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patriot [66]
3 years ago
12

The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hy

potenuse is 9 inches more than twice the length of the shorter leg. Find the side lengths of the triangle.​
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

9514 1404 393

Answer:

  15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

  (2x +9)² = (2x +6)² +x²

  4x² +36x +81 = 4x² +24x +36 +x²

  x² -12x -45 = 0 . . . . . subtract the left-side expression

  (x -15)(x +3) = 0 . . . . factor

  x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

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the perimeter of a rectangle is 68ft the ratio of the length to the width iss 9:8 what are the dimensions of the rectangle
NikAS [45]

Answer:


Step-by-step explanation:

2 * L + 2 * W = 68  

2*L = 2* 9x = 9x + 9x  

2*W = 2*8x = 8x + 8x  

Since the perimeter is 68  

9x + 9x + 8x + 8x = 68

4 0
3 years ago
Radium 226, which had been used for cancer treatment, decays with a half-life of 1622 years. suppose there is a 6 gram sample of
sveticcg [70]
This is a relatively simple half life calculation.
To go from 6 to 3 grams, 1622 years is required.
3 to 1.5 grams another 1622 years is required.
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3 0
3 years ago
Jika 5log2 = x dan 5log6 = y, maka nilai 4log150 adalah​
icang [17]

Menjawab:

y + 2x

Penjelasan langkah demi langkah:

Menulis ulang pertanyaannya

4log5 = x

4log 6 = y

4 log 150 = 4log (2 * 3 * 5 * 5)

= 4log 6 + 4log 5 + 4log 5

Substrat

= y + x + x

= y + 2x

Oleh karena itu ekspresi yang dibutuhkan adalah y + 2x

7 0
3 years ago
Two cities have nearly the same​ north-south line of 117 degrees Upper W. The latitude of the first city is 29 degrees Upper N c
Mariulka [41]

Answer:

1117 km

Step-by-step explanation:

Because the two cities are approximately on the same North-South line, they are on the same longitude. The difference in their latitudes is 39° - 29° = 10°. We are subtracting because they are both in the northern hemisphere. The distance between them is

\dfrac{10}{360}\times2\pi\times6400 \text{ km} = 1117 \text{ km}

4 0
3 years ago
PLZ HELP DUE IN 1 HOUR Do you think the mean would be an appropriate measure of center to describe the data shown in the histogr
grigory [225]

Answer:

Step-by-step explanation:

the mean would be appropriate measure of center to describe the data shown in the histogram because the data is symmetrical.A symmetric histogram is a distribution in which the 2 halves appear to be the same on both sides.

3 0
3 years ago
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