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3 years ago

What reference angle in the first quadrant corresponds to theta = -120? Answer in radians.

2 answers:

4 0

To draw theta=-120° in the unit circle, we move clockwise 90°, then another 30°.

This means that we pass the fourth quadrant and stop in the third quadrant.

The reference angle of an angle theta in the third quadrant, is theta + 180°.

So the reference angle of -120° is -120°+180°=60°.

360° are 2π Radians
then 60° are 1/6 of 2π Radians = π/3 Radians

Answer: Reference angle is π/3 Radians

Eduardwww [97]3 years ago

3 0

Answer:

Answer: Reference angle is π/3 Radians

Step-by-step explanation:

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10x^3+40x^2+15x ------------------------------ 5x

Anna71 [15]

Answer:

Step-by-step explanation:

$\dfrac{10x^3 + 40x^2 + 15x}{5x}\\ \dfrac{10x^3}{5x} +\dfrac{40x^2}{5x}+\dfrac{15x}{5x}$

2x^2 + 8x + 3 is your final answer.

4 0

3 years ago

Help please I don’t understand

Phantasy [73]

The height of the object after 1 sec is 284 feet

<h3>Equation of height of an object</h3>

Given the equation of height of an object expressed as:

h(t) = -16t^2 + 300t

We are to find the height of the object after 1 sec. To do that, we will substitute t = 1 into the following expression

h(t) = -16t^2 + 300t

h(1) = -16(1)^2 + 300(1)

h(1) = -16 + 300

h(1) = 284ft

Hence the height of the object after 1 sec is 284 feet

Learn more on maximum height here: brainly.com/question/12446886

3 0

2 years ago

How do you solve x^2 plus 16x plus 63=0?

Alex

$x^2+ 16x + 63=0 \\ \\a=1, \ b=16 , \ c=63 \\ \\ \Delta =b^2-4ac =16^2 -4\cdot1\cdot 63 = 256 -252 = 4 \\ \\x_{1}=\frac{-b-\Delta }{2a}=\frac{-16-\sqrt{4}}{2 }=\frac{-16-2}{2}=-\frac{-18}{2}=-9 \\ \\x_{2}=\frac{-b+\Delta }{2a}=\frac{-16+\sqrt{4}}{2 }=\frac{-16+2}{2}=-\frac{-14}{2}=-7 \\ \\ \\Answer : \ x= -7 \ \ or \ \ x= -9$

8 0

3 years ago

The quality control manager of a light bulb factory needs to estimate the average life of a large shipment of light bulbs. The p

eimsori [14]

Answer:

b) yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 64

Given standard deviation of the Population (σ)=100

Mean of the sample (x⁻) = 350 hours

95% of confidence interval is determined by

$(x^{-} -Z_{0.95} \frac{S.D}{\sqrt{n} } , x^{-} +Z_{0.95} \frac{S.D}{\sqrt{n} } )$

( $(350 -1.96 \frac{100}{\sqrt{64} } , 350+1.96\frac{100}{\sqrt{64} } )$

(350-24.5 , 350+24.5)

(325.5 , 374.5)

Conclusion:-

Yes

The manufacturer has the right to state that the light bulbs last on average 400 hours

4 0

3 years ago

The lifespans of crocodiles have an approximately Normal distribution, with a mean of 18 years and a standard

antiseptic1488 [7]

Answer:

0.0618.

Step-by-step explanation:

14-18= -4

-4/2.6= -1.538

Use the Z-table to find the proportion that aligns with 1.54 (round up because of the 0.008)

The intersection between 1.5 and 0.04 will be 0.0618.

5 0

2 years ago