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GrogVix [38]
3 years ago
15

Find AB. Write your answer in the simplest form

Mathematics
1 answer:
charle [14.2K]3 years ago
6 0

Answer:

<h2>a. AB = 24</h2>

Step-by-step explanation:

We have a triangle 45° - 45° - 90°.

Sides are in the ratio 1 : 1 : √2 (<em>look at the picture</em>).

If BC=12\sqrt2 then AB=(12\sqrt2)(\sqrt2)=(12)(2)=24

Used (\sqrt{a})(\sqrt{a})=a

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At the movie theatre, child admission is 6.30 and adult admission is 9.50 . On Sunday, four times as many adult tickets as child
Lady_Fox [76]

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

<h3>How many children went to the movie theatre?</h3>

In this question we have a <em>word</em> problem, whose information must be translated into <em>algebraic</em> expressions to find a solution. Let be x and y the number of children and adults that went to the movie theatre, respectively.

We need two <em>linear</em> equations, one for the number of people assisting to the theatre and another for the total sales:

x - 4 · y = 0     (1)

6.30 · x + 9.50 · y = 1063.20     (2)

By algebraic procedures the solution to this system is: x = 122.559, y = 30.639. Since the number of tickets sold are integers, then we truncate each result: x = 122, y = 30.

According to the characteristics of <em>ticket</em> sales and the resulting system of linear equations we find that 122 children bought each one a ticket on Sunday.

To learn on systems of linear equations: brainly.com/question/27664510

#SPJ1

4 0
1 year ago
The mass, m, of an object varies directly as the cube of its length, I.
steposvetlana [31]

Answer:

m = 686.

Step-by-step explanation:

Direct variation :

m= kl^3 where k is a constant.

m = 250 when l = 5, so

250 = k *(5)^3

k = 250 / 125 = 2

So the equation of variation is m = 2l^3.

When l = 7:

m = 2 * (7)*3

= 2 * 343

= 686.

6 0
3 years ago
Read 2 more answers
At the beginning of the school year, Jamie had $500 in her savings account. She wants to have at least $200 left in the account
UNO [17]

Her error was that she misplaced the numbers

-30x ≥ -300

its supose

to be -30x ≥ 200

7 0
3 years ago
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If Candler and Oteen are 312 inches apart on the map, what is the actual distance between Candler and Oteen in miles?
poizon [28]
1,578 miles







I searched it up and it was correct
7 0
3 years ago
PLS HELP ME RN I AM FAILING AND NEED HELP ITS PYTHAGOREAN THEOREM
jekas [21]

Answer:

9.89949 or 9.9

Step-by-step explanation:

7^2 + 7^2 = c^2

49+49=98

square root of 98 = 9.89949

5 0
2 years ago
Read 2 more answers
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