The perimeter of a square is in p inches. Write expressions, in terms of p, for the length of the side of the square and the area of the square.

Answers

Answer 1
square has 4 sides of equal length
if the side length is p then the perimiter (distance around) is 4 times the length of the side or 4 times p or 4p

the area is side times side but since  all sides are equal length, side^2 is the aera


perimiter=4p
area=p²

Related Questions

find the product (x-y)(6x+4y)

Answers

The product means you multiply, so:
-y × 6x = -6xy
-y × 4y = -4y²

x × 6x = 6x²
x × 4y = 4xy


= -2xy - 4y² + 6x

I hope this helps!

Two thirds of a number reduced by 11 is equal to 4 more than the number. find the number. 2

Answers

2/3x - 11 = x + 4
2/3x - x = 4 + 11
2/3x - 3/3x = 15
-1/3x = 15
x = 15 * -3
x = -45 <== ur number

Help plz fast with this question

Answers

90-7 =83 degrees

height = 3 miles

divide 3 by the cos of 83 degrees

3/cos(83) = 24.6165

rounded to nearest mile = 25 miles

in a boutique the ratio of pink flowers to blue flowers is 3 to 6 if there are 72 pink flowers how many flowers are there in the bouquet all together?

Answers

[tex]\bf \cfrac{pink}{blue}\qquad \cfrac{3}{6}=\cfrac{72}{b}\implies b=\cfrac{72\cdot 6}{3}\implies \boxed{b=144} \\\\\\ \textit{so, there are a total of }72 + 144[/tex]

The scale on a map is 1cm 7 km. if two cities are 12 cm apart on the map, what is the actual distance between the ctities

Answers

1 cm on map, represents 7 km in reality.

For example, 10 cm represent 70 km.


This means that  12 cm on map, represent 12* 7 km = 84 km.


Answer: 84 km.

The number of ways to listen to 4 different cds from selection of 15 cds

Answers

In general number of choosing r things from the group of n number of things(When order doesn't matter) = [tex]^nC_r[/tex]

We can expand [tex]^nC_r[/tex] as [tex]^nC_r = \frac{n!}{r! * (n-r)!} [/tex]

So same way we can find number of way to listen 4 different cds from 15 cds  = [tex]^{15}C_4[/tex]

Which we can calculate as
[tex]^{15}C_4 = \frac{15!}{4!* (!5 - 4)!} = \frac{15!}{4! * 11!} [/tex]
                         [tex]= \frac{15 * 14 * 13 * 12 * (11!)}{4*3*2*1 * (11!)} = \frac{15*14*13*12}{4*3*2*1} = 5* 7 * 13 * 3 *1 [/tex]
                                                  = 1365

Answer:

 32,760 is the correct answer, the first person is wrong! Took the test and this is it!

Step-by-step explanation:

Find the first six terms of the sequence. a1 = 1, an = 4 • an-1

Answers

[tex]\bf \begin{array}{ccllll} n&term&value\\ ---&-----&-----\\ 1&a_1&1\\ 2&a_2&4\cdot a_{2-1}\\ &&4\cdot a_1\\ &&4\\ 3&a_3&4\cdot a_{3-1}\\ &&4\cdot a_2\\ &&16\\ 4&a_4&4\cdot a_{4-1}\\ &&4\cdot a_3\\ &&64\\ 5&a_5&4\cdot a_{5-1}\\ &&4\cdot a_4\\ &&256\\ 6&a_6&4\cdot a_{6-1}\\ &&4\cdot a_5\\ &&1024 \end{array}[/tex]

If a 70 inch television's diagonal forms a 29° angle with the base of the screen, what is the vertical height (h) of the screen to the nearest inch? 34 in 39 in 51 in 61 in

Answers

The sine of 29=height/70
height=70 sin (29)=33.94 inches rounded to 34 inches.

Answer:

34 inches.

Step-by-step explanation:

What is the radius of the circle defined by x^2+2x+y^2+6y-39=0?

Answers

hello : 
x²+2x+y²+6y-39=0
(x²+2x+1)-1 +(y² +6y+9)-9 -39 =0
(x+1)² + (y+3)² = 49 = 7²
the radius is : 7

an angle measures 12 degrees less than 3 times its supplement

Answers

Given that the angle measures 12 degrees less than 3 times the supplement, the size of the angle will be:
suppose the size of the supplement is x;
the size of the angle supplementary to x will be:
 3x-12
Given that the sum of supplementary angles is 180, thus;
x+(3x-12)=180
solving for x we get:
4x-12=180
4x=180+12
4x=192
x=192/4
x=48
the size of the supplementary angles will be:
48*3-12
=132

I have forgotten how to answer this question

Answers

check the picture below.

so, as you see there, those radius make out an "equilateral triangle", and as you know, all angles in an equilateral triangle are 60° each.

now, if we make out the other equilateral triangle underneath that one, and add up the angles making out ∡CBD, you'd get, yes, you guessed it.

what number increased by 80% is 90?

Answers

50 because when you divide 90 by 1.8(since it was already 100% and is being increased by 80%) it equals to 50.

What is the area of triangle FGH? Round your answer to the nearest tenth of a square centimeter.

Answers

A=bh/2

A=(5.4)(3.6)/2

A=9.72 cm^2

A≈9.7 cm^2  (to nearest tenth of a square centimeter)

Answer: [tex]\text{Area}=9.8\ \text{square centimeter}[/tex]

Step-by-step explanation:

Given: The height of the triangle h= 3.0 cm

The base corresponding to the given height b= 6.5 cm

We know that the area of a triangle is given by :-

[tex]\text{Area}=\frac{1}{2}bh\\\\\Rightarrow\text{Area}=\frac{1}{2}(3)(6.5)\\\\\Rightarrow\text{Area}=\frac{19.5}{2}\\\\\Rightarrow\text{Area}=9.75\approx9.8\ \text{square centimeter}[/tex]

To prove that all circles are similar, you would use similarity blank?

Answers

Two main parameters determine the circle is the center and radius. From the point of view of similarity, the centre is not an important parameter. So we can imagine that all possible circles, we will draw from the same center. Then they will differ only by the length of the radius and all. The radius is a segment. All the segments are similar between them. What we wanted to prove.

10 POINTS!!!!! Which of the following statements is true about 63 and 20?

a.) They are relatively prime.
b.) They have more than one common factor.
c.) They each have a factor of 4.
d.) They are both prime numbers.

Answers

The answer is: A) They are relatively prime. This is because both of them aren't divisible by any other number than 1. (or 0 if you really want to do that)
Hello there!

The correct answer is A
They are relatively prime


I hope that helps!

What is the range of this function?

Answers

The answer is C. Just plug in the maximum and minimum domain values (because the function is linear, you don't have to worry about more complicated things happening in the middle) and be careful with the signs.

Answer:

c) -16 ≤ x < 5

Step-by-step explanation:

The given function is f(x) = -3x + 2 and domain is  -1 < x ≤ 6

The maximum value of the domain is 6 and the minimum value of the domain is -1.

To find the range, plugin the maximum and minimum value of the domain.

Plug in x = 6 in the given function, we get

f(6) = -3(6) + 2 = -18 +2 = -16

f(-1) = -3(-1) + 2 = 3 + 2 = 5

So the range is -16 ≤ x < 5

HELP PLEASE!!!!!

Kajan repeatedly rolled a die and he was getting frustrated that he could not roll his favourite number, which is three. What is the probability that the first three occurred on the tenth roll?
0.0323 0.0269 0.323 mc009-1.jpg

Answers

The number of trials = 10
Probability of success (getting a 3) is p = 1/6
Probability of failure (not getting a 3) is q = 1 - 1/6 = 5/6

The probability of one success after 10 trials is given by the binomial distribution as
₁₀C₁ p¹ q⁽¹⁰⁻¹⁾ = 10*(1/6)*(5/6)⁹ = 0.323

Answer: 0.323

Two women start at the same point. they walk in opposite directions for 3 meters, then turn right and walk another 4 meters. how far apart are they?

Answers

The total distance between the two women would simply be the sum of the hypotenuse formed by the triangular path they created.

For each women:

c^2  = a^2 + b^2

c^2 = 3^2 + 4^2

c^2 = 9 + 16

c^2 = 25

c = 5 m

Therefore the distance between the two is:

distance between the two women = 2 * c

distance between the two women = 10 m

What is the simplified form of the following expression? 5√8-√18-2√2
A. 2√2
B. 5√2
C. 9√2
D. 15√2

Answers

Answer:

Option (B) is correct.

To prove

As given the epression in the question is given by

[tex]= 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}[/tex]

Now simplify the above

Terms are written as

[tex]\sqrt{8} = \sqrt{2\times 2\times 2} = 2 \sqrt{2}[/tex]

[tex]\sqrt{18} = \sqrt{3\times 3\times 2} = 3 \sqrt{2}[/tex]

Put in the above expression.

[tex]= 5\times 2 \sqrt{2} -3 \sqrt{2} - 2 \sqrt{2}[/tex]

[tex]= 10 \sqrt{2} -5 \sqrt{2}[/tex]

[tex]=5 \sqrt{2}[/tex]

[tex]Therefore\ the\ expression\ 5\sqrt{8} - \sqrt{18} - 2 \sqrt{2}\ is\ equivalent\ to\ 5 \sqrt{2} .[/tex]





Which of the following values is the 25th percentile?lower quartile, median, upper quartile

Answers

The lower quartile is the 25th percentile.

Answer:

The value of 25th percentile equals:

 lower quartile

Step-by-step explanation:

We have to find the value of the 25th percentile

25th percentile is equal to the lower quartile.

50th percentile is equal to the median.

and 75th percentile is equal to the upper quartile.

Hence, the value of 25th percentile equals:

 lower quartile

What is the following product

Answers

Answer: [tex] \sqrt[6]{200} [/tex]

Answer:

Option B.[tex]\sqrt[6]{200}[/tex]

Step-by-step explanation:

The given expression is ∛5.√2 and we have to find the product.

In this question ∛5 can be written as [tex]5^{\frac{1}{3} }[/tex] and [tex]\sqrt{2}=2^{\frac{1}{2}}[/tex]

We know to multiply these terms we should have the same powers of both the terms.

Now we will convert these terms to the terms having same powers.

first term [tex]5^{\frac{1}{3}}=5^{(\frac{1}{3}).(\frac{2}{2})}[/tex]

=[tex]5^{\frac{2}{6}}[/tex]

=[tex]25^{\frac{1}{6}}[/tex]

Second term √2 = [tex]2^{\frac{1}{2}}[/tex]

= [tex]2^{(\frac{1}{2}).(\frac{3}{3})}[/tex]

= [tex]2^{\frac{3}{6}}[/tex]

= [tex]8^{\frac{1}{6}}[/tex]

Now we multiply these terms

[tex]25^{\frac{1}{6}}.8^{\frac{1}{6}}[/tex]

= [tex]200^{\frac{1}{6} }[/tex]

Therefore option B is the answer.

How do you solve 3x+4y=12 and 2x=y-6

Answers

3x +4y =12

2x = y-6 Rewrite this as y = 2x+6

 now replace that for y in the first equation

3x + 4(2x+6) = 12

now do all the calculations:

3x + 8x +24 =12

11x + 24 = 12

11x = -12

x = -12/11 = -1 1/11

 now substitute -12/11 for x in the 2nd equation and solve

y = 2x+6

y = 2(-1 1/11) +6

y = 42/11 = 3 9/11

The difference between a number and 12 is 20

Answers

x-12=20

Isolate x by adding 12 to both sides
x-12+12=20+12
x=32

Final answer: The number is 32.
Remember that difference is a keyword for subtraction.

Describe the transformation f(x) = √x + 1 − 5 in words. The parent function f(x) = √x has been shifted 1 unit and 5 units.

Answers

Answer:

We are given,

The transformed function is [tex]f(x)=\sqrt{x+1}-5[/tex].

So, we can see that,

The parent function is [tex]f(x)=\sqrt{x}[/tex].

Then, we have,

The parent function is translated 1 units to the left to give [tex]\sqrt{x+1}[/tex].

Then, it is translated 5 units downwards to give the function  [tex]\sqrt{x+1}-5[/tex].

Hence, we have,

The parent function [tex]f(x)=\sqrt{x}[/tex] is translated 1 unit to the left and 5 units down.

The parent function f(x) = √x has been shifted 1 unit left and 5 units down

The parent function of a square root function is represented as:

[tex]f(x) = \sqrt x[/tex]

When the function is shifted 1 unit left, we have the following equation

[tex]f(x) = \sqrt {x + 1}[/tex]

When the function is shifted 5 units down, we have the following equation

[tex]f(x) = \sqrt {x + 1} - 5[/tex]

Hence, the parent function f(x) = √x has been shifted 1 unit left and 5 units down

Read more about function transformation at:

https://brainly.com/question/4057530

he product of a non-zero rational number and an irrational number can always be written as

a)a fraction.
b)a terminating decimal.
c)a non-repeating, non-terminating decimal.
d)a repeating decimal

Answers

The product of a rational and irrational number is an irrational number.

c) a non-repeating, non-terminating decimal

Answer with explanation:

⇒Consider a Non Zero Rational Number = 2, 3, [tex]\frac{2}{3}[/tex], 53,....

The decimal Expansion of Rational number is Either terminating or  Non Teminating repeating.

⇒ Irrational Number = π, √2,√7,...

The decimal Expansion of Irrational number is Non terminating Non repeating.

Product of a non-zero rational number and an irrational number

  =2 ×√2 or 3 × √2 or 3 π

are all Irrational number.

In terms of decimals:

                     (c)⇒a non-repeating, non-terminating decimal=(Irrational Number)

Option C

Someone pls help!? I don't get it

Answers

= x^(16/5)  
= x^(3 1/5)
= x^3  * x^1/5

= x^3   * fifthroot of x

Its the first choice

What is the area of triangle DEF?

Answers

The answer would be 58 squared cm because the area of a triangle is 1/2(base*height). The base is 42 cm and the height is 28 cm. 
588 square centimeters because the area of a triangle is 1/2* width * height. so you would have two 1/2 * 21 * 28 and adding the two products equals 588

Branliest and 30 points

Evaluating expressions
1.x squared when x=3/4
2. x+y when x=11 and y=6.4
3. w-z when w=9.5 and z = 2.8

Answers

1.
(3/4)^2 = (3/4)* (3/4)
(3/4)*(3/4)= 9/16

Final answer: 9/16

2.
11+6.4= 17.4

Final answer: 17.4

3.
9.5-2.8= 6.7

Final answer: 6.7
[tex]x^{2}[/tex]
[tex](\frac{3}{4})^{2}[/tex]
[tex]\frac{3^{2}}{4^{2}}[/tex]
[tex]\frac{9}{16}[/tex]

[tex]x+y[/tex]
[tex]11+6.4[/tex]
[tex]17.4[/tex]

[tex]w-z[/tex]
[tex]9.5-2.8[/tex]
[tex]6.7[/tex]

How many kilometers can the prius travel on 16 liters of gasoline?

Answers

Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.

It is given that Prius runs on gasoline.

We have to find out that how many kilometers it can run if amount of gasoline is 16 liters.

What will be the value of 16 times of a number x ?

The value will be ; 16 × x .

No. of kilometers Prius travels depends on what is the model of Prius . Also quality of roads makes a difference.

1 liter = 0.264172 gallons

16 liters = 16 × 0.264172 = 4.23 gallons

Let's say a Prius travels x kilometers per gallon.

So ; on 16 liters of gasoline , Prius will travel ;

x × 4.23 = 4.23 × x kilometers

Thus , Prius can travel up to 4.23 × x kilometers on 16 liters of gasoline.

To learn more about algebraic expressions click here ;

https://brainly.com/question/26479183

#SPJ2

Which of the following functions illustrates a change in amplitude?

A. y = 3cos4x
B. y = 1+sinx
C. y = -2-cos(x - pi)
D. y = tan2x

Answers

Answer:

Correct option is A.          

Step-by-step explanation:

Given the following functions we have to choose the option which illustrates a change in amplitude.

Multiplying a sine or cosine function by a constant changes the graph of the parent function i.e results in change in the amplitude of function. Amplitude is the measure of distance from the sinusoidal axis to the maximum or the minimum.

Option A:  y = 3cos4x

The parent function is f(x) = cos x.

The amplitude of function changes from 1 to 3.

Option B:  y = 1+sinx

The parent function is f(x) = sin x

The amplitude remains same i.e 1

Option C: y = -2-cos(x - pi)

Here also remains same.

Option D: y = tan 2x

The tangent function does not have an amplitude because it has no maximum or minimum value.

Hence, correct option is A.

Answer:

y= 3cos4x

Step-by-step explanation:

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