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insens350 [35]
3 years ago
14

Gina looks at the architectural plan of a four-walled room in which the walls meet each other at right angles. The length of one

wall in the plan is 17 inches. The length of the diagonal of the floor of the room in the plan is approximately 18.79 inches.
Is the room in the shape of a square?
Mathematics
1 answer:
Mice21 [21]3 years ago
7 0
The shape of the room is not a square.
Pythagorean Theorem: 17^2+17^2= 578, square root 578 and you'll get 24.04.
The length of the diagonal of the floor of the room in the plan should have been 24.04 in order to be a square.
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4 0
3 years ago
Help with 2 and 3<br> Please help
andreyandreev [35.5K]
2. Some fractions could be different in denominator and numerator so you'll have to make all denominators the same in order to order them. It'll make it easier because the numerator will show which numbers are greater than the other. For example, 1/2 and 3/4, u could convert both to equivalent fractions. Make 1/2 into 2/4 and 3/4 stays the same, 3/4 is greater than 2/4 so it goes first.

3. 2/3, 7/12, 4/9, 1/2, 3/8, 5/24.
It's in this order because their equivalent fractions are,
27/72, 48/72, 36/72, 42/72, 36/72, 15/72.( that's the order they're in in the question)
4 0
3 years ago
The cost for 5 adults and 3 children to attend a show is $210. ( /5)
liraira [26]

Answer: i. Cost of adult ticket = $ 30

ii.  Cost of child ticket = $20

Step-by-step explanation:

Define variables:

Let x= cost of 1 adult tickets , y= cost of 1 child tickets.

Form linear equations:

5x+3y = 210      (i)

2x+5y= 160  (ii)

Multiply (i) by 2 and (ii) by 5

10x +6y = 420       (iii)

10x+25y = 800        (iv)

Eliminate (iii) from (iv)

19y = 380

⇒ y= 20

Put this in (i)

5x+3(20)=210\Rightarrow\ 5x+60 = 210\\\\\Rightarrow\ 5x=150\\\\\Rightarrow\ x=30

Hence, Cost of adult ticket = $ 30 and Cost of child ticket = $20

4 0
3 years ago
Jana finished 1/4 of her homework at school and 2/3 of it before dinner how much of her homework has she finished so far
seropon [69]

Answer:

11/12

Step-by-step explanation:

1/4+2/3

1/4×3/3+2/3×4/4

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8 0
3 years ago
Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
sdas [7]

Answer:

-15

Step-by-step explanation:

We proceed as follows;

In this question, we want to fill in the blank so that we can have the resulting expression expressed as the product of two different linear expressions.

Now, what to do here is that, when we factor the first two expressions, we need the same kind of expression to be present in the second bracket.

Thus, we have;

2a(b-3) + 5b + _

Now, putting -15 will give us the same expression in the first bracket and this gives us the following;

2a(b-3) + 5b-15

2a(b-3) + 5(b-3)

So we can have ; (2a+5)(b-3)

Hence the constant used is -15

8 0
3 years ago
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