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3 years ago

Which of the following quantities are directly proportional:

Mathematics

1 answer:

Zepler [3.9K]3 years ago

4 0

Answer:

Area ∝ Length.

Step-by-step explanation:

If the length of a rectangle is L and width is W, then the area of the rectangle is given by A = LW.

Now, it is given that the width of a rectangle is constant and it is 6 cm.

Therefore, the relation between the length of the rectangle in cm with the area of the rectangle in cm² will be A = 6L.

So, it is clear from the above relation that Area (A) is proportional with its length (L) and the constant of proportionality is 6. (Answer)

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How to differenciate natural,whole,integers,rational,irrational numbers and real numbers sets from -12 to 49 and draw numbers li

slavikrds [6]

Answer:

Step-by-step explanation:

Natural Numbers :

These are numbers used for counting, they are the numbers on a number line. From -12 to 49, the natural numbers are 1, 2, 3, ..., 49.

Whole Numbers:

These are numbers that can be written without havin to write in fractions. They are 0, 1, 2, ..., 49.

Rational Numbers:

These are numbers that can be expressed as fractions.

Irrational numbers :

These are numbers that cannot be expressed as fractions.

Real Numbers:

These are numbers that can be used to measure quantities, they include negative, positive numbers and zero. From -12 to 49, all the numbers are real.

Prime Numbers:

These are numbers that are divisible only by one and themselves.

From 7 to 49, the numbers divisible by 7 are 7, 14, 21, 28, 35, 42, and 49.

Only 7 is prime.

3 0

3 years ago

The coordinates of the vertices of □PQR are (-2,5), Q(-1,), and R(7,3). Determine whether □ PQR is a right triangle. Show Your W

alexdok [17]

Answer:

Slope of PQ

−

(

−

)

−

Slope of QR

−

(

−

)

Slope of RP

−

Since slopes PQ & PR,

−

, it's a right triangle

4 0

3 years ago

Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2π). (Enter your answers as a comma-separated list

lara31 [8.8K]

Sin(2θ)+sin(θ)=0
use double angle formula: sin(2θ)=2sin(θ)cos(θ).
=>
2sin(θ)cos(θ)+sin(θ)=0
factor out sin(θ)
sin(θ)(2cos(θ)+1)=0
by the zero product property,
sin(θ)=0 ...........(a) or
(2cos(θ)+1)=0.....(b)
Solution to (a): θ=k(π)
solution to (b): θ=(2k+1)(π)+/-(π)/3
for k=integer

For [0,2π), this translates to:
{0, 2π/3,π,4π/3}

8 0

3 years ago

A company earns a weekly profit of P dollars by selling x items, according to the equation P(x)=-5x^2+40x-300. How many items do

STALIN [3.7K]

Since the equation is:

P(x)=-5x^2+40x-300

Solving the equation by using the calculator, the values for x are:

x = 4.72

Therefore, the company must sell 8 items per week to maximize the profit.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

3 0

3 years ago

If 2/-5 x=-10/x what is the value of x

Dima020 [189]

Answer:

± 5

Step-by-step explanation:

2x/-5 = -10/x

2x^2 = 50

x^2 = 25

x = ± 5

3 0

3 years ago

Read 2 more answers