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2 years ago

Which numbers complete the blanks when solving the equation cos(x+2π) = - √2/2 over the interval [0,2π]

Mathematics

1 answer:

Fudgin [204]2 years ago

6 0

Answer:

x = 3π/4, 5π/4

Step-by-step explanation:

cos(x+2π) = -√2/2, [0,2π]

cos(x)cos(2π)-sin(x)sin(2π) = -√2/2

cos(x) = -√2/2

x = 3π/4, 5π/4

Remember that the cosine function is periodic, so cos(θ+2π)=cos(θ).

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Jade and Eros practice piano over the weekend.

skad [1K]

50 minutes - 20 minutes = 30 minutes. Eros practiced for 30 more minutes than Jade.

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4 years ago

O GEOMETRY Volume of a sphere The radius, R, of a sphere is 8.3 mm. Calculate the sphere's volume, V. Use the value 3.14 for , a

ioda

ANSWER

2393.9 mm³

EXPLANATION

The volume of a sphere of radius R is,

$V=\frac{4}{3}\pi R^3$

In this case, the radius of the sphere is 8.3 mm. Using π = 3.14, the volume is,

$V=\frac{4}{3}\cdot3.14\cdot8.3^3mm^3=2393.881573\text{ }mm^3\approx2393.9\text{ }mm^3$

Hence, the volume of the sphere is 2393.9 cubic millimeters, rounded to the nearest tenth.

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1 year ago

Which graph represents the function y=5(1/3)x

Marrrta [24]

Answer:

the answer is the b) second graph because the equation matches the graph ,and the y is intercept is 5

8 0

3 years ago

Read 2 more answers

Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.

Olenka [21]

Answer:

$\frac{(9-x)}{3x}$

Step-by-step explanation:

we have

$\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}$

step 1

Solve the numerator of the quotient

$\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}$

step 2

substitute in the original expression

$\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}$

$\frac{(x-3)(9-x)}{3x(x-3)}$

step 3

simplify

$\frac{(9-x)}{3x}$

5 0

3 years ago

X/6 - 5 = 13<br><br> What does "x" equal in this equation???

ExtremeBDS [4]

X/6 - 5 = 13
x/6 = 13 + 5
x/6 = 18
x = 18*6
x = 108

Verify:
108/6 - 5 = 13 ?
18 - 5 = 13
13 = 13 (yes)

5 0

4 years ago