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ch4aika [34]
3 years ago
12

Consider the equation below. (if an answer does not exist, enter dne.) f(x) = 5 cos2(x) − 10 sin(x), 0 ≤ x ≤ 2π

Mathematics
1 answer:
jolli1 [7]3 years ago
4 0
The given equation is a wave function. When plotted, the graph is shown in the attached picture. However, the unit is in degrees instead of radians. A unit of π  is equivalent to 180°. This plot could determine one variable if the other is given.

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Indicate in standard form the equation of the line passing through the given points G (4,6) H (1,5)
Delicious77 [7]

First, find the slope (m) = \frac{y2 - y1}{x2 - x1} = \frac{5 - 6}{1 - 4} = \frac{-1}{-3} = \frac{1}{3}

Now plug in ONE of the points and the slope into the point-slope equation:

y - y₁ = m(x - x₁); where (x₁, y₁) is the chosen point.

y - 5 = \frac{1}{3}(x - 1) (I used (1,5) as the chosen point)

3(y - 5) = x - 1

3y - 15 = x - 1

3y -14 = x

-14 = x - 3y → x - 3y = -14

Answer: x - 3y = -14

4 0
3 years ago
Find the volume of a trough 5 meters long whose ends are equilateral triangles, each of whose
yawa3891 [41]

Answer:

V=5\sqrt{3}\ m^3

Step-by-step explanation:

we know that

The volume of a trough is equal to

V=BL

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of  equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

B=\frac{1}{2} b^{2} sin(60\°)

where

b=2\ m

sin(60\°)=\frac{\sqrt{3}}{2}

substitute

B=\frac{1}{2}(2)^{2} (\frac{\sqrt{3}}{2})

B=\sqrt{3}\ m^{2}

step 2

Find the volume of a trough

V=BL

we have

B=\sqrt{3}\ m^{2}

L=5\ m

substitute

V=(\sqrt{3})(5)

V=5\sqrt{3}\ m^3

3 0
4 years ago
Please help me lol I need it picture should be below ​
musickatia [10]

9514 1404 393

Answer:

  m∠Y = 40°

Step-by-step explanation:

The sum of complementary angles is 90°. If we let s and y represent m∠S and m∠Y, respectively, the angle measures in degrees satisfy ...

  s + y = 90

  (4y -110) +y = 90 . . . . . . . . substitute for s

  5y = 200 . . . . . . . . . add 110

  y = 40 . . . . . . . divide by 5

The measure of angle Y is 40°.

4 0
3 years ago
Natalie started babysitting to earn money. The first week, she earned $10. Each additional week, Natalie earned $5 more than the
Evgesh-ka [11]

Answer:

x value: start with 0 and go up by 1

y value:start with 10 and each week is 5 more than previous week

Step-by-step explanation:

5 0
3 years ago
-x+ 2y = 10<br> -3x+By = 11
adoni [48]

Answer:

change the equation into one variable.

2 y equals 10 + x

y equals 5 + x by 2

now put that into the second equation

-3x + b parentheses 5 + x / 2 equals 11

-3x+b(5+ x/2)

-3x + b5 + bx/2 = 11

8 0
3 years ago
Read 2 more answers
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