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Sliva [168]
3 years ago
13

Terri will replace the tile and carpet in her apartment. How many total square feet of tile and carpet must Terri purchase in or

der to refloor her apartment?
Please help me with this question!

Mathematics
1 answer:
lana66690 [7]3 years ago
8 0

Answer:Terry need to purchase  195\ ft^{2} of tile and 663\ ft^{2} of carpet for a total area of 858\ ft^{2}

Step-by-step explanation:

step 1

Find the square feet of tile

The area of the tile is equal to

A=(15)(26-13)=195\ ft^{2}

step 2

Find the square feet of carpet

Remember that

38\frac{1}{2}\ ft=38.5\ ft

The area of the carpet is equal to

A=(38.5)(26)-195-(11)(13)\\A= 1,001-195-143\\A=663\ ft^{2}

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A. 48

Step-by-step explanation:

to find the area of a parallelogram you multiply the base and height therefore 8x6= 48.

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357.46 meters squared

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Write the equation of a parabola whose directrix is y=9.75 and has a focus at (8, 0.25).
lana [24]

Answer:

y = (-1/19)(x - 8)² + 1521/76

Step-by-step explanation:

A parabola moves in such a way that it's distance from it's focus and directrix are always equal.

Now, we are given that directrix is y = 9.75 and focus is at (8, 0.25). Focus can be rewritten as (8, ¼) and directrix can be rewritten as y = 39/4

If we consider a point with the coordinates (x, y), it means the distance from this point to the focus is;

√((x - 8)² + (y - ¼)²)

Distance from that point to the directrix is; (y - 39/4)

Thus;

√((x - 8)² + (y - ¼)²) = (y - 39/4)

Taking the square of both sides gives;

((x - 8)² + (y - ¼)²) = (y - 39/4)²

(x - 8)² + y² - ½y + 1/16 = y² - (39/2)y + (39/4)²

Simplifying this gives;

(x - 8)² - (39/4)² = (½ - 39/2)y

(x - 8)² - 1521/4 = -19y

(x - 8)² - 1521/4 = -19y

Divide both sides by -19 to get;

y = (-1/19)(x - 8)² + 1521/76

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3 years ago
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