MATHEMATICS MIDDLE SCHOOL

Find the area of the quadrilateral with vertices A(0,0) B(2,-3) C(4,0) D(0,4).***must show step by step guide on how you got your answer(s).***

Answers

Answer 1
Answer:

Area of a triangle = ½ * base * height

Area of blue triangle = ½ * 4 * 4

Area of blue triangle = 8

Area of red triangle = ½ * 4 * 3

Area of red triangle = 6

TOTAL AREA = 8 + 6 = 14

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A circle is centered at (-8, -13) and has a radius of 13. What's the equation of the circle? Enter the equation in the box using lower case variables and y

What is the midpoint of the segment shown below?

Answers

Answer:

C. (2, -3/2)

Step-by-step explanation:

x = (2+2)/2 = 4/2 = 2

y = (-7+4)/2 = -3/2

What is the answer of 30% of $40.00 please tell with the steps

Answers

1.First you multiply $40.00 by .30 (since to make a percent a decimal you move the decimal or percent to the left 2 times)
2.Then you'll get 120000 so when you multiplied  $40.00 by .30 you have 4 decimals so you move the decimal 4 times in the answer starting from the right.
3. The answer will be 12 

Which of these strategies would eliminate a variable in the system of equations?\begin{cases} -7x + 2y = 5 \\\\ 3x - 5y = -5 \end{cases}
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−7x+2y=5
3x−5y=−5
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Answers

The solution for given equations -7x+2y=5 and 3x-5y=-5 are x = -0.517 and y = 0.6896.

Step-by-step explanation:

The given is,

                            -7x+2y=5..........................(1)

                              3x-5y=-5........................(2)

Step:1

         Equation (1) is multiplied by 5    ( Eqn(1) × 5)

                        -35x+10y=25.........................(3)

         Equation (2) is multiplied by -2  ( Eqn (2) × -2 )

                          -6x+10y=10.........................(4)

Step:2

         Subtract the equation (3) and (4),

                            -35x+10y=25

                              -6x+10y=10

                ( - )

    (-35x+6x)+(10y-10y)=(25-10)

                                     -29x=15

                                          x = - (15)/(29)

                                          x = -0.517

          From the x value equation (2) becomes,

                     3(-0.517)-5y=-5

                          -1.551-5y=-5

                                       -5y = (-5+1.551)

                                       -5y= -3.449

                                            y =(3.449)/(5)

                                            y = 0.6898

Step:3

          Check for solution,

                               -7x+2y=5..........................(1)

    (-7)(-0.517)+(2)(0.6898)=5

                        3.619+1.3796=5

                                             5 = 5

Result:

         The solution for given equations -7x+2y=5 and 3x-5y=-5 are x= -0.517 and y = 0.6896.

How to find the volume of the cone

Answers

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula (1)/(3)\pi r^(2)h.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

r=(d)/(2)

r=(6)/(2)

r=3.

Then, (1)/(3)\pi r^(2)h

=(1)/(3)*\pi *3^(2)*9

=(1)/(3)*3.14*9*9 (\pi =3.14)

=(1)/(3) *254.34

=(254.34)/(3)

=84.78 in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.

Scientific notation of 864,000,000,000,000

Answers

Answer:

8.64x10 to the power of 14


Step-by-step explanation:

Answer:

Its 8.64x10 to the power of 14

....????? plzz helllpppp

Answers

Answer:

\cos 60= (1)/(2)

\tan 60 = √(3)

Step-by-step explanation:

See the diagram given with the question first.

Here we are given a right triangle with two angles other than the right angle are 60° and 30°.

The length of the side opposite to 30° is 4 and the side opposite to 60° is 4√3 and automatically the length of the hypotenuse is 8.

Now, \cos 60= (Base)/(Hypotenuse) = (4)/(8) = (1)/(2)

Again. \tan 60 = (Perpendicular)/(Base) =(4√(3) )/(4) =√(3)  

(Answer)
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