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Luden [163]
3 years ago
9

Find a numerical value of one trigonometric function of x if sin x cot x = 1/3

Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

Answer:

cosx=0.33

Step-by-step explanation:

We are given that

sinxcotx=\frac{1}{3}

We have to find the numerical value of one trigonometric function.

We know that

cotx=\frac{cosx}{sinx}

Using the formula then we get

sinx\times \frac{cosx}{sinx}=\frac{1}{3}

cox=\frac{1}{3}

cosx=0.33

Hence, the numerical value of one trigonometric function

cosx=0.33

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The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.
lora16 [44]

Answer:

The standard form as y=5x^2+30x+41

Step-by-step explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it  in standard form that in terms of

Given y = 5(x+3)^2-4

Squaring  using (a+b)^2=a^2+b^2+2ab , we get,  

y=5(x^2+9+6x)-4

Multiply 5 inside , we get,

y=5x^2+45+30x-4

Solving further , we get,

y=5x^2+30x+41

Thus , we have obtained the standard form as y=5x^2+30x+41







8 0
3 years ago
Read 2 more answers
Joey has a beach ball with a radius of 20 cm what's the volume of air will it hold when fully infflated
zysi [14]

volume of sphere = V=(4/3)(pi)r^3

 so V = (4/3) x 3.14 x 20^3 = 33,493.33 cubic cm

3 0
3 years ago
Which measures are equivalent to 10 meters​
xz_007 [3.2K]

Answer:

10 meters is equivalent to 100 centimeters.

Step-by-step explanation:

100 centimeters in 1 meter.

3 0
3 years ago
Read 2 more answers
What is the solution of the matrix equation?
katrin [286]

Hello from MrBillDoesMath!

Answer:

The first choice ( -12, 20)



Discussion:

Using matrix multiplication we find the equations:


1x  + 1y = 8                     (A)

2x  + 3y = 36                   (B)


Next, compute

  2(A) - B  =>

         (2x + 2y) - (2x + 3y) = 2*8 - 36    =>

          (2x - 2x) + ( 2y-3y) = 16 - 36 =>

          -y = -20  =>

         y = 20


Substituting this y value in (A) gives

         x + 20 = 8 =>

         x = 8 - 20 =>

        x = -12


The answer is the first choice ( -12, 20)


Thank you,

MrB

6 0
3 years ago
An arc of length 15ft subtends a central angle 0 in a circle of radios 9ft. Find measure of 0 in degrees
Kisachek [45]

Answer:

95.49°

Step-by-step explanation:

The arc length formula is s = rФ, where r is the radius and Ф is the central angle in radians.  Here, r = 9 ft and s = 15 ft.  Thus, the central angle Ф is

Ф = (15 ft) / (9 ft) = 5/3 radians, or

5 rad       180°

------- * ---------- = 95.49°

      3       π rad

6 0
4 years ago
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