A rectangle is 10 inches smaller than it is wide. The perimeter of the rectangle is 80 inches. Find the length and the width of the rectangle.​

Answer:

a...is wrong because it doesnt have a common denominator ..and its not a rational exponent .

11/12=0.916

in second one denominators are common and it is a rational exponent .

so the answer is b..

2/12=1/6

9/12=3/4

as you can see the denominator are common and its a rational exponent .

Answer:

Step-by-step explanation:

The measure of right angle is 90°

The sum of measures of angles in any triangle is 180°

so:

m∠Q + m∠S + ∠R = 180°

m∠Q + m∠S + 90° = 180°

m∠Q + m∠S = 180° - 90°

m∠Q + m∠S = 90°

In right triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

"Right triangle is defined as the two dimensional figure with three sides and three vertices and angles enclosed in it, with one of the interior angle is of 90°."

Condition used

In ΔQRS

∠Q +  ∠R + ∠S = 180°

According to the question,

Given,

In right triangle ΔQRS,

∠R = 90°

Substitute the value in the above condition of triangle we get,

  ∠Q + 90° + ∠S =180°

⇒ ∠Q + ∠S =180°- 90°

⇒∠Q + ∠S = 90°

Hence, in right  triangle QRS with ∠R = 90° , the sum of m ∠Q and m ∠S must be equal to 90°.

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Answer:

y = (x - 8)² - 47

Step-by-step explanation:

x² - 16x + 17 = 0

x² - 16x = -17

(-16) / 2 = -8

-8² = 64

x² - 16x + 64 = -17 + 64

(x - 8)² = 47

y = (x - 8)² - 47

Answer: The quick way is to square the half of it.

Step-by-step explanation: You divide your main number by 2 and figure out that half. If it is still too big, divide by 2 again. If you need to keep repeating that is fine. Thank you multiply your answer by however many times you divided by 2.

Answer:

Step-by-step explanation: Make a perfect square list

This is one that goes to 15

[tex]\sqrt{1} \sqrt{4} \sqrt{9} \sqrt{16} \sqrt{25} \sqrt{36} \sqrt{49} \sqrt{64} \sqrt{81} \sqrt{100} \sqrt{121} \sqrt{144} \sqrt{169} \sqrt{196} \sqrt{225}[/tex]

1      2  3    4    5    6     7    8    9     10    11     12    13     14    15

The numbers on top are the square root and the numbers under are the answer or squared numbers. There is also a way to solve them if the number is between a number in the list like 18 but i don't feel like explaining that this is just the basic squares.

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

The given parameters are

The cost of the cell phone plan per month = $20

The number of minutes of free calls that one can make in a month = 200 minutes

The cost of additional minutes of cell phone call = 5 cent

5 cents to a dollar = $0.05

The total number of minutes of calls made in a month = x

The time duration of a person's usage of the cell phone in a month > 200 minutes

The total cost C of a person's usage per month is given by;

C = $20 + $0.05 × (x - 200) = $20 + 0.05·x - $10

C = $10 + $0.05·x

Where x > 200.

Answer:

The total cost C  = $10 + $0.05·x

Step-by-step explanation:

f(3) = 13

f(x) = 2x + 7

replace x with 3

f(3) = 2×3 + 7

= 6 + 7

= 13

Answer:

422 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the upper cuboid + surface area of lower cuboid) - 2(base area of the lower cuboid)

Surface area of composite figure = [tex] (2(lw + lh + hw)) + (2(lw + lh + hw)) - 2(l*w) [/tex]

Upper cuboid has the following dimensions:

[tex] l = 4, w = 3, h = 8 [/tex]

Lower cuboid has the following dimensions:

[tex] l = 10, w = 7, h = 5 [/tex]

Plug these values into the formula

Surface area of composite figure

[tex] = (2(4*3 + 4*8 + 8*3)) + (2(10*7 + 10*5 + 5*7)) - 2(4*3) [/tex]

[tex] = (2(12 + 32 + 24)) + (2(70 + 50 + 35)) - 2(12) [/tex]

[tex] = (136 + 310) - 24 [/tex]

[tex] = 446 - 24 = 422 [/tex]

Surface area of composite figure = 422 cm²

Answer:

Sorry but all I know is that part a is 6 pounds will cost $18

Step-by-step explanation:

Hello, the product of the roots is

[tex]\dfrac{3p}{2}[/tex]

So, if there are reciprocal roots, their product is 1, and then

[tex]\dfrac{3p}{2}=1<=> p=\dfrac{2}{3}[/tex]

Thank you

Answer:

15

Step-by-step explanation:

Use the pythagorean theorem.

A² + B² = C²

In this case, A = 8, B is unknown, and C = 17. B is the side that we want to calculate.

8² + B² = 17²

64 + B² = 289

B² = 225

B = √225 = 15

Answer:

[tex]\huge \boxed{\mathrm{10,000}}[/tex]

Step-by-step explanation:

We have to estimate the two numbers, we can round up the two numbers to nearest tens.

Estimate 52 to 50.

52 ≈ 50

Estimate 188 to 200.

188 ≈ 200

The estimated product would be:

200 × 50 = 10,000

Answer:

10000

Step-by-step explanation:

pls mark as brainliest

Answer:

1.) -11x        2.)-2x

Answer:

You will need about 13 tables.

Step-by-step explanation:

I divided the number of guests by 12 and got 12.5 however you can't have half of a table so I rounded up and got 13.

Answer:

73 numbers

Step-by-step explanation:

36²

=36 × 36

=1,296

37²

=37 × 37

=1,369

The total number that lies between 36² and 37² = 37² - 36²

=1,369 - 1,296

= 73 numbers

This is to say that, there are 73 numbers between 36² (1,296 ) and 37² ( 1,369)

Answer:

S = 6x² + 5x - 6

5544 sq. units

Step-by-step explanation:

Area of parallelogram is:

Given:

Then:

S = 6x² + 5x - 6

If x = 30, then plug it in the equation:

Answer:

[tex]\boxed{ x = \sqrt{8.5} }[/tex]

Step-by-step explanation:

Hey there!

Irrational numbers are numbers that cannot be expressed as fractions.

[tex]\sqrt{8.5}[/tex]

=2.915475947422650235437076438772791538260699167442985977225003372433905030998356313832620163226517699278394811037677455675906936808085403142951613039412223590832527179885119634084324188271634828210865

The shown decimal goes on for 200 digits.

And it cannot be put into fraction form, meaning it is irrational.

Hope this help :)

Literally, irrational numbers are numbers that cannot be expressed as simple fractions. Some irrational numbers between 7 and 10 are 7.4833,7.9372,8.3666,8.4852,9.4868.

Given that

[tex]Min = 7[/tex]

[tex]Max = 10[/tex]

There are several ways to generate the irrational numbers between the given range.

One of the ways is as follows:

First, we list the pairs of relatively prime integers between the given range.

They are:

[tex]x = \{(7,8),(7,9),(7,10),(8,9),(9,10)\}[/tex]

Calculate the product

[tex]x = \{56,63,70,72,90\}[/tex]

Take the positive square root of the numbers to generate some irrational integers

[tex]x = \{\sqrt{56},\sqrt{63},\sqrt{70},\sqrt{72},\sqrt{90}\}[/tex]

[tex]x = \{7.4833...,7.9372....,8.3666...,8.4852....,9.4868....\}[/tex]

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Answer:

zero

Step-by-step explanation:

Pearson correlation coefficient represented by r is calculated by dividing  the covariance by the standard deviation of one variable(x) multiply by the standard deviation of the other variable(y).

A scatter plot diagram is a graphical display of data that in which these two variables are observed simultaneously.

A positive correlation is said to have a positive slope which means that the two variable x and y increases in x as there is increase in y.

On the other hand , when there is an increase in x and a decrease in y, the correlation between x and y is said to be negative and the corresponding regression line has a negative slope.

Occasionally, there may be no apparent association between x and y. In that wise, the data in the scatter plot diagram usually form a nearly perfect circle and are said to have a zero correlation.

Answer:

p = -6.5

Step-by-step explanation:

Given:

Solving for p:

Option 2 is correct in the list

Answer:

8cm

Step-by-step explanation:

8 because [tex]\sqrt[3]{8}[/tex] is 2

Answer:

672 cubic cm

Step-by-step explanation:

Hello!

To find the volume of a rectangular prism we use the equation

V = whl

V is volume

w is width

h is height

l is length

Put in what we know

V = 8 * 6 * 14

Solve

V = 672 cubic cm

The answer is 672 cubic cm

Hope this helps!

Answer:

you would add your points and where it is located

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x - 8 = 16 -3x

8x - 8 = 16

8x = 24

x = 3

AC= 5(3) - 8 = 15 - 8 = 7

CD= 16 - 3(3) = 16 -9 = 7

7 + 7 = 14 = AD

The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given the line segment AD with mid-point C

So,

AC = CD

5x - 8 = 16 - 3x

8x = 16 + 8

x = 3

So,

AD = 5x - 8 + 16- 3x

AD = 2x + 8

AD = 2(3) + 8 = 14

Hence "The value of x and AD such that C is the midpoint of AD is 3 and 14 respectively".

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Answer:

A general way of explaining this is

Suppose that we have a given property (or a pattern if we are working with a series of numbers):

Now, if that property is true, for example, for the numbers 1, 2, 3... etc.  Then we can suppose that the property is also true for an unknown number N.

Now, if using the hypothesis that the property is true for N, we can prove that the property is also true for N + 1, then we actually proved that the property is true for all the set.

We actually can use any set, not only the natural numbers.

For example, we can use the set of the even numbers {2, 4, 6, 8....}, suppose that the property is true for a random number N, that is even, and then see if using that hypothesis we can prove that the property is also true for the next number in the set; N + 2.

Answer:

712,402,207

Step-by-step explanation:

;)

Answer: 711,142,207

Step-by-step explanation:

Answer:

  no

Step-by-step explanation:

The circumference of a table is ...

  C = πd = π(180 cm) ≈ 565.5 cm

At 70 cm/guest, a table will accommodate ...

  565.5 cm/(70 cm/guest) = 8.08 guests

At 8 guests per table, the available 18 tables will accommodate ...

  (18 tables)(8 guests/table) = 144 guests

There is not enough space at 18 tables for 145 guests.

Answer:

No, it's not.

Step-by-step explanation:

First, find the circumference of the table:

C = 2πr

= 2 × 22/7 × 180/2

NOTE: Diameter/2 is equal to the radius because half of Diameter is a radius.

= 44/7 × 90

= 3,969/7

= 565.71 approximately 566cm²

Next, find how many guests can occupy a table:

566/70 = 8.08 approximately 8 guests.

Now, how many guests will be in 18 tables?

18 × 8 = 144 guests, but we need 145 guests, so it is not enough.

Answer:

x = 0

Step-by-step explanation:

two congruent angles 2x + 30 and 5x + 30

2x + 30 = 5x + 30

2x = 5x

2x + (-5x) = 5x + (-5x)

-3x = 0

x = 0 / -3

x = 0

The value of x will be;

⇒ x = 0

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Now,

Since, Two angle in a triangle 2x+30 degree and 5x+30 degree are congruent.

Hence, We get;

⇒ 2x + 30 = 5x + 30

Solve for x as;

⇒ 30 - 30 = 5x - 2x

⇒ 0 = 3x

⇒ x = 0

Thus, The value of x = 0

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