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trapecia [35]
2 years ago
8

The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the perc

ent increase of their living space?
Mathematics
1 answer:
lana66690 [7]2 years ago
5 0

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

Increase in living space = 3800 - 1450 = 2350 sq feet

(Increase / previous size) * 100%

(2350 / 1450) * 100%

1.6206 * 100%

= 162.06%

= 162.1%

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The distance between -4,1 and -2,2
Vlad1618 [11]

Answer:

✓32

or

4✓2

or

5.66

Step-by-step explanation:

That's the answer. Hope it helps

8 0
3 years ago
Different hotels in a certain area are randomly selected, and their ratings and prices were obtained online. Using technology, w
Savatey [412]

Answer:

a. y= 130x + 350 + \epsilon

b. The symbol y-bar represents the average price of hotels in the area

Step-by-step explanation:

a. The regression line equation is given by:

y=\alpha x + \beta + \epsilon

Where Alpha represents the slope, Beta represents the intercept with the Y axis, and epsilon represents the random component of the model. Thus,

\alpha = 130 y \beta = 350  Obtaining:

y= 130x + 350 + \epsilon.

b.  In a simple linear regression model the value of y-bar represents the average of all values ​​of y observed. Thus, since y represents the prices of the hotels, then y-bar is the average price of hotels in the area.

5 0
3 years ago
Write the equation in standard form for the circle that has a diameter with endpoints (22,0) and (2,0)
vovikov84 [41]

Answer:

(x - 12)² + y² = 100

Step-by-step explanation:

The standard form of the equation of a circle is;

(x - a)² + (y - b)² = r²

where:

a and b are the coordinates of the centre of the circle

r is the radius

We are given the coordinates of the endpoints of the diameter as; (22,0) and (2,0)

Thus, the centre of the circle would be at the mid point of the endpoints of the diameter.

Coordinates of the centre is;

((22 + 2)/2), (0 +0)/2))

This is;

(12, 0)

So, a = 12 and b = 0

Now,to get the radius r, we will use the formula;

r = √[(x2 - x1)² + (y2 - y1)²]

Where;

(x1, y1) and (x2, y2) are 2 points namely (12,0) and (22, 0)

r = √[(12 - 22)² + (0 - 0)²]

r = √(-10)²

r = √100

r = 10

Thus,equation of the circle is;

(x - 12)² + (y - 0)² = 10²

(x - 12)² + y² = 100

7 0
3 years ago
The length of each leg of an isosceles right triangle is 4 cm. What is the length of the hypotenuse
miss Akunina [59]

<u>Answer:</u>

5.65 cm

<u>Step-by-step explanation:</u>

We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.

For this, we will use the Pythagoras Theorem:

a ^ 2 = b ^ 2 + c ^ 2

where a is the hypotenuse.

a ^ 2 = 4 ^ 2 + 4 ^ 2

\sqrt { a ^ 2} = \sqrt { 3 2 }

a = 5 . 6 5

Therefore, the length of the hypotenuse is 5.65 cm.

5 0
3 years ago
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Llana [10]
The correct answer is C.
8 0
3 years ago
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