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hodyreva [135]
2 years ago
7

Could someone please help with this Alg 1 question ASAP?

Mathematics
1 answer:
Blizzard [7]2 years ago
5 0
I think it would be B /C I’m so sooo sorry if I’m wrong but um I don’t take this math anymore :)
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Find the unknown side length. Write your answer in simplest radical form.
Eva8 [605]

Answer: 1. x= 20 units,   2. x= 5\sqrt{3} units    3. x= 4\sqrt{2} units.

Step-by-step explanation:

In a right triangle,

Hypotenuse^2= Perpendicular^2+Base^2  (Pythagoras theorem)

1. Hypotenuse = x , Base = 16, Perpendicular = 12

\Rightarrow\ x^2 =12^2+16^2\\\\ \Rightarrow\ x^2=144+256\\\\ \Rightarrow\ x^2=400\\\\ \Rightarrow\ x=\sqrt{400}=20

2. Hypotenuse = 14 , Base = 11, Perpendicular = x

\Rightarrow\ 14^2=x^2+11^2\\\\\Rightarrow\ 196=x^2+121\\\\\Rightarrow\ x^2=196-121\\\\\Rightarrow\ x^2 = 75\\\\\Rightarrow\ x=\sqrt{75}=\sqrt{25\times3}=5\sqrt{3}

3.  Hypotenuse = 9 , Base = x, Perpendicular =7

\Rightarrow\ 9^2=x^2+7^2\\\\\Rightarrow\ 81= x^2+49\\\\\Rightarrow\ x^2=81-49\\\\\Rightarrow\ x^2=32\\\\\Rightarrow\ x=\sqrt{32}=\sqrt{16\times2}\\\\\Rightarrow\ x=4\sqrt{2}

5 0
2 years ago
james ran 25/100 of a mile yesterday and his friend Natasha ran 4/10 of a mile. who ran farther and how do u know​
Elanso [62]

Answer: Natasha ran further

Step-by-step explanation:

1. Simplify both fractions into a common denominator:

25/100 and 40/100

2. Compare:

40/100 > 25/100

3. Answer:

Natsha ran further

Have a nice day! :D

7 0
2 years ago
Read 2 more answers
Use the distributive property to create an equivalent expression of
Nookie1986 [14]
<span><span>9<span>(6j+2+j)</span></span><span>9<span>(6j+2+j)</span></span></span>Add <span><span>6j</span><span>6j</span></span> and <span>jj</span> to get <span><span>7j</span><span>7j</span></span>.<span><span>9<span>(7j+2)</span></span><span>9<span>(7j+2)</span></span></span>Apply the distributive property.<span><span>9<span>(7j)</span>+9⋅2</span><span>9<span>(7j)</span>+9⋅2</span></span>Multiply <span>77</span> by <span>99</span> to get <span>6363</span>.<span><span>63j+9⋅2</span><span>63j+9⋅2</span></span>Multiply <span>99</span> by <span>22</span> to get <span>1818</span>.<span>63j+<span>18</span></span>
6 0
2 years ago
A rectangle has dimensions of 12 cm long and 10 cm wide what is the area of the rectangle
LiRa [457]

The area and the width are known as 60 and 12 respectively. Rearranging that equation above, and plugging the values, one gets the value of the length of the rectangle as 5.

3 0
3 years ago
The data points represent the number of swimmers at
Ronch [10]

Answer:

44 swimmers

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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