A rectangle has a width measuring 6 units and a length measuring x + 4 units. Write and solve an inequality to find the value of x so that the area of the rectangle is more than 36 square units. Justify your answer.

Answer:

the answer is 5,087 or 5,086.8

Answer:

5086.8

Step-by-step explanation:

Answer:

[tex]\approx 13^\circ[/tex]

Step-by-step explanation:

Given two lines with the equations:

[tex]9x - y = 4\\ 8x + y = 6[/tex]

First of all, let us learn the formula for finding the angle between the two lines with given equations:

[tex]tan\theta = \dfrac{m_1-m_2}{1+m_1m_2}[/tex]

[tex]m_1, m_2[/tex] are the slopes of the two lines respectively.

Let us convert the given equation to point intercept form.

Point intercept form of a line is given as:

[tex]y = mx+c[/tex]

[tex]y = 9x-4\\y =-8x+6[/tex]

Comparing with slope intercept form, we get:

[tex]m_1 = 9\\m_2 = -8[/tex]

Using the above formula:

[tex]tan\theta =\dfrac{9 -(-8)}{1+9(-8)}\\\Rightarrow tan\theta = -\dfrac{17}{71}\\\Rightarrow \theta = -13.46^\circ\\[/tex]

Therefore, the acute angle between the two lines is [tex]\approx 13^\circ[/tex]

The acute angles between the equations is 13.46 degree.

To find the acute angles between the two equation, let's write out the individual slope of each equation.

Given Data

The given equations can be rearranged into equation of line.

[tex]9x-y=4\\ y=9x-4\\ slope=m_1=9[/tex]

The second equation can also be rearranged as and solving for the slope

[tex]8x+y=6\\ y=6-8x\\ y=-8x+6\\ slope = m_2 = -8[/tex]

Since we have the slopes of the two equation, we can now find the acute angle between them.

θ = [tex]tan^-^1[\frac{m_1-m_2}{1+m_1m_2}]\\ [/tex]

substituting the values and solving for the angle

[tex]x = tan^-^1[\frac{9-(-8)}{1+(9*-8)}]\\ x = tan^-^1[17/-71]\\ x=-13.46 = 13.46^0[/tex]

The acute angle between the equations is 13.46 degree

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Using the function definition, it is found that the correct option is:

C. No, because a vertical line can be drawn that intersects the graph more than once.

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A similar problem is given at https://brainly.com/question/12463448

Answer:

RS and PT

Step-by-step explanation:

Judging by looks, RS and PT are going the exact same direction, and look like they don't touch. Also, if RSTP is a square, then those two are definitely parallel.

Answer:

21+4

Step-by-step explanation:

3 times 7=21

3 times4=12

21d+4e

Answer:

21d+12e

Step-by-step explanation:

I'm pretty sure thats it if its expanding.

Answer:

1/50, this is the answer for the choices..

Hope this helps you !

Answer:

1/50

Step-by-step explanation:

hope this helped

Answer:

10 1/2

Step-by-step explanation:

Answer:

I'm not sure I understand this. elaborate a bit more and I can help tho :)

The area of the triangle is 126 square units. Then the correct option is D.

Assume 'h' is the height of the triangle and 'b' be the base of the triangle. Then the area of the triangle is given as,

A = (1/2) × h·b

The height of the triangle will be 12 units and the base of the triangle will be 21 units. Then the area of the triangle is calculated as,

A = 1/2 x 21 x 12

A = 21 x 6

A = 126 square units

Thus, the correct option is D.

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Answer:

A Parallelogram.

Step-by-step explanation:

Hope this helps! :)

Answer:

0.2364

Step-by-step explanation:

We will take

Lyme = L

HGE = H

P(L) = 16% = 0.16

P(H) = 10% = 0.10

P(L ∩ H) = 0.10 x p(L U H)

Using the addition theorem

P(L U H) = p(L) + P(H) - P(L ∩ H)

P(L U H) = 0.16 + 0.10 - 0.10 * p(L u H)

P(L U H) = 0.26 - 0.10p(L u H)

We collect like terms

P(L U H) + 0.10P(L U H) = 0.26

This can be rewritten as:

P(L U H)[1 +0.1] = 0.26

Then we have,

1.1p(L U H) = 0.26

We divide through by 1.1

P(L U H) = 0.26/1.1

= 0.2364

Therefore

P(L ∩ H) = 0.10 x 0.2364

The probability of tick also carrying lyme disease

P(L|H) = p(L ∩ H)/P(H)

= 0.1x0.2364/0.1

= 0.2364

Answer:

The area of the yard is 4.34.

Step-by-step explanation:

a = l x w

a = 3.1 x 1.4

a = 4.34

Answer:

Option B.) 12/2 (´⌣`ʃƪ)

Step-by-step explanation:

The rate of a linear equation is equal to the slope m

The slope is equal to

points (2,12) and (4,24)

m=(24-12)/(4-2)

m=12/2

m=6 balls/sec

Answer:

Option B

Step-by-step explanation:

log x=2

x = 10^2

Therefore, the exponential form is the one in option B

Answer:

B

Step-by-step explanation:

Convert to Exponential Form log of x=-2. log(x)=−2 log ( x ) = - 2. For logarithmic equations, logb(x)=y log b ( x ) = y is equivalent to by=x b y = x such that x>0 x

Answer:

26 if we not adding then -12

Step-by-step explanation:

Answer:

3937.01 Inch are in 100 meter

Answer:

pq = st and qu = tr

the last option

Total area of shaded region in trapezoid is 54.4in²

A trapezoid is a four-sided, quadrilateral shape with two parallel sides, which are called the bases, and two non-parallel sides, which are called the legs.

here, we have,

The formula for the area of a trapezoid is:

Area = (1/2) × (sum of the bases) × (height)

The Shaded region in trapezoid form right angled triangle.

Area of 1st shaded region=area of right triangle

=1/2×b×h

=1/2×6.8×7.4

=25.16in²

Area of 2nd shaded region=area of right triangle

=1/2×b×h

=1/2×6.8×8.6

=29.24in²

Hence, total area of shaded region in trapezoid is 54.4in²

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Answer:

8/12 + 3/12

Step-by-step explanation: multiply 2 and 3 by 4 to add these two fractions correctly.

Answer: a)  and b)

Step-by-step explanation: Lets find the percentages for each option.

a). with 1-11 without 12-20

Here there are 20 shopers. From 1 to 11, there are 11 shoppers. From 12 to 20, there are 9 shoppers. 11 of 20 have credit cards, and 11/20 = 0.55. So this option is correct

b). with 1-33 without 34-60

Here there are 60 shoppers. 1 to 33 there are 33 shoppers with store credit cards. 33/60 = 0.55. So this is also a simulation which represents this situation.

c). with 1-24 without 25-40

Here there are 40 shoppers. 1 to 24, so there are 24 shoppers with the store credit card. 24/40 = 0.6. So this is not a correct option.

d). with 1-21 without 22-40

Here there are 40 shoppers, of which 21 have the credit card. 21/40 = 0.525, so this is not one of the options

e). with 1-18 without 19-40

Here there are 40 shoppers, of which 18 have the credit card. 18/40 = 0.45, so this is not one of the options.

f). with 1-36 without 37-80

Here there are 80 shoppers, of which 36 have the credit card. 36/80 = 0.45,

so this is not one of the options.

Answer:

answers are A, D, and F

Step-by-step explanation:

PLATO

x=1 or x= 12

Step-by-step explanation:

x²-13x+12=0

x²-12x-x+12=0

x(x-12)-1(x-12)=0

(x-1)(x-12)=0

x-1=0 or x-12=0

x=1 or x=12

Answer:

y = -3/4x - 4

Step-by-step explanation:

-8y -6x = 32

-8y = 32 + 6x -- isolate the y variable.

(-1) -8y = 32 + 6x (-1) -- the y has to be a positive number so multiply every single number by -1

8y/8 = -32/8 - 6x/8 -- divide both sides by 8

y = - 4 - 6/8x

y = -3/4x -4 - simplify the fraction and that is your answer

Similar triangles are those triangles whose corresponding sides are in the same ratio. The length of the sides ST and RT are 5 units and 3 units, respectively.

Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by ‘~’ symbol.

Given that the two triangles are similar because the two have the same ratio. Therefore, the ratio of the corresponding sides in the triangle can be written as,

Ratio = AB/RS = BC/ST = AC/RT

Ratio = 18/6 = 15/ST = 9/RT

Now, using the ratio the length of the sides can be written as,

18/6 = 15/ST

ST = (15 × 6)/18

ST = 5 units

18/6 = 9/RT

RT = (9 × 6)/18

RT = 3 units

Hence, the length of the sides ST and RT are 5 units and 3 units, respectively.

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Answer:

x[tex]\geq[/tex]2

Step-by-step explanation:

You add 2 to both sides. Then you divide everything by 6. Hope this helps!

Answer:

The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.

Step-by-step explanation:

The statement is incomplete: The size of a cylinder changes with time. If r increases at the rate of 2 cm/min and h decreases at the rate of 7 cm/min. ¿At what rate is the volume changing at the instant when r = 1 cm and h = 7 cm?

The volume of the cylinder ([tex]V[/tex]), measured in cubic centimeters, is expressed by the following formula:

[tex]V = \frac{\pi}{4}\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

The rate of change of the volume ([tex]\frac{dV}{dt}[/tex]), measured in cubic centimeters is obtained by deriving (1) in time:

[tex]\frac{dV}{dt} = \frac{\pi}{2} \cdot r\cdot h\cdot \frac{dr}{dt} + \frac{\pi}{4}\cdot r^{2}\cdot \frac{dh}{dt}[/tex] (2)

Where:

[tex]\frac{dr}{dt}[/tex] - Rate of change of the radius, measured in centimeters per minute.

[tex]\frac{dh}{dt}[/tex] - Rate of change of the height, measured in centimeters per minute.

If we know that [tex]r = 1\,cm[/tex], [tex]h = 7\,cm[/tex], [tex]\frac{dr}{dt} = 2\,\frac{cm}{min}[/tex] and [tex]\frac{dh}{dt} = -7\,\frac{cm}{min}[/tex], then the rate of change of the volume is:

[tex]\frac{dV}{dt} = \frac{\pi}{2}\cdot (1\,cm)\cdot (7\,cm)\cdot \left(2\,\frac{cm}{min} \right) + \frac{\pi}{4}\cdot (1\,cm)^{2}\cdot \left(-7\,\frac{cm}{min} \right)[/tex]

[tex]\frac{dV}{dt} \approx 16.493\,\frac{cm^{3}}{min}[/tex]

The volume of the cylinder with time is increasing approximately at a rate of 16.493 cubic centimeters per minute.

Answer:

The answer is 59

Step-by-step explanation:

5(8+2)+3(6-3)

5*8=40

5*2=10

3*6=18

3*-3=-9

(40+10)+(18-9)

50+9=59

Answer: a joule divided by a second

Step-by-step explanation:

Answer:

701 cm

Step-by-step explanation:

cm =m * 100.0000

cm =7.1 * 100.0000

cm =710.0000