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2 years ago

Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.

Mathematics

1 answer:

Citrus2011 [14]2 years ago

4 0

Answer:

Step-by-step explanation:

PEMDAS

anything done in the parentheses comes first

so you have to add first then multiply

this is not the distributive property unless the two numbers in parentheses are not like terms

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Please help and thank you

ycow [4]

Answer:

D) 130 workers

Step-by-step explanation:

We have the equation, y = 2x + 40, and y, 300 (since the y-coordinate represents the # of bottles made), so we can solve for x, the number of workers needed.

Substitute: 300 = 2x + 40

Subtract: 260 = 2x

Divide: x = 130

Since x = 130 when y = 300, 130 workers are required to make 300 bottles in a day.

4 0

3 years ago

A can of tuna fish is a cylinder with a height of 1.75 inches and a diameter of 3 inches. If the can is half full, how many cubi

zlopas [31]

Answer: $6.185in^3$

Step-by-step explanation:

The formula for calculate the volume of a cylinder is:

$V_{cylinder}=\pi r^2h$

r is the radius of the cylinder and h is the height of the cylinder.

Given the diameter of 3 inches, calculate the radius of the cylinder with:

$r=\frac{d}{2}$ (Where d is the diameter)

$r=\frac{3in}{2}=1.5in$

Knowing the height and the radius, you can calculate the volume of the entire can of tuna:

$V_{can}=\pi (1.5)^2(1.75in)=12.37in^3$

As you want to know the cubic inches of tuna that are in the can (volume of tuna), and you know that the can is half full, then:

$V_{tuna}=\frac{V_{can}}{2}\\\\V_{tuna}=\frac{12.37in^3}{2}\\\\V_{tuna}=6.185in^3$

5 0

3 years ago

Read 2 more answers

The first term of an arithmetic sequence is -5, and the tenth term is 13.

Nitella [24]

Answer:

The common difference is 2

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+d(n-1)

a1 = -5

a10 = 13

Substituting n=10 a10=13 and a1 =-5

13 = -5 +d (10-1)

13 = -5 +9d

Add 5 to each side

13+5 = -5+5 +9d

18 = 9d

Divide each side by 9

18/9 = 9d/9

2 =d

7 0

3 years ago

Find the length of side x in simplest radical form with a rational denominator.

madreJ [45]

Answer:

x=2√5

Step-by-step explanation:

1st method:

sin(30)=opposite/hypotenuse=√5/x

sin(30)x=√5

x=√5/sin(30)

x=2√5

2nd method:

cos(60)=adjacent/hypotenuse=√5/x

cos(60)x=√5

x=√5/cos(60)

x=2√5

3rd method:

This is a 30-60-90 triangle, so we can multiply the short side, √5, by 2, to get x=2√5

8 0

3 years ago

Find the area enclosed by y=3, the x-axis and ordinates x=0 and x=4

anygoal [31]

Answer:

A=6

Step-by-step explanation:

If the area is enclosed by x(0,4) and y(3)

That means the area is a triangle

h(height) =3 b=4 c**2=a**2+b**2 c=5

The area of an equlateral triangle is A=h*b/2

A=3*4/2=12/2

3 0

3 years ago

Read 2 more answers