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Alexandra [31]
3 years ago
11

Use the point (-6,-8) to give the six trigonometric functions

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0
You can't exactly get the trigonometric functions using a point unless it's a vector,

so tanx = -8/-6 = 4/3 and from it we can get the other functions

sinx = -4/5
cosx = -3/5
secx = -5/3
cscx = -5/4
cotx = 3/4
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20 points! I would really like some help! :) (Question attached below)
snow_lady [41]

Answer:

See below.

Step-by-step explanation:

(a)

To multiply two polynomials, multiply every term of the first polynomial by every term of the second polynomial. Then combine like terms.

(\dfrac{1}{2}x - \dfrac{1}{4})(5x^2 - 2x + 6) =

= \dfrac{1}{2}x \times 5x^2 - \dfrac{1}{2}x \times 2x + \dfrac{1}{2}x \times 6 - \dfrac{1}{4} \times 5x^2 + \dfrac{1}{4} \times 2x - \dfrac{1}{4} \times 6

= \dfrac{5}{2}x^3 - x^2 + 3x - \dfrac{5}{4}x^2 + \dfrac{1}{2}x - \dfrac{3}{2}

= \dfrac{5}{2}x^3 - \dfrac{9}{4}x^2 + \dfrac{7}{2}x - \dfrac{3}{2}

(b)

No. Since the binomials are different, the product of two different binomials and the same trinomial will give different results.

4 0
3 years ago
Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud
Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

m\angle CAE = 30^{\circ}

m\angle EAD = 60^{\circ}

Since,

\tan =\frac{\text{Perpendicular}}{\text{Base}}

\implies \tan 60^{\circ}=\frac{DE}{AE}

\sqrt{3}=\frac{40}{AE}

\implies AE = \frac{40}{\sqrt{3}}

Now,

\tan 30^{\circ}=\frac{CE}{AE}

\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}

\implies CE = \frac{40}{3}

Hence,

The height of the cloud above the lake = CE + ED

=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}

3 0
3 years ago
Find the volume of the composite figure. Explain your thought, explain how your arrived at your answer. SHOW YOUR WORK FOR FULL
kobusy [5.1K]
We assume the composite figure is a cone of radius 10 inches and slant height 15 inches set atop a hemisphere of radius 10 inches.

The formula for the volume of a cone makes use of the height of the apex above the base, so we need to use the Pythagorean theorem to find that.
   h = √((15 in)² - (10 in)²) = √115 in

The volume of the conical part of the figure is then
   V = (1/3)Bh = (1/3)(π×(10 in)²×(√115 in) = (100π√115)/3 in³ ≈ 1122.994 in³


The volume of the hemispherical part of the figure is given by
   V = (2/3)π×r³ = (2/3)π×(10 in)³ = 2000π/3 in³ ≈ 2094.395 in³

Then the total volume of the figure is
   V = (volume of conical part) + (volume of hemispherical part)
   V = (100π√115)/3 in³ + 2000π/3 in³
   V = (100π/3)(20 + √115) in³
   V ≈ 3217.39 in³
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3 years ago
What is the perimeter?<br> O2 cm<br> O<br> 5 cm<br> O<br> 10 cm<br> O<br> 20 cm
notsponge [240]

Answer:

You'll guys is so boring

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a keycode must contain 2 letters and 3 numbers. the letters may be any letter of the alphabet. the numbers should be any number
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