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11111nata11111 [884]
3 years ago
14

in a 30-60-90 triangle, the hyptenuse has a length of 10. how long is the shorter leg (across from the 30 degree angle)?

Mathematics
1 answer:
larisa [96]3 years ago
6 0

Answer:

5 units

Step-by-step explanation:

in a 30-60-90 triangle, the hypotenuse is 2 times the value of the shorter leg. So, if the hypotenuse is 10, then the shorter leg will be 5 units because 10 ÷ 2 is 5.

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the sum of four times the first number and three times the second number is 15. the difference of three times the first number a
Nana76 [90]

Hey there!

Let's create a systems of equations using x and y.

4x+3y=15

3x-2y=7

We need to solve this using elimination. First, we need to multiply the first equation by 2/3 so that we can cancel out the y's when combining our equations.

2 2/3x+2y=10

3x-2y=7

Now we combine the equations...

5 2/3x=17

x=3

Now we can plug our x into the first equation to find y.

12+3y=15

y=1

Our numbers are 3 and 1.

I hope this helps!

3 0
2 years ago
Write five numbers that round up to 600<br> write five numbers that round down to 600
Mkey [24]
Assuming we are rounding to the nearest 100, five numbers that could be rounded up to 600 are:
550, 567, 579, 580, 599
And five numbers that could be rounded down to 600 are:
601, 610, 625, 630, 649
4 0
2 years ago
Tell whether the sequence is arithmetic if it is identify the common difference -9,-17,-26,-33
aleksklad [387]
No it is not, there is no common difference. <span />
8 0
2 years ago
Read 2 more answers
Bertie has just had a big win at the lotterey. He spends 4/5 of his money on a large house. He spends 3/4 of his remaining money
SpyIntel [72]

Answer:

Total money = $30,00,000

Step-by-step explanation:

Given:

4/5 money spend on house

3/4 remaining money spend on luxury yacht

2/3 remaining money spend on trip to space

Remaining $50,000 to charity

Find:

Total money

Computation:

Assume Total money = x

So,

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Spend on luxury yacht = [x-4x/5]3/4 = 3x/20

Spend on trip to space = [x/5-3x/20]2/3 = x/30

Remaining money = x/20 - x/30 = x/60 = $50,000

So,

x/60 = $50,000

x = $300,000

Total money = $30,00,000

7 0
3 years ago
Daniel bought 3 sweaters that each cost the same amount and a jacket that cost $40. The items he bought cost a total of $100 bef
MA_775_DIABLO [31]
3x+40=100


subtract 40 from both sides

3x= 60

divide by 3

x=20
each Sweater cost 20
3 0
1 year ago
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