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kakasveta [241]
3 years ago
15

Please answer all of them and give steps.

Mathematics
1 answer:
olga2289 [7]3 years ago
5 0

Answer:

Step-by-step explanation:

1. 12a = 4

    12a/12 = 4/12

    a = 1/3

2.  2c = 7(8/7)

    2c = 8

     c = 4

3. 5h = 6(-3/8)

    5h = -18/8

    5h = -9/4

    20h = -9

      h = -9/20

4. -27m = -4

    m = 4/27

5. -42p = 21

    p = -21/24 = -1/2

6. -7x = 4/7

    x = -4

7. 9n = -40/9

  n = -40

8. 15g = -24

  g = -24/15 = -8/5

9. 4s = 56

   s = 14

10 -5t = -9(2/3)

     -5t = -6

    t = 6/5    

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A regular hexagon has a radius of 20in. What is the approximate area of the hexagon
Wittaler [7]

Answer:

A= 1038 in²....

Step-by-step explanation:

There are several ways to find the area of a regular hexagon

In a regular hexagon, split the figure into triangles.

Find the area of one triangle.

Multiply this value by six.

We will apply the formula of area of regular polygon:

A= 1/2r²nsin(360/n)

r = radius

n = number of sides of the regular polygon

We know that,

r= 20 in

n= 6

Now substitute the values in the formula:

A= 1/2(20)²(6)sin(360/6)

A= (20)²(3)sin(360/6)

A= (20)²(3)sin(60)

A=3*(20)² *√3/2

A= 1200 * √3/2

A= 600*√3

A= 1038 in²....

Therefore the approximate area of hexagon is 1038 in²....

8 0
4 years ago
Read 2 more answers
One positive integer is 6 less than twice another. The sum of their squares is 801. Find the integers
xxTIMURxx [149]

Answer:

\large \boxed{\sf 15 \ \ and \ \ 24 \ \ }

Step-by-step explanation:

Hello,

We can write the following, x being the second number.

(2x-6)^2+x^2=801\\\\6^2-2\cdot 6 \cdot 2x + (2x)^2+x^2=801\\\\36-24x+4x^2+x^2=801\\\\5x^2-24x+36-801=0\\\\5x^2-24x-765=0\\\\

Let's use the discriminant.

\Delta=b^4-4ac=24^2+4*5*765=15876=126^2

There are two solutions and the positive one is

\dfrac{-b+\sqrt{b^2-4ac}}{2a}=\dfrac{24+126}{10}=\dfrac{150}{10}=15

So the solutions are 15 and 15*2-6 = 30-6 = 24

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0
4 years ago
What is... –9v + 1 = –8v − 7
almond37 [142]

Answer:

v=8

Step-by-step explanation:

–9v + 1 = –8v − 7

Add 9v to each side

–9v+9v + 1 = –8v+9v − 7

1 = v-7

Add 7 to each side

1+7 = v-7+7

8 =v

6 0
3 years ago
Read 2 more answers
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