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Vladimir79 [104]

3 years ago

6

The area of a rectangular wall of a barn is 55 square feet. Its length is 66 feet longer than the width. Find the length and wid

th of the wall of the barn.

1 answer:

Phoenix [80]3 years ago

6 0

area = 55 feet

area of rectangle = L x w

l = w+6

55 = w x w+6

55=w^2 + 6w

w^2 +6w -55=0

(w-5) (w+11)

width = 5 feet

length = 5+6 = 11 feet

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If x = 5, y = 3 and z = 9 then evaluate the following expression: x-y+z=

Alex_Xolod [135]

<span> x-y+z=

x = 5
y = 3
z = 9

(5) - (3) + (9) =
2 + 9 = 11

11 is the answer.

</span>

5 0

3 years ago

elena55 [62]

Answer:

a)

<u>The equation would be:</u>

3x + 2 = 7*2

b)

Step 1. <u>Subtract 2 from both sides:</u>

3x = 6*2

Step 2. <u>Divide both sides by 3:</u>

3x/3 = 6*2/3
x = 2*2

c)

A single box weights x= 4 units.

6 0

3 years ago

Read 2 more answers

Choose the most appropriate strategy and then use it to solve the quadratic equation.

dsp73

(x-8) ^ 2 = 121
(x-8) = + / - root (121)
x = 8 +/- root (121)
The solutions are:
x1 = 8 + root (121)
x2 = 8 - root (121)
2a ^ 2 = 8a-6
2a ^ 2-8a + 6 = 0
a ^ 2-4a + 3 = 0
(a-1) (a-3) = 0
The solutions are:
a1 = 1
a2 = 3
x ^ 2 + 12x + 36 = 4
x ^ 2 + 12x + 36-4 = 0
x ^ 2 + 12x + 32 = 0
(x + 4) (x + 8) = 0
The solutions are:
x1 = -8
x2 = -4
x ^ 2-x + 30 = 0
x = (- b +/- root (b ^ 2 - 4 * a * c)) / 2 * a
x = (- (- 1) +/- root ((- 1) ^ 2 - 4 * (1) * (30))) / 2 * (1)
x = (1 +/- root (1 - 120))) / 2
x = (1 +/- root (-119))) / 2
x = (1 +/- root (119) * i)) / 2
The solutions are:
x1 = (1 + root (119) * i)) / 2
x2 = (1 - root (119) * i)) / 2

7 0

3 years ago

I really need help with this please help best aswer gets brainliest

svet-max [94.6K]

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$

The total frequency of the given data is 6+8+4+2+5+2

$Total\ Frequency = 27$

The class with lower limit 27 has a frequency of 2;

Hence;

$Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}$ becomes

$Relative\ Frequency = \frac{2}{27}$

$Relative\ Frequency = 0.07407407407$

$Relative\ Frequency = 0.0741$ (Approximated)

You may also leave your answer in percentage form

$Relative\ Frequency = 0.0741 * 100\%$

$Relative\ Frequency = 7.41 \%$

Hence, the relative frequency is 7.41% or 0.0741

7 0

3 years ago

Read 2 more answers

Find the sum of 1 + 3/2 + 9/4 + …, if it exists.

zmey [24]

Answer:

Option (4)

Step-by-step explanation:

Given sequence is,

$1+\frac{3}{2}+\frac{9}{4}..........$

We can rewrite this sequence as,

$1+\frac{3}{2}+(\frac{3}{2})^2.............$

There is a common ratio between the successive term and the previous term,

r = $\frac{\frac{3}{2}}{1}$

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

Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.

Since sum of infinite geometric sequence is represented by the formula,

$S_{n}=\frac{a}{1-r}$ , when r < 1

where 'a' = first term of the sequence

r = common ratio

Since common ratio of the given infinite series is greater than 1 which makes the series divergent.

Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.

Option (4) will be the answer.

3 0

3 years ago