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enot [183]
3 years ago
15

The longest leg of a right triangle is 12 inches. The hypotenuse is 3 inches longer then twice the shortest leg. How long is the

shortest leg and the hypotenuse of the triangle.
Mathematics
1 answer:
Llana [10]3 years ago
6 0

Answer:

Shortest Leg: 5 inches, Hypotenuse: 13 inches

Step-by-step explanation:

A right triangle follows the pythagorean theorem, a^2+b^2=c^2. C is the hypotenus. A combination found using this is 5, 12, and 13. To double check this, we know that the hypotenus is 2x+3, where x is the smallest leg.

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Perform the multiplication. Simplify the answers. 2 √30*( √5+ √6+ √10+ √15)
Delicious77 [7]

The simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

The expression is given as:

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2\sqrt{30} \times \sqrt5+  2\sqrt{30} \times \sqrt6+  2\sqrt{30} \times \sqrt{10} +  2\sqrt{30} \times \sqrt{15}

Factor out 2

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{30} \times \sqrt5+  \sqrt{30} \times \sqrt6+  \sqrt{30} \times \sqrt{10} +  \sqrt{30} \times \sqrt{15})

Combine the radicals

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{150} +  \sqrt{180}+  \sqrt{300} +  \sqrt{450})

Expand the expression

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(\sqrt{25 \times 6} +  \sqrt{9 \times 20}+  \sqrt{100 \times 3} +  \sqrt{225\times 2})

Evaluate the roots

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) = 2(5\sqrt{6} +  3\sqrt{20}+  10\sqrt{3} +  15 \sqrt{2})

Expand

2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15}) =10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Hence, the simplified expression of 2\sqrt{30} \times (\sqrt5+ \sqrt6+ \sqrt{10} + \sqrt{15})is 10\sqrt{6} +  6\sqrt{20}+  20\sqrt{3} +  30\sqrt{2}

Read more about simplified expressions at:

brainly.com/question/8008182

3 0
2 years ago
What is the value of X
NISA [10]

Answer:

The Value of X in 2nd one can be 14√3.

The Value of X in 1st one can be 6√3.

Step-by-step explanation:

2.)here we used tan 60° formula with P/B as x/14 respectively.

as the value of tan 60° is √3, we got,

√3= x/14

x= 14√3.

1.) Here we used sin 30° formula with 1/√2 as P/H

so we got,

6/x= 1/√2

hence the answer comes:-

x= 6√2..

Hope so it helped you........

8 0
3 years ago
Read 2 more answers
I need help with this math questions can anyone help Thanks.<br> Can u help me on #1 and#2
Fynjy0 [20]
1.
yes
x is number of group acts
y is number of indivual acts


2. I would eliminate x by multiplying 2nd equation by -3 then adding

12x+6y=120
<u>-12x-3y=-90 +
</u>0x+3y=30

3y=30
divide by 3
y=10

sub
4x+y=30
4x+10=30
4x=20
divide 4
x=5

each group act takes 5 mins and each individual takes 10 minutes
<u /> 

4 0
3 years ago
Was is 29.15 as a mixed number in simplest form
Sergeeva-Olga [200]
29.15 is a mixed number in simplest form is 293/20
3 0
3 years ago
PLZ HELP, WILL GIVE BRAINLIEST!!!
ahrayia [7]

Answer:

i would say a senior citizen ticket i 3 dollars and the child tickets are 5 dollars

Step-by-step explanation:

7 0
2 years ago
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