetry passes through the midpoint of the line segment whose ends are those points.

First, calculate the coordinates of the midpoint by the midpoint formula:

M(x, y) = 0.5 · (- 7, 11) + 0.5 · (3, 11)

M(x, y) = (- 2, 11)

Second, look for the first coordinate of the midpoint and derive the equation of the line associated with the axis of symmetry:

x = - 2

By using the midpoint formula and the equation of the line, the equation of the line of symmetry is x = - 2.

To learn more on axes of symmetry: brainly.com/question/11957987

#SPJ1

3 0

1 year ago

What is the value of b ?

HACTEHA [7]

Two polynomials are equal if the coefficients are equal.

$x^3+(3+b)x^2+(3b-2)x-6\\\downarrow\qquad\ \ \downarrow\qquad\qquad\ \ \ \ \downarrow\\x^3\ +\ \ 6x^2\ \ \ \ +\ \ \ \ \ 7x\ \ -\ 6\\\\x^3\to1=1\\x^2\to3+b=6\\x\to3b-2=7\\constans\to-6=-6\\\\3+b=6\ \wedge\ 3b-2=7\\\\3+b=6\ \ \ |-3\\b=3\\\\3b-2=\ \ \ \ |+2\\3b=9\ \ \ \ |:3\\b=3\\\\Answer:\ \boxed{b=3}\to\boxed{B.}$