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cestrela7 [59]
2 years ago
10

The dimensions of Sara's apartment are22 1/2 feet by 25 feet. In the scale drawing below,1 1/2 inches is equivalent to 15 feet.

What is the unit rate
Mathematics
1 answer:
expeople1 [14]2 years ago
7 0

Answer:

Step-by-step explanation:

Given:

The scale 1 1/2 (\frac{3}{2}) inches = 15 feet

<=>  1 inch = \frac{15 feet}{\frac{3}{2} } = 10 feet.

<=> 1 feet = \frac{1}{10} inch

The dimensions of Sara's apartment are 22 1/2  (\frac{45}{2}) feet by 25 feet, so the new dimensions of Sara's apartment by inches are:

  • (\frac{45}{2}) feet = \frac{45}{2} * \frac{1}{10} = \frac{9}{4} inches
  • 25 feet = 25*\frac{1}{10} = \frac{5}{2} inches

Hope it will find you well.

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Solve x 2 - 4x - 7 = 0 by completing the square. What are the solutions?
Bingel [31]

Answer:

x = 2±sqrt(11)

Step-by-step explanation:

x^2 -4x - 7 =0

Add 7 to each side

x^2 -4x -7+7 =0+7

x^2 -4x =7

To complete the square take the coefficient of the x term and  divide by 2 and then square it.  Add it to both sides

-4 /2 = -2 then square

(-2)^2 = 4

Add 4 to both sides

x^2 -4x+4 =7+4

x^2 -4x+4 = 11

Factor the left side into (x-b/2)^2

(x-2)^2 =11

Take the square root of each side

sqrt((x-2)^2) =±sqrt(11)

x-2 = ±sqrt(11)

Add to to each side

x-2+2 = 2±sqrt(11)

x = 2±sqrt(11)

3 0
3 years ago
What is the largest whole number that will round up or down to 500 if we're rounding to the nearest hundred?
mojhsa [17]

Answer:

549

Step-by-step explanation:

The next larger whole number, 550, will round up to 600.

The largest whole number that rounds to 500 is 549 when rounding to hundreds.

6 0
3 years ago
Use graph to answer question
slamgirl [31]

Answer:

cos(θ) = 3/5

Step-by-step explanation:

We can think of this situation as a triangle rectangle (you can see it in the image below).

Here, we have a triangle rectangle with an angle θ, such that the adjacent cathetus to θ is 3 units long, and the cathetus opposite to θ is 4 units long.

Here we want to find cos(θ).

You should remember:

cos(θ) = (adjacent cathetus)/(hypotenuse)

We already know that the adjacent cathetus is equal to 3.

And for the hypotenuse, we can use the Pythagorean's theorem, which says that the sum of the squares of the cathetus is equal to the square of the hypotenuse, this is:

3^2 + 4^2 = H^2

We can solve this for H, to get:

H = √( 3^2 + 4^2) = √(9 + 16) = √25 = 5

The hypotenuse is 5 units long.

Then we have:

cos(θ) = (adjacent cathetus)/(hypotenuse)

cos(θ) = 3/5

5 0
3 years ago
Any irrelevant information will be reported. Please help.<br> Find the slope:
Mariulka [41]

Answer:

Okay so if find the slope wouldn't it be x + 5 = 4

Step-by-step explanation:

I'm so sorry if its not correct please let me know so I can fix my mistake

7 0
1 year ago
Read 2 more answers
Shown below is a blueprint for a rectangular kennel at a pet hotel.
yulyashka [42]

Answer:

The total length of fencing needed to enclose the kennel 74 feet.

Step-by-step explanation:

Given:

The blueprint of the rectangular kennel shows one side is 23 feet and another side is 14 feet.

As it is a rectangular shape, let the two sides be the length and the breadth of the rectangular kennel. i.e

length = L = 23\ feet\\breadth = B = 14\ feet\\

To find:

Total length of fencing needed is to enclose the kennel. i.e

Perimeter of a rectangular kennel = ?

Solution:

we have the formula for perimeter of a rectangle as giving below.

\textrm{perimeter of rectangle} = 2(length + breadth) \\\textrm{total length of fencing} = 2( L+B)\\ \textrm{substituting the values of length and breadth we get}\\ \textrm{total length of fencing} = 2(23+14)\\=2\times37\\= 74\ feet

Therefore,the total length of fencing needed to enclose the kennel 74 feet.

8 0
3 years ago
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