The average of three numbers is x. If the first number is y and the second number is z, what is the third number?

Lillian bought 2.52 pounds of tomatoes and 1.26 pounds of lettuce to make a salad for 18 people. If each person got the same amo

Nuetrik [128]

2.52 pounds + 1.26 pounds = 3.78 pounds of salad ÷ 18 people = .21 pounds of salad per person

you add the pounds because that is everything she used to make the salad. then you divide by 18 because there are 18 people eating the salad and everyone gets exactly the same amount. Hope this helps :) this should help if you have more questions like this :)
(x pounds + y pounds = total pounds, total pounds ÷ # of people = pounds per person)

6 0

4 years ago

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How do I get (tan^2(x)-sin^2(x))/tan(x) equal to (sin^2(x))/cot(x)

shepuryov [24]

$LHS\\ \\ =\frac { \tan ^{ 2 }{ x-\sin ^{ 2 }{ x } } }{ \tan { x } } \\ \\ =\frac { 1 }{ \tan { x } } \left( \tan ^{ 2 }{ x-\sin ^{ 2 }{ x } } \right)$

$\\ \\ =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^{ 2 }{ x } }{ \cos ^{ 2 }{ x } } -\frac { \sin ^{ 2 }{ x\cos ^{ 2 }{ x } } }{ \cos ^{ 2 }{ x } } \right) \\ \\ =\frac { \cos { x } }{ \sin { x } } \left( \frac { \sin ^{ 2 }{ x-\sin ^{ 2 }{ x\cos ^{ 2 }{ x } } } }{ \cos ^{ 2 }{ x } } \right)$

$\\ \\ =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^{ 2 }{ x\left( 1-\cos ^{ 2 }{ x } \right) } }{ \cos ^{ 2 }{ x } } \\ \\ =\frac { \cos { x } }{ \sin { x } } \cdot \frac { \sin ^{ 2 }{ x\cdot \sin ^{ 2 }{ x } } }{ \cos ^{ 2 }{ x } } \\ \\ =\frac { \cos { x } \sin ^{ 4 }{ x } }{ \sin { x\cos ^{ 2 }{ x } } } \\ \\ =\frac { \sin ^{ 3 }{ x } }{ \cos { x } }$

$\\ \\ =\sin ^{ 2 }{ x } \cdot \frac { \sin { x } }{ \cos { x } } \\ \\ =\sin ^{ 2 }{ x } \cdot \frac { 1 }{ \frac { \cos { x } }{ \sin { x } } } \\ \\ =\sin ^{ 2 }{ x } \cdot \frac { 1 }{ \cot { x } } \\ \\ =\frac { \sin ^{ 2 }{ x } }{ \cot { x } } \\ \\ =RHS$

8 0

3 years ago

Which ones are parallel?

amid [387]

The answer is : a||b

3 0

3 years ago

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Andreas patio is composed of a rectangle and a semi circle as shown in the figure below which is the best estimate of the area o

Vladimir79 [104]

Answer:

38.13m²

Step-by-step explanation:

We find the area of ;

Rectangule and semicircle

Area of rectangle :

Length * width

Length = 8m ; width = 3m

Area = 8 * 3 = 24m²

Area of semicircle = 1/2 πr²

Radius, r = 3m

A = 1/2 * 3.14 * 3²

A = 1/2 * 3.14 * 9

A = 14.13 m²

Area of patio :

(24 + 14.13)m²

= 38.13m²

8 0

3 years ago

WILL GIVE BRAINLIEST!!!

Natalka [10]

Volume of a cylinder= (height) x area of the base (circle)

We know the height = 160 cm (given), let's find the radius of the base.

The circumference of the base = 87.92 = 2πR==> R=87.92/(2π) =13.993 cm

Area of circle = πR²=π(13.993)² = 615.128 cm²

Hence the volume of the cylinder = 615.128 x 160 = 92,420.48 cm³

4 0

3 years ago

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