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TEA [102]
3 years ago
15

If x = 49 , what is the value of x(x-10)

Mathematics
1 answer:
vichka [17]3 years ago
4 0

replace 49 for x so

x(x-10) becomes 49(49-10) =

49*39 = 1911

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Mary242 made for 11 hours of work.
MAVERICK [17]

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

<h3>At the same rate, how many hours would she have to work to make 374?</h3>

We know that Mary makes 242 units of something in 11 hours of work, then her rate of work is:

R = (242 units)/(11 hours) = 22 units per hour.

Now, if she wants to make 374 units, then she needs to work for a time T, such that:

(22 units per hour)*T = 374 units.

Solving that linear equation for T, we get:

T = (374 units)/(22 units per hour) = 17 hours

We conclude that, if working at the same rate, to make 374 units, she needs to work for 17 hours.

If you want to learn more about linear equations:

brainly.com/question/1884491

#SPJ1

5 0
1 year ago
The hypotenuse of a right angled triangle is 2√13 cm . If the smaller side is increased by 2 cm and the larger side is increased
White raven [17]

<em><u>Statement:</u></em>

The hypotenuse of a right angled triangle is 2√13 cm. If the smaller side is increased by 2 cm and the larger side is increased by 3 cm, the new hypotenuse will be √117 cm.

<em><u>To find out:</u></em>

The length of the larger side of the right angled triangle.

<em><u>Solution:</u></em>

Let us consider x as the smaller side and y as the larger side.

Then, in the right angled triangle,

x² + y² = (2√13)² ...(I) [By Pythagoras Theorem]

Now, if the smaller side is increased by 2 cm, then the smaller side will be (x + 2).

And if the larger side is increased by 3 cm, then the larger side will be (y + 3).

Then, in the new right angled triangle,

(x + 2)² + (y + 3)² = (√117)² [By Pythagoras Theorem]

or, x² + 2 × 2 × x + 2² + y² + 2 × 3 × y + 3² = (√117)²

or, x² + 4x + 4 + y² + 6y + 9 = (√117)²

or, x² + y² + 4x + 6y + 13 = (√117)²

Now, put the value of x² + y² from equation (I),

or, (2√13)² + 4x + 6y + 13 = (√117)²

or, (2 × 2 × √13 × √13) + 4x + 6y + 13 = (√117 × √117)

or, 52 + 4x + 6y + 13 = 117

or, 4x + 6y = 117 - 52 - 13

or, 4x + 6y = 52

or, 4x = 52 - 6y

or, x = \frac {(52 - 6y)}{4} ...(II)

Now, put the value of x of equation (II) in (I),

x² + y² = (2√13)²

or, \frac {(2704-624y +36y²)}{16} + y² = 52

or, \frac {(2704-624y +36y² + 16y²)}{16}= 52

or, 52y²-624y + 2704 = 52 × 16

or, 52y² - 624y + 2704 - 832 = 0

or, 52y² - 624y + 1872 = 0

or, 52(y² - 12y + 36) = 0

or, y²-12y +36 = 0 ÷ 52

or, y²-12y +36 = 0

or, (y)² - 2 × 6 × y + (6)² = 0

or, (y - 6)² = 0

or, y - 6=0

or, y = 6

We have taken y as the length of the larger side of the right angled triangle.

So, the length of the larger side is 6 cm.

<em><u>Answer:</u></em>

6 cm

Hope you could understand.

If you have any query, feel free to ask.

6 0
2 years ago
Hi I do not need the help but can I have it so here it is “There are 12 girls and 18 boys in a class. What is the largest number
PolarNik [594]
12 groups in a 1:1 ratio of boys:girls. there are only 12 girls so one in each group + 1 boy per group gives you 12 groups. with a remainder of 6 boys
8 0
2 years ago
Read 2 more answers
PLESSE HELP ME ASAP
harina [27]

Answer:

t55=d

Step-by-step explanation:

55 is mph and since t is time t would be multiplied by 55

4 0
3 years ago
HELP FOR BREANTEST ANSWER ON PAPER
nevsk [136]

Answer:

3 3/7

Step-by-step explanation:

2 = 14/7

14/7 + 10/7 = 24/7

24/7 simplified is 3 3/7

8 0
3 years ago
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