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storchak [24]
3 years ago
11

A right-angled triangle has sides of lengths (x+5)cm, (x-3)cm and 9cm. Calculate the value of x

Mathematics
1 answer:
Arturiano [62]3 years ago
6 0

Answer:

x=4.0625 cm

Step-by-step explanation:

The Pythagorean theorem states that the square of the hypotenuse of a right triangle equals the sum of the squares of the two legs.

Not knowing which is the hypotenuse, lets assume that (x+5)cm is the hypotenuse:

(x+5)^2= 9^2+(x-3)^2

(x^2+10x+25)=81+(x^2-6x+9)

x^2+10x+25=81+x^2-6x+9

16x=65

x=4.0625

Checking:

(4.0625+5)^2=9^2+(4.0625-3)^2

82.1289=82.1289

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10 points
soldi70 [24.7K]

Answer:

Here we have two inequalities.

P is price of the gallon,we have that:

$2.40 ≤ P ≤ $2.65

C is the amount of gallons that Ricardo buys each week.

8,5 ≤ C ≤ 11

Now, with this you can find the maximum and minimum amount that he can spend on a week.

The minimum is when he buys only 8.5 gallons and the price per gallon is $2.40

Cost = 8.5*$2.40 = $20.4

The maximum cost is when he buys 11 gallons, and the price of the gallon is $2.65

Cost = 11*$2.65 = $29.15

So the amount that he spends per week in gas, S, is:

$20.4 ≤ S ≤  $29.15

3 0
3 years ago
What the answer is I don't get it
NISA [10]

The answer is 1/2 because 1 = 2/2 3/2 minus 2/2 = 1/2

6 0
3 years ago
Read 2 more answers
Please answer!!
Liula [17]

Answer first three words

Step-by-step explanation:

8 0
3 years ago
Please answer these questions quick thank you!
BabaBlast [244]

Answer:

3

Step-by-step explanation:

8 0
2 years ago
Factor −1/2−1/2 out of −1/2x+6.
pochemuha
That's unusual:  repetition:  -1/2 - 1/2.

Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?

Let's do that.  Let's rewrite 6 as (-1/2)(-12).

Then (-1/2)x + 6       (-1/2)x -(1/2)(-12)
         --------------  =  ------------------------  = x - 1/2
             -1/2                     -1/2

Hope that's what you wanted.  If not, please try to apply a similar approach to solving this particular problem.

3 0
4 years ago
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