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Ksenya-84 [330]
2 years ago
13

A rectangle with length n and height m. A right triangle with hypotenuse n + 1, length n, and height m.

Mathematics
1 answer:
Oksana_A [137]2 years ago
8 0

9514 1404 393

Answer:

  C. 12cm

Step-by-step explanation:

The equation for the perimeter of the rectangle is ...

  P = 2(L+W)

  34 = 2(n +m)

Solving for m, we get

  m = 17 -n . . . . . . . divide by 2, subtract n

__

The Pythagorean theorem gives the relationship between the sides and the hypotenuse

  m^2 +n^2 = (n+1)^2

  (17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m

  289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses

  n^2 -36n +288 = 0 . . . . . . . put in standard form

  (n -12)(n -24) = 0 . . . . . . . . . factor

  n = 12 . . . . . . . . . . n=24 is an extraneous solution here

The value of n is 12 cm.

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The value of y is directly proportional to the value of x when x=512 y=128 what is the value of y when x=64
luda_lava [24]
Answer: y=16
explanation: y=128 when x=512, so to get the value of y, you need to divide 512/64=8. dividing 512(x) by 8 times gets 64, so you need to divide 8 on the other side(y). 128/8=16. hope this helped!
3 0
1 year ago
Kelly has a rectangular fish aquarium that measures 18 inches long, 8 inches wide, and 12 inches tall.
BigorU [14]

Answer:

a) The maximum amount of water the aquarium can hold is 1728 in³.

b) The cover has to be 624 in² big.

Step-by-step explanation:

a) The maximum volume of water that the aquarium can have is the same as the volume of the aquarium:

V=L×W×H=18 in × 8 in × 12 in= 1728 in³

b) The protective covering is used on the four walls of the aquarium. We have to find the areas of the four walls:

One of them is given by the multiplication of the width and the height:

A₁= W×H= 8 in × 12 in=96 in²

The other area is given by the multiplication of the length and the height:

A₂= L×H= 18 in × 12 in= 216 in²

As the fish aquarium is rectangular the area of the walls is given by:

A_T=2A_1+2A_2=2×96 in²+2×216 in²=624 in²

8 0
2 years ago
Cut 9ft piece into 12inch & Every cut remove 1/8 inch
melamori03 [73]
So each foot is 12 inches so to remove 8 feet to get 12 in you need to remove 8 times 12 inches total or 96 in and each cut removes 1/8 in so times 96 by 8 and get 768 total cuts
6 0
3 years ago
Find the place value of 8 in 2456.1387.<br> Tenths<br> Hundredths<br> Thousandths<br> Thousands
rjkz [21]

Answer: Third Choice. Thousandths

Step-by-step explanation:

<u>Concept:</u>

Here, we need to know the order and name of each place value.

Please refer to the attachment below for the specified names.

<u>Solve:</u>

<em>STEP ONE: Orde and name each place</em>

2 ⇒ One Thousands

4 ⇒ Hundreds

5 ⇒ Tens

6 ⇒ Ones

.

1 ⇒ Tenths

3 ⇒ Hundredths

8 ⇒ One Thousandths

7 ⇒ Ten Thousandths

<em>STEP TWO: Find the number [8] in the number</em>

As we can see from the list above, 8 is at the right of the decimal point, thus, the place value is <u>Thousandths</u>.

Hope this helps!! :)

Please let me know if you have any questions

5 0
2 years ago
1+1+1+1+1+1+1+1+1+1+1+1+2+2+2+2+2+3+3+3+3+3+3+3776857867458675894678476845768478574=
jekas [21]

Answer:

3776857867458675894678476845768478614

Step-by-step explanation:

40+3776857867458675894678476845768478574=

3776857867458675894678476845768478614

8 0
2 years ago
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