The length of a rectangle is 5 5 centimeters less than six times six times its width. Its area is 14 14 square centimeters. Find the dimensions of the rectangle.
Answers
Answer:
Dimensions of rectangle are length = 7 cm and width = 2 cm
Step-by-step explanation:
Let l = length and w = width of the rectangle.
Given that, length is 5 cm less than 6 times width. Rewriting it in equation form,
L = 6 w - 5 cm
Also given that area of rectangle is 14 cm²
Now using formula for area of rectangle,
Area of rectangle = length × width
Area of rectangle = l × w
Substituting the values,
14 = (6 w - 5) × w
Simplifying by using distributive rule,
14 = 6 w² - 5 w
To find the value of b, use the quadratic formula. So rewriting the equation in quadratic form ax²+bx+c=0
Subtracting 14 on both sides,
0 = 6 w² - 5 w - 14
Rewriting,
6 w² - 5 w - 14 = 0
Now applying quadratic formula,
Rewriting the formula in terms of w,
From the 6 w² - 5 w - 14 = 0, value of a = 6 , b = - 5 and c = - 14.
Substituting the values,
Simplifying,
Since √361 = 19,
There will be two values of w,
and
Simplifying,
and
and
Reducing the fraction in lowest form, divide first expression by 12 and second expression by 2.
and
Since the length of width cannot be negative, so value of w = 2 cm
To find the value of length, Use equation L = 6 w - 5 cm
L = 6 (2) - 5 cm
L = 12 - 5 cm
L = 7 cm
Therefore l = 7 cm and w = 2 cm are the dimensions of the rectangle.
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4.702 x 10–4 i need this answer in standard notation .
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Answers
Answers
1.96+b²=9.61
b²=7.65
b=√7.65
b=2.8(rounded to the nearest tenth)
5²+12²=C²
25+144=c²
169=c²
c=√169
c=13cm
6²+3²=c²
36+9=c²
c²=45
c=√45
c=6.7ft ( rounded to the nearest tenth)
1.4² + b² = 3.1²
1.96 + b² = 9.67
-1.96 -1.96
b² = 7.71
b ≈ 2.78
-----------------------------------------------------------------------------------------------
a² + b² = c²
5² + 12² = c²
25 + 144 = c²
169 = c²
13 = c
-----------------------------------------------------------------------------------------------
a² + b² = c²
6² + 3² = c²
36 + 9 = c²
45 = c²
6.71 ≈ c
Answers
the answer is 1/18 i belive bc in the way u asked this is kinda confusing so im sorry if im wrong
Answers
Answer:
$18
Step-by-step explanation:
In order to find what the price after the 50% markup is, me must first divide 12 by 50% so we know how much to add.
12 x 50% = 6
So in order to find our mark up price e must add 6, or 50% to 12.
6 + 12 = 18 so your answer is $18.
Hope this helps!
Answers
Answer:
(2x+1)(x+7)
Step-by-step explanation:
2
2.5
5
Answers
The multiplicative rate of change of the function passing through ordered pairs (0, 10), (1, 5), and (2, 2.5), represented by the function f(x) = 10(0.5)ˣ is 2
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables
The ordered pairs (0, 10), (1, 5), and (2, 2.5) can be represented by the function f(x) = 10(0.5)ˣ.
Hence the rate of change of the function = 0.5
The multiplicative rate of change of the function = 1/0.5 = 2
Find out more on equation at: brainly.com/question/2972832
f(n) = 10 (0.5)^n
rate = f(n+1)/f(n) = [10(0.5)^(n+1)] / 10(0.5)^n] = (0.5)^(n+1-n) = (0.5)^1 = 0.5
Answer: 0.5