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Jlenok [28]
3 years ago
11

Select the correct answer

Mathematics
1 answer:
fgiga [73]3 years ago
3 0
I dont know lol lol lol lol
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What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
Romashka [77]
Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
\\\\\\
\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}
8 0
3 years ago
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What is measure of Arc AC if the m ∠BAC = 28°?
liq [111]
14 degrees.  It equals half the intercepted arc.
(See attached graphic)


8 0
4 years ago
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PLEASE HELP IM STUCK ONLY 3 MORE QUESTIJONS
True [87]

Answer:

y = - 2x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \frac{1}{2} x - 9 ← is in slope- intercept form

with m = \frac{1}{2}

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{\frac{1}{2} } = - 2

y = - 2x + c ← is the partial equation

to find c substitute (3, 2 ) into the partial equation

2 = - 6 + c ⇒ c = 2 + 6 = 8

y = - 2x + 8 ← equation of perpendicular line

3 0
2 years ago
Factor the trinomial below. x2 – 2x – 35 A. (x – 5)(x + 7) B. (x – 5)(x – 7) C. (x + 5)(x – 7) D. (x + 5)(x + 7)
Sophie [7]
c. (x + 5)(x - 7)    use the FOIL method.

x² + 5x - 7x - 35

x² + (5x - 7x) - 35   collect like terms.

x² - 2x - 35   

hope that helps, God bless!
3 0
3 years ago
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Onyango slept at 2040 h on Thursday and woke up after 5 h 20 minutes. At what time did he wake up? A. 2.00 p.m. B. 2.40 a.m. C.
Leni [432]

Answer:

Your answer is C.

Step-by-step explanation:

4 0
2 years ago
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