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ZanzabumX [31]
3 years ago
7

Please answer it now in two minutes

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer: √3

Step-by-step explanation:

Hi, since the situation forms a right triangle we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle (30°), the hypotenuse is the longest side of the triangle (in this case 2), and the opposite side is x. (not t or 2)

Replacing with the values given:  

Sin 30 = x /2

Sin 30 (2) = x

x=1

Applying the Pythagorean theorem:

c^2 = a^2 + b^2  

Where c is the hypotenuse of the triangle (2) and a and b are the other sides.  

2^2 = t^2 + 1^2

4= t^2 +1

4-1 = t^2

3 = t^2

√3 = t

Feel free to ask for more if needed or if you did not understand something.  

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Solving systems of equations algebraically.
Elanso [62]

Answer:

x = 2

y = -1

Step-by-step explanation:

Since it gives you the value of y already, just plug that into the equation, like so:

y = 4x - 9

x - 3 = 4x - 9

<em><u>Subtract the x from both sides:</u></em>

x - 3 = 4x - 9

-x       - x

__________

-3 = 3x - 9

<em><u>Then, add 9 to both sides:</u></em>

-3 = 3x - 9

+9        + 9

________

6 = 3x

<em><u>Divide both sides by 3:</u></em>

2 = x

<em><u>Now plug in x for y:</u></em>

y = x - 3

y = 2 - 3

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8 0
3 years ago
Explain how you can find the missing number and 3 4/5 divided by something equals 2 5/7 then find the missing number
enyata [817]

let's firstly, convert the mixed fractions to improper, and then do equation.


\bf \stackrel{mixed}{3\frac{4}{5}}\implies \cfrac{3\cdot 5+4}{5}\implies \stackrel{improper}{\cfrac{19}{5}}&#10;~\hfill&#10;\stackrel{mixed}{2\frac{5}{7}}\implies \cfrac{2\cdot 7+5}{7}\implies \stackrel{improper}{\cfrac{19}{7}}&#10;\\\\[-0.35em]&#10;\rule{34em}{0.25pt}


\bf \cfrac{~~\frac{19}{5}~~}{x}=\cfrac{19}{7}\implies \cfrac{~~\frac{19}{5}~~}{\frac{x}{1}}=\cfrac{19}{7}\implies \cfrac{19}{5}\cdot \cfrac{1}{x}=\cfrac{19}{7}\implies \cfrac{19}{5x}=\cfrac{19}{7}&#10;\\\\\\&#10;\stackrel{}{\cfrac{7}{5x}=\cfrac{19}{19}}\implies \cfrac{7}{5x}=1\implies 7=5x\implies \cfrac{7}{5}=x\implies 1\frac{2}{5}=x

5 0
3 years ago
A sample of bacteria is decaying according to a half-life model. If the sample begins with 700 bacteria, and after 10 minutes th
Papessa [141]

Answer:

18 minutes

Step-by-step explanation:

A = A₀ (½)^(t / T)

where A is the final amount,

A₀ is the initial amount,

t is the time,

and T is the half life.

A = 140 when t = 10.  Solve for the half life:

140 = 700 (½)^(10 / T)

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log 0.2 = (10 / T) log 0.5

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Rounded to the nearest whole number, it takes 18 minutes.

4 0
3 years ago
Consider the graph of the linear function h(x) = –6 + x. Which quadrant will the graph not go through and why?
Lesechka [4]
H ( x ) = - 6 + x
m = 1 ( the slope )
b = - 6 ( y - intercept )
x - intercept: 
0 = - 6 + x
x = 6 
The graph is going through Quadrants:  I, II and IV.
Answer:
B ) Quadrant II, because the slope is positive and y-intercept is negative.
6 0
3 years ago
Read 2 more answers
If someone can explain this I will greatly appreciate it. I don’t really understand it.
erma4kov [3.2K]

Answer:

The second answer choice.

Step-by-step explanation:

6 0
3 years ago
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