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2 years ago

What’s the height of a right triangle with an angle that measures 45 degrees and a base of 16?

Mathematics

1 answer:

nikklg [1K]2 years ago

7 0

I got h = 11.31371.

Hope this helps!

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<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%7D%20%20-%20%20%20%7B3%7D%5E%7Bx%7D%20%20%3D%20%20%20%20%5Csqrt%7B%20%7B6%7D

strojnjashka [21]

Answer:

x = 0

Step-by-step explanation:

${2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {9}^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {( {3}^{2}) }^{x } } \\ \\ {2}^{x} - {3}^{x} = \sqrt{ {6}^{x} } - \sqrt{ {({3)}^{2x}}}\\ \\ {2}^{x} - \cancel{{3}^{x}} = \sqrt{ {6}^{x} } - \cancel{ {3}^{x} } \\ \\ {2}^{x} = \sqrt{ {6}^{x} } \\ squaring \: both \: sides \\ \\ {( {2}^{x} )}^{2} = {(\sqrt{ {6}^{x} })}^{2} \\ \\ {2}^{2x} = {6}^{x} \\ \\ {2}^{2x} = {(2 \times 3)}^{x} \\ \\ {2}^{2x} = {2 ^{x} \times 3}^{x} \\ \\ \frac{ {2}^{2x} }{ {2}^{x} } = 3^{x} \\ \\ {2}^{2x - x} = {3}^{x} \\ \\ {2}^{x} = {3}^{x} \\ \\ \frac{ {2}^{x} }{ {3}^{x} } = 1 \\ \\ \bigg( \frac{2}{3} \bigg)^{x} = 1 \\ \\ \implies \: x = 0 \\ \\ \because \: for \: x = 0 \\ \\ \bigg( \frac{2}{3} \bigg)^{0} = 1$

5 0

3 years ago

Can someone help please.

snow_lady [41]

By the Pythagorean theorem
AB = √(12²+5²) = √169 = 13 units

$\frac{AD}{AB} = \frac{BD}{BC} \ \to \ BC= \frac{AB*BD}{AD}= \frac{13*12}{5}= 31.2 \ units$

8 0

3 years ago

If the value of "y" varies directly with "X" and y = -8 when x = 20, find "y" if x = -4.

natka813 [3]

Answer:

y = 10 when x is -4

will be the correct answer

5 0

2 years ago

Answers for both boxes please for 25 points!

MrRa [10]

Answer:

Step-by-step explanation:

you just need to add both equations

you will get 3y=12+6=18

3y=18

y=6

now replace y=6

3x+12=6

3x=6-12

3x=-6

x=-2

(-2,6)

5 0

3 years ago

Read 2 more answers

Try making 100 using: 5,5,5,5,5 ?=100 Help ASAP!

DaniilM [7]

Answer:

(5+5+5+5)*5

20*5=100

4 0

3 years ago

Read 2 more answers