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kodGreya [7K]
3 years ago
5

Hi! I just need someone to check if this is correct I also have to show the work so if you can that is much appreciated! The per

imeter of a square is one yard. What is the area of the square in square inches? My answer is 36
Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Perimeter (P) of a square = 4s ; where s is the length of a side

1 yd = 4s

\frac{1}{4} yd = s

Area (A) of a square = s²

= (\frac{1 yd}{4})²

Now, convert from yard to foot to inch:

(\frac{1 yd}{4})² x (\frac{3 ft}{1 yd})² x (\frac{12 in}{1 ft})²

= (3 x 3 x 12 x 12) ÷ (4 x 4)

= 81 in²

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Step-by-step explanation:

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6 0
3 years ago
The equation of a parabola is 1/32 (y−2)2=x−1 .
Andru [333]

The given equation of parabola is

\frac{1}{32} (y-2)^2 = x-1

Which can also be written as

x = \frac{1}{32} (y-2)^2 +1

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And value of a is

a = \frac{1}{32}

Formula of focus is

(h+ \frac{1}{4a} , k)

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6 0
3 years ago
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Plz look at pic !!!! Plz Help!!! <br> Use proportion to solve
soldi70 [24.7K]

Answer:

It takes 26 2/3 gallons to make a 400 mile trip.

Step-by-step explanation:

This question is simply asking for the number of miles per gallon . In math, <em>per</em> means this is meant to be written as a fraction.

"If a trip of 270 miles required 18 gallons of gas" is actually saying "270 miles per 18 gallons." This can be written as a fraction like so: 270/18.

If we're looking for the amount of gas used for a 400 mile trip, we have the fraction: 400/g, g being the amount of gallons it took to make that trip.

Now we can set up the proportion: \frac{270}{18} =\frac{400}{g}

Cross multiply and solve accordingly.

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It takes 26 2/3 gallons to make a 400 mile trip.

6 0
3 years ago
What is the equation of the circle with center (5,-4) and containing the points (5,-2)
gtnhenbr [62]

Answer:

The equation of a circle is (x-5)^2+(y+4)^2=4 .

Step-by-step explanation:

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(x-h)^2+(y-k)^2=r^2 (where center is (h,k), the point (x_{1},y_{1}) and the radius known as r).

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(5-5)^2+(-2+4)^2=r^2

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(5-5)^2+(-2+4)^2=r^2

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4 = r^2

\sqrt{4} = \sqrt{r^2}

2 = r

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3 0
3 years ago
I need step by step please 3(x-2)^2+1=13
Romashka-Z-Leto [24]

Answer:

x_{1} = 0. \:  \:  \:  x_{2} = 4

Step-by-step explanation:

3(x - 2)^{2}  + 1 = 3

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{3x}^{2}  - 12x + 12 + 1 = 13

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{3x}^{2}  - 12x = 0

x \times (x - 4) = 0

x = 0

x - 4 = 0

\boxed{\green{x_{1} = 0. \:  \:  \:  x_{2} = 4}}

7 0
2 years ago
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