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emmasim [6.3K]
3 years ago
5

Square root of 3 divided by 4 times A squared = 36 squared

Mathematics
1 answer:
Eva8 [605]3 years ago
5 0
If you want a decimal approximation, use the calculator; if you want it in reduced form, write it as a number times perfect squares.
First divide out 100's: 1 800 000 = 180 x 100 x 100
Divide up 180; it is divisible by 4 and by 9, leaving a 5.
1 800 000 = 5 x 4 x 9 x 100 x 100
√1 800 000 = √5 x √4 x √9 x √100 x √100
= √5 x 2 x 3 x 10 x 10
= 600√5
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I need help with this​
Ostrovityanka [42]

Answer:

A

Step-by-step explanation:

ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10

8 0
3 years ago
Quadrilateral ABCD is a rectangle. If AG = -7j + 7 and DG = 5j + 43, find BD
Kaylis [27]

<em>BD</em> = 56

Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

So, <em>AC</em> = <em>BD</em>

⇒<em>AG</em> + <em>GC</em> = <em>BG</em> + <em>GD</em>

⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

⇒<em>AG</em> = <em>GD</em>

⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

⇒<em>j</em> = –3

Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

     = 2(5 (–3) + 43)

     = 2(–15 + 43)

     = 2 × 28

     = 56

Hence, <em>BD</em> = 56.

4 0
3 years ago
Ritchie got a job at the movie theater. On the first day, he sold 5 adult tickets and 7 children tickets for a total of 104. On
g100num [7]

Answer:

  • adult: $11
  • children: $7

Step-by-step explanation:

The sales on the two days can be expressed using equations that can be solved for ticket prices.

<h3>Setup</h3>

Let x and y represent the prices of adult and children's tickets, respectively. Then the sales revenue for the two days can be expressed in the equations ...

  • 5x +7y = 104
  • 7x +3y = 98

<h3>Solution</h3>

One of the easiest solution methods is to use a graphing calculator. The first attachment shows the prices are $11 for an adult ticket; $7 for children tickets.

Using the matrix functions of a calculator, the augmented matrix of the equation coefficients can be reduced to row-echelon form. This, too, shows the solution to be (adult price, children price) = ($11, $7). See the second attachment. (The solution is the right-most column of the reduced matrix.)

Yet another solution method can use the coefficients from the equations written in general form:

  • 5x +7y -104 = 0
  • 7x +3y -98 = 0

In this form, we define three products of "cross multiplication":

  Δ1 = (5)(3) -(7)(7) = -34

  Δ2 = (7)(-98) -(3)(-104) = -374

  Δ3 = (-104)(7) -(-98)(5) = -238

Using those, we find the variable values to be ...

  x = Δ2/Δ1 = -374/-34 = 11

  y = Δ3/Δ1 = -238/-34 = 7

(adult price, children price) = ($11, $7)

__

You can read more about the cross-multiplication method here:

brainly.com/question/26397343

6 0
2 years ago
Read 2 more answers
HELP ME PLEASE AND THANKS
gavmur [86]
X is equal to 22.25 so all you have to do is to fill it in and find the answers
8 0
3 years ago
What is the answer to this??
Firdavs [7]

Answer:

x=3

z=65

Step-by-step explanation:

6x+97 and 14x+73  are vertical angles which means they are equal

6x+97= 14x+73

Subtract 6x from each side

6x-6x+97= 14x-6x+73

97 = 8x +73

Subtract 73 from each side

97-73 = 8x+73-73

24 = 8x

Divide each side by 8

24/8 = 8x/8

3 = x

Now we need to find z

6x+97  and z are supplementary angles which means they add to 180

6x+97 +z = 180

6(3) +97 +z = 180

18+97+z=180

Combine like terms

115+z = 180

Subtract 115 from each side

115-115 +z=180-115

z = 65

3 0
4 years ago
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