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Mrrafil [7]
3 years ago
15

The length of a rectangle is three times it’s width. The area of the rectangle is 48 square centimeters. Find the measures of th

e sides.
Mathematics
1 answer:
denis-greek [22]3 years ago
7 0
---------------------------------------------------------------------------------
Define length and width
---------------------------------------------------------------------------------
Let the width be x
Width = x
Length = 3x

---------------------------------------------------------------------------------
Form equation and solve for x
---------------------------------------------------------------------------------
x(3x) = 48
3x² = 48
x² = 48 ÷ 3
x² = 16
x = √16
x = 4

---------------------------------------------------------------------------------
Find length and width
---------------------------------------------------------------------------------
Width = x = 4
Length = 3x = 3(4) = 12

---------------------------------------------------------------------------------
Answer: Width = 4cm, Length = 12cm
---------------------------------------------------------------------------------
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OleMash [197]

I=PRT/100

1. Make R (rate) subject

R/100= I/PT

2. Substitute and calculate

r/100= i/pt

r/100= 40/400 × 1

(<em>4</em><em>0</em><em> </em><em>i</em><em>s</em><em> </em>from 440-400.<em>T</em><em>h</em><em>e</em><em> </em><em>i</em><em>n</em><em>t</em><em>e</em><em>r</em><em>e</em><em>s</em><em>t</em>)

r/100= 0.1

r/100×100= 0.1×100

r=10% (interest rate per year)

To confirm

I=PRT

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3 years ago
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Scorpion4ik [409]

Answer:

Solution x = - 1

Step-by-step explanation:

3 / (2x+1) = 9 / 3x

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3(3x) = 9(2x + 1)

Distributive property

9x = 18x + 9

Subtract 18x from both sides

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7 0
3 years ago
Write the equation of the circle in standard form: Center (7,0) R=1
Mice21 [21]

Answer:

(x-7)^2+y^2=1

Step-by-step explanation:

Hi there!

Equation of a circle: (x-h)^2+(y-k)^2=r^2 where the circle is centered at (h,k) and the radius is r

<u>1) Plug in the given center (7,0)</u>

(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2

<u>2) Plug in the radius (1)</u>

(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1

I hope this helps!

8 0
3 years ago
Learning Task 3: In your answer sheet, write the letter of the correct answe
miss Akunina [59]

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}

where n is positive integer and n\neq 0

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It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4x^{\frac{1}{2} } - 3x⁴

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It is not a polynomial function because -5 is not a positive integer.

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8 0
3 years ago
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Answer:

45 people are members at the tennis club

Step-by-step explanation:

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Since each of them donated $12.45, then total donated = 12.45x

Since they had $50.25 left over after paying the cost of $510 for the ball, then;

12.45x - 510 = 50.25

12.45x = 510 + 50.25

12.45x = 560.25

x = 560.25/12.45

x = 45

4 0
3 years ago
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