How would you slice a right rectangular prism to create a pentagon?

A.
Slice the prism such that the plane cuts through all of the six faces.

B.
Slice the prism such that the plane cuts through three intersecting edges.

C.
Slice the prism such that the plane is perpendicular to the base.

D.
Slice the prism such that the plane cuts through five of the six faces.

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

Step-by-step explanation:

the first 1 is lamarck

the second one is 1,3,4

then last one is the 4th one

Answer:

[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

Step-by-step explanation:

Given the information:

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

We choose C.

Hope it will find you well.

Answer:

Step-by-step explanation:

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

Find attached to this question, the diagram of the prism

Answer:

740m

Step-by-step explanation:

The first step determine what type of Prism we are trying to solve. Looking at the diagram, the prism is a triangular prism.

The surface area of a triangular prism is calculated as

Surface Area = bh + 2ls + lb

Where

b = base = 16m

h = height = 15m

l = length = 10m

s = side edge or length = 17m

Surface Area of the triangular prism = (16×15)m + 2(10×17)m + (10×16)m +

= 740m

Answer:

740m

Step-by-step explanation:

Answer:

1176 cm3

Step-by-step explanation:

Answer:

40

Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

Answer: D

Step-by-step explanation:

2,4

Answer:

I don't really know whats going on in the picture but here is how you solve absolute value inequalities

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step2: Set the quantity inside the absolute value notation equal to + and - the           quantity on the other side of the equation.

Step 3: Solve for the unknown in both equations.

Step 4: Check your answer analytically or graphically.

Answer:

r u in advanced bc thats to hard

Step-by-step explanation:

824 miles

Step-by-step explanation:

412×2=824 miles

or you could do 412+412=824 miles

Hope that helps! If you need any further clarification then please comment down below or message me. Good luck!

Answer:

x=-4

x=-5

Step-by-step explanation:

Answer:

-4 or -5

Step-by-step explanation:

Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.

Answer:

Downwards

Step-by-step explanation:

Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.

Answer:

5

Step-by-step explanation:

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

Answer:28

Step-by-step explanation:

3.5 times 8 is 28

Answer:

See explanation

Step-by-step explanation:

A circle is a figure where all of the points on its graph are equidistant from a single, central point. You can define a circle in a plane with the formula (x-h)^2+(y-k)^2=r^2, where h represents the x coordinate of the center, k represents the y coordinate, and r represents the radius. Hope this helps, and feel free to ask for more clarification!

A circle is the set of all points in a plane that are a fixed distance, called the radius, from a fixed point, called the center.

In addition, all radii of a given circle are congruent.

Answer:

IDK

Step-by-step explanation:

Answer: 308

Step-by-step explanation:

sorry if wrong............

Answer:

x = 12.6

Step-by-step explanation:

When you have one fraction equated to another one, the means-extremes property allows you to cross multiply, as follows:

[tex]\frac{a}{b} = \frac{c}{d} [/tex]

can be rewritten as:

a*d = c*b

For this case:

[tex]\frac{5}{7} = \frac{9}{x} [/tex]

5*x = 7*9

x = 63/5

x = 12.6

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

#SPJ2

Answer:

b

Step-by-step explanation:

We want to find a sine function such that:

The given options are:

Notice that the first information that we have, implies that y must be equal to 2 when x = 0.

Knowing that we can discard the third option which has a y-intercept of 4.

Now the second. Remember that for a general function:

y = A*sin(k*x) + M

Where A is the amplitude and M is the midline, the maximum and minimum are given by:

A + M

-A + M

In all the remaining options we have:

A  = ± 3

M = 2

We can see that with these we get the maximum and minimum of 5 and -1.

Finally, we know that it goes through one cycle at pi.

This means that if f(x) is the function, then:

f(x) = f(x + pi)

Also remember that for a general sine function, we have:

sin(x) = sin(x + 2*pi)

Ok, now let's analyze the options (only the sine part)

1) sin(2*(x + pi)) = sin( 2*x + 2*pi) = sin(2*x)

if we evaluate this in x + pi, we will get:

sin(2*( x + pi + pi)) = sin(2*(x + 2*pi)) = sin( 2*x + 4*pi) = sin(2*x)

So yes, option 1 is a correct option (you also can see that option 4 has the exact same sine part, so that option is also correct.)

2) for the second option the sine part is:

sin(x + pi)

if we evaluate this in x + pi we get:

sin(x + pi + pi) = sin(x + 2*pi) = sin(x)

and we have:

sin(x +pi) ≠ sin(x)

Then this function does not go through one cycle at pi.

We can conclude that the two options that meet all the conditions are the first one and fourth one:

1) y = -3*sin(2*(x + pi)) + 2

4) y = 3*sin(2*(x + pi)) + 2

We can't say which one is correct if we do not look at the graph.

If the function starts increasing, then (2) is the correct one, if the graph starts decreasing, then (1) is the correct one.

Below, you can see a graph of both functions:

The green one is y = 3*sin(2*(x + pi)) + 2,  the blue one is y = -3*sin(2*(x + pi)) + 2

If you want to learn more, you can read:

https://brainly.com/question/14068845

Answer: A, C, and E

Step-by-step explanation:

Answer:

68°

Step-by-step explanation:

If its 4.5 by 4 is 56 that means it's 56 on the other side

Answer:

Step-by-step explanation:

Subtracting a number is the same as adding its opposite. So, subtracting a positive number is like adding a negative; you move to the left on the number line. Subtracting a negative number is like adding a positive; you move to the right on the number line.

Answer:

B

Step-by-step explanation:

point e is three units to the right of point c and point d is 2.5 units up from point a