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Arisa [49]
2 years ago
11

Jon wants to make a tent that is in the shape of a square pyramid. If the length of the square is 5 feet and the height of the t

ent is 6 feet, how much space will be in the tent? (Do not include the units).
Mathematics
1 answer:
barxatty [35]2 years ago
6 0

It is 300

Step-by-step explanation:

6*5 multiply them   times bye 2

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The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represent
alexira [117]

Answer:

The constant of proportionality of the equation is 1.5.

Step-by-step explanation:

Equation of proportional measures:

Suppose that y and x are proportional measures. This situation can be equatialized is:

y = ax

In which a is the constant of proportionality.

y = 1.5x. What is the constant of proportionality of the equation?

a = 1.5, so the constant of proportionality of the equation is 1.5.

6 0
3 years ago
Find the missing side of this right
I am Lyosha [343]

Answer:

Step-by-step explanation:

square of 15 + square of x = square of 21

225 + square of x = 441

441 - 225 = 216

x = 216

6 0
3 years ago
Y = x² – 4 y = 2r + 4​<br><br>Solve algebraicallu for the solutions of equations below.
oksano4ka [1.4K]

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

3 0
2 years ago
Simplify the following expression:<br> -6x + 4(-x - 3)
ss7ja [257]

Answer:

- 10x - 12

Step-by-step explanation:

- 6x + 4( - x - 3) \\  - 6x - 4x - 12 \\  - 10x - 12 \\   = - 2(5x + 6)

3 0
2 years ago
a 120 watt light bulb uses about 0.1 kilowatt of electricity per hour. if electricity costs 0.20 per kilowatt hour, how much doe
Allushta [10]
A 120 watt light-bulb is a 0.120 kilowatt light bulb.

In one hour, it uses 0.120 kilowatt-hour of energy.

If electrical energy costs $0.20 per kilowatt hour, then that light bulb costs

        (0.120 kilowatt-hour / hour) x (0.20 dollar / kilowatt-hour) =

                            (0.120 x $0.20 / hour)  =  

                                       $0.024 / hour  =  <span>2.4¢  per hour </span>
5 0
3 years ago
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