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Svetlanka [38]
3 years ago
9

What is the percent change from $24 to $30

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0

Answer:

25%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Step-by-step explanation:


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Someone please help me with this​
Sedbober [7]

Answer:

The area of the shaded figure is:

  • <u>20 units^2</u>

Step-by-step explanation:

To obtain the area of the shaded figure, first, you must calculate this as a rectangle, with the measurements: wide (4 units), and long (6 units):

  • Area of a rectangle = long * wide
  • Area of a rectangle = 6 * 4
  • Area of a rectangle = 24 units^2

How the figure isn't a rectangle, you must subtract the triangle on the top, so, now we calculate the area of that triangle with measurements: wide (4 units), and height (2 units):

  • Area of a triangle = \frac{wide*height}{2}
  • Area of a triangle = \frac{4*2}{2}
  • Area of a triangle =\frac{8}{2}
  • Area of a triangle = 4 units^2

In the end, you subtract the area of the triangle to the area of the rectangle, to obtain the area of the shaded figure:

  • Area of the shaded figure = Area of the rectangle - Area of the triangle
  • Area of the shaded figure = 24 units^2 - 4 units^2
  • <u>Area of the shaded figure = 20 units^2</u>

I use the name "units" because the exercise doesn't say if they are feet, inches, or another, but you can replace this in case you need it.

5 0
3 years ago
Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
bearhunter [10]

Answer:

a. y = 8x + 7

b. 8y = -x-74

Step-by-step explanation:

Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point

Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope

Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8

Now, the slope of our new line is also 8

We now make use of the point slope method to write the equation

Mathematically the point slope method is;

y-y1 = m(x-x1)

where our (x1,y1) = (-2,-9)

y-(-9) = 8(x -(-2))

y + 9 = 8(x + 2)

y + 9 = 8x + 16

y = 8x + 16-9

y = 8x + 7

For the second line, it is perpendicular to y = 8x + 7

Here too, we have the slope as 8

Now since they are perpendicular, it means that the product of the slopes is equal to -1

m1 * m2 = -1

8 * m2 = -1

m2 = -1/8

Now;

y-y1 = m(x-x1)

our point still remains same (-2,-9)

y-(-9) = -1/8 (x -(-2))

y + 9 = -1/8(x + 2)

8(y + 9) = -1(x + 2)

8y + 72 = -x -2

8y = -x -2-72

8y = -x-74

4 0
3 years ago
On a coordinate plane, a point is at (negative 4, negative 4) and (negative 4, negative 10).
Valentin [98]

Answer:

Option C.

Step-by-step explanation:

Hey there!

The points are; (-4,-4) and (-4,-10).

<u>Use </u><u>distance</u><u> formula</u><u>.</u>

d =  \sqrt{ {(x2 - x1)}^{2} +  {(y2 - y1)}^{2}  }

~ Put all values.

d =  \sqrt{ {( - 4 + 4)}^{2}  + (  { - 10  + 4)}^{2} }

~ Simplify it.

d =  \sqrt{ {0}^{2} + ( { - 6)}^{2}  }

d =  \sqrt{36}

Therefore, distance between the points is 6 units.

<em><u>Hope</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

6 0
3 years ago
Which equation can you use to find the value of x?
klemol [59]

Answer:

3x=78+(x-2)

Step-by-step explanation:

The complete question in the attached figure

we know that

The <u><em>Triangle Exterior Angle Theorem</em></u> states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

In this problem

3x=78+(x-2)

solve for x

3x=76+x\\3x-x=76\\2x=76\\x=38^o

3 0
3 years ago
Find the volume of a triangular pyramid with a base area of 24 ft2 and a height of 18 ft.
Tems11 [23]
Volume = (1/3) * base area * height
              = 1/3 * 24 * 18
              = 144 ft^3
4 0
3 years ago
Read 2 more answers
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