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Deffense [45]
3 years ago
8

You travel 12 miles north and then 5 miles west from your home. How far are you from home?

Mathematics
1 answer:
san4es73 [151]3 years ago
8 0

Answer:

13

Step-by-step explanation:

12 * 12 = 144

5 * 5 = 25

144 + 25 = 169

√169 = 13

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The width of a rectangle is 7 meters greater than its length. If the area of the rectangle is 170 square meters, write the quadr
Luden [163]
It would be (x)(x+7)=170
If you want it solved, then you would get:
x^{2} +7x-170=0
(x+17)(x-10)=0
And since you can't have a negative length (-17), x=10
So your side lengths would be 10 and 17 (10+7), which would give you an area of 170.
Hope that helps.
8 0
3 years ago
Read 2 more answers
Lia finds a second dress that was originally $72.00 and now was marked 15% off. How much did she pay for the second dress?
dybincka [34]

Answer:

The answer is $61.20

Step-by-step explanation:

First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.

4 0
2 years ago
The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What
My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

M(x)=13x-x^2                   .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

M'(x)=13-2x               .... (2)

Equate first derivative equal to 0.

13-2x=0

2x=13

x=\frac{13}{2}=6.5

Differential function (2) with respect to x.

M''(x)=-2

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0
3 years ago
Jeff earns $27,800 per year. what is his bi-monthly gross pay
Anarel [89]
Below are the choices that can be found elsewhere:

<span>a. $1,158.33
b. $1,069.23
c. $2,316.66
d. $1,539.22
</span>
Below is the solution:
$27,800 / 12 months = 2,316
$2,316 / 2 since it bi-monthly = $1,158.33

Thank you for posting your question here. I hope the answer helps. 

3 0
3 years ago
Please help!
kirill115 [55]

Answer:

73 and 113 / 144 ft^2

Step-by-step explanation:

Lets convert everything into pure feet.

10ft 5in = 10 and 5/12 feet = 125/12 feet

14ft 2in = 14 and 1/6 feet = 85/6

Now lets calculate area:

1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144

3 0
2 years ago
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