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ivann1987 [24]
3 years ago
9

find the value of the variable. if your answer is not an interger, leave it in simplest radical form.

Mathematics
1 answer:
kotykmax [81]3 years ago
4 0

Answer:

A

Step-by-step explanation:

using the sine ratio in the right triangle, then

sin 45° = \frac{opposite}{hypotenuse} = \frac{x}{5}

multiply both sides by 5

note the exact value of sin 45° = \frac{\sqrt{2} }{2}

x = 5 × sin 45° = 5 × \frac{\sqrt{2} }{2} = \frac{5\sqrt{2} }{2}




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Rationalize the numerator. <br><img src="https://tex.z-dn.net/?f=%20%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B144x%20%7D%20%7D%7B%20%5Csq
Simora [160]

rationalizing the numerator, or namely, "getting rid of that pesky radical at the top".


we simply multiply top and bottom by a value that will take out the radicand in the numerator.


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\bf \cfrac{2(18x)}{\sqrt[3]{324x^2y}}~~&#10;\begin{cases}&#10;324=2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 3\\&#10;\qquad 12\cdot 3^3&#10;\end{cases}\implies \cfrac{36x}{\sqrt[3]{12\cdot 3^3x^2y}}&#10;\\\\\\&#10;\cfrac{36x}{3\sqrt[3]{12x^2y}}\implies \cfrac{12x}{\sqrt[3]{12x^2y}}

3 0
3 years ago
Read 2 more answers
PLEASE HELP ME AND SHOW ALL WORK THANK YOU!!!!!!
Natalija [7]
M>5=m>4
m>5 and m>7 are on line then m>5+m>7=180
by substituting
m>4+37=180
m>4=143
m>2=m>7=37
m>4=m>8
m<3+m>5=180
7 0
3 years ago
* Show steps
Mila [183]

Step-by-step explanation:

18 seconds to hour

18÷3600= 0.005 hour

accelerstion= velocity÷ time

60 mph÷ 0.005 = 12,000m/h^2

3 0
3 years ago
Why is the product of 9s diagonal?
Nadusha1986 [10]

Answer:

A. With each 9s fact you add another 9, which means you go straight down a row and back one space. This creates a diagonal pattern in the grid.

6 0
3 years ago
-1,<br> Calculate the 16th term in the Geometric Sequence:<br> 3,-9, 27, ....
IgorLugansk [536]

Answer:

=1y -2z

Step-by-step explanation:

3 0
3 years ago
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