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EastWind [94]
3 years ago
14

In a 30,60,90 triangle the length of the hypotenuse is........ times the length of the short leg

Mathematics
1 answer:
8_murik_8 [283]3 years ago
6 0
The hypothenuse of a triangle 30, 60 or 90, is always two times the length of the short leg
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Use the substitution and to rewrite the equations in the system in terms of the variables and . Solve the system in terms of u a
Tatiana [17]

Answer:

x = -1 and y = 1/2

Step-by-step explanation:

Let u = 1/x, and v = 1/y

Then the pair of equations

-3/x + 4/y = 11

1/x - 2/y = -5

Can be written as

-3u + 4v = 11 .................................(1)

u - 2v = -5......................................(2)

From (2)

u = 2v - 5 .......................................(3)

Substituting (3) into (1)

-3(2v - 5) + 4v = 11

-6v + 15 + 4v = 11

-6v + 4v = 11 - 15

-2v = -4

v = 4/2 = 2

Substituting this value of v in (3)

u = 2v - 5

u = 2(2) - 5

= 4 - 5

= -1

That is

u = -1, v = 2

Since u = 1/x, and v = 1/y, we have

1/x = -1

=> x = -1

And

1/y = 2

=> y = 1/2

Therefore

x = -1 and y = 1/2

4 0
2 years ago
Use a table to identify three equivalent ratios of 2/5.
zlopas [31]

Answer: The simplest form of ratio 6:15=2×3:5×3=2:5

Step-by-step explanation: So, 2:5 is equivalent to 6:15.

7 0
1 year ago
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Westkost [7]

Answer:

1.333 repeated

Step-by-step explanation:

8 0
2 years ago
Mrs.smith earns $3500 a month. She saves $280 a month. Savings is what percent of her income?
arlik [135]

Answer:

3500 280

Step-by-step explanation:

280/3500

280 divided by 3500 times 100 (type this into a calculator)

its 8 her savings are 8 percent of her income

4 0
3 years ago
Rock-music sales represented 24.8% of the total music sales in 2000. By 2007, rock-music sales represented 32.4% of the total mu
baherus [9]

Answer:

Unit Rate of Change = 1.27%

Step-by-step explanation:

In 2000, t=1 and Total Music sales = 24.8%

In 2007, t=7 and Total Music sales = 32.4%

The Slope  m=\dfrac{32.4-24.8}{7-1} =\dfrac{7.6}{6}=1.27\%

The Unit Rate of Change is 1.27% and it means that the Total Music Sales Increased by approximately 1.27% every year.

8 0
3 years ago
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