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Paladinen [302]
3 years ago
11

blueprints of a house are drawn to the scale of 1/4 in:1 ft. A kitchen measures 3.5 in by 5 in on the blueprints. What is the ac

tual size of the kitchen
Mathematics
1 answer:
bezimeni [28]3 years ago
8 0

Answer:

<h3>The actual size of the kitchen is 14 feet by 20 feet.</h3>

Step-by-step explanation:

We are given scale factor of blueprints of a house as 1/4 in : 1 ft.

That is <em>1 inch = 1×4 feet = 4 feet.</em>

The measure of kitchen 3.5 in by 5 in on the blueprints.

Therefore,  actual length of the 3.5 inches kitchen on the blueprint = 3.5 × 4 = 14 feet.

And actual width of the 5 inches kitchen on the blueprint = 5 × 4 = 20 feet.

<h3>Therefore, the actual size of the kitchen is 14 feet by 20 feet.</h3>

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Complete the square to re-write the quadratic function in vertex form:<br> y = x2+ 10x - 2
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Answer:

<h3>             \bold{y=(x+5)^2-27}</h3>

Step-by-step explanation:

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8 0
3 years ago
Two numbers whose sum is 44 and whose product is a maximum
Mashcka [7]

Answer:

x = y = 22

Step-by-step explanation:

It would help to know your math course. Do you know any calculus? I'll assume not.

Equations

x + y = 44

Max = xy

Solution

y = 44 - x

Max = x (44 - x)                    Remove the brackets

Max = 44x - x^2                   Use the distributive property to take out - 1 on the right.

Max = - (x^2 - 44x )               Complete the square inside the brackets.

Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done  is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.

Max = -(x - 22)^2 + 484

The maximum occurs when x = 22. That's because - (x - 22) becomes 0.

If it is not zero it will be minus and that will subtract from 484

x + y = 44

xy = 484

When you solve this, you find that x = y = 22 If you need more detail, let me know.


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3 years ago
What is 8 and 21/40 in decimal form? If don't uderstamd what is 8 and 21 over 40 in decimal form? Plz help thx✌️
Marrrta [24]
It is 8.525. what u do is 21÷40 and get .525 and then u add the 8 in the front and get 8.525
4 0
3 years ago
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