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Shalnov [3]
3 years ago
8

Bailey's rectangular dog pen for his Irish Setter must have an area of 400 square feet. Also, the length must be 20 feet longer

than the width. Find the dimensions of the pen.
Mathematics
1 answer:
Iteru [2.4K]3 years ago
8 0
Hello.


400=(x+20)x is the equation or 400=x^2+20x 


<span>(x+10)=square root of 500 
</span>

<span>so x+10=10 radical 5 
</span>


<span>final answer -10 + or - 10 radical 5=x 
</span>

Have a nice day
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Jaime needs a new roof on her house. The cash cost is $7500. She decides to finance the project by paying 20% down , with the ba
Gnesinka [82]

Answer:

(a) What finance charge will Jaime pay?

$818.4

(b) What is the APR to the nearest half percent ?

8.5%

Step-by-step explanation:

(a) What finance charge will Jaime pay?

The cash cost is $7500. She decides to finance the project by paying 20% down

Amount paid for down payment = $7500 × 20/100

= $1500

Amount left = $7500 - $1500

= $6000

The balance paid in 36 monthly payments of $189.40.

Hence: $189.40 × 36 = $6818.4

The finance charge = $6818.4 - $6000

= $818.4

(b) What is the APR to the nearest half percent ?

Step 1

Finance charge/ Amount left × 100

= 818.4/6000 × 100

= 13.64

Using the APR table:

The APR to the nearest half percent = 8.5%

8 0
3 years ago
Let f(t) give the number of liters of fuel oil burned in t days, and w(r) the liters burned in r weeks. Find a formula for w by
viktelen [127]

Answer:

7 f(t)

Step-by-step explanation:

So, our f(t) is the number of liters burned in t days. If t is 1, f(t)=f(1) and so on for every t.

w(r) id the number of liters in r weeks. This is, in one week there are w(1) liters burned.

As in one week there are 7 days, we can replace the r, that is a week, by something that represents 7 days. As 1 day is represented by t, one week can be 7t (in other words r = 7t). So, we have that the liters burned in one week are:

w(r) = w[7f(t)]

So, we represented the liters in one week by it measure of days.

So, we can post that the number of liters burned in 7 days is the same as the number of liters burned 1 day multiplied by 7 times. So:

w (r) = w[7 f(t)] = 7 f(t)

Here we hace the w function represented in terms of t instead of r.

3 0
3 years ago
Kite ABCD is rotated 180 degrees clockwise about the origin and then reflected over the y-axis, followed by a reflection over th
sleet_krkn [62]

Answer:

Step-by-step explanation:

Answer:

(-5, 1)

Explanation:

We are given a kite on the graph which is rotated 180° clockwise about the origin and then reflected over the Y axis followed by reflection over the X axis.

We are to find the coordinates of point A after the complete transformation.

A (-5, 1)

When a point is rotated 180° clockwise about the origin, the signs of its coordinates change.

A (-5, 1) ---> A' (5, -1) - after clockwise rotation of 180 degrees about origin

Then this point A' is reflected over the Y axis where the y coordinate remains the same but x coordinate changes its sign.

A' (5, -1) ---> A'' (-5, -1) - after reflection through y axis

Now this point A'' is reflected over the X axis where the x coordinate remains the same while y coordinates changes its sign.

A'' (-5, -1) ---> A''' (-5, 1) - after complete transformation

7 0
4 years ago
Please help and thank you
kondaur [170]

Answer:

Step-by-step explanation:

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(-\frac{\sqrt{3} }{2},-\frac{1}{2})

3 0
3 years ago
A motorcycle can go 50 miles using one gallon of gas. About how many gallons of gas will be used to go 150 kilometers? (Hint: 1
gayaneshka [121]

Answer:

The answer to your question is 1.875 gallons

Step-by-step explanation:

Data

distance = 50 mi

volume of gas = 1 gal

volume for 150 km = ?

Process

1.- Convert 50 mi into kilometers

                         1 mile ------------------- 1.6 km

                          x        ------------------ 150 km

                          x = (150 x 1)/1.6

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2.- Calculate the gallons wasted

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                          x            ---------------- 93.75 mi

                          x = (93.75 x 1)/50

                          x = 93.75/50

                         x = 1.875 gallons

4 0
3 years ago
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