The area of the rectangle is 20 square units. Find the length and width of the rectangle

[tex] \huge \tt \color{pink}{A}\color{blue}{n}\color{red}{s}\color{green}{w}\color{grey}{e}\color{purple}{r }[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\:Important\: point's }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

★ also circumference of a circle is also known as it's perimeter

[tex]{ \boxed{✜\underline{ \boxed{ \sf{\: Circumference \: of \: circle= \: 2\pi \: r}}}✜}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

[tex] \large\underline{ \boxed{ \sf{✰\: Let's\:solve }}}[/tex]

[tex]\sf{➛ \: Circumference \: of \: circle = 2 \times 3.14 \times 25} \\ \sf{➛ \: Circumference \: of \: circle =2 \times 78.5} \\ \sf{➛ \: Circumference \: of \: circle =157inch}[/tex]

★ Hence circumference of circle=157inch

[tex] \large\underline{ \boxed{ \sf{➪\:157inch. }}}[/tex]

[tex]{ \rule{70mm}{2.9pt}}[/tex]

Hope it helps !

Answer:

D

Step-by-step explanation:

It is only d because that is the only positive statement.

After 5.4 years, the value of the car will be half the initial value.

We know that the value decreases by 12% each year.

Then the value of the car can be modeled with an exponential decay, written as:

[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]

Where A is the initial value, and t is the number of years.

The value will be halved when:

[tex](0.88)^t = 0.5[/tex]

We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:

[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]

This means that after 5.4 years, the value of the car will be half the initial value.

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Answer:

D. 96

Step-by-step explanation:

Using the Multiplication Principle, we multiply the number of choices for each item together:

[tex]8 \cdot 4 \cdot 3 = 96[/tex]

Answer:

x=10.5 or x=6=x=−7

Step-by-step explanation:

x+x^2+2=44

x+x(x)+2=44

2x(x)+2=44 1. -2 on both sides

2x^2=42

2x(2x)=42

4x=42 2. /4 on both sides

x=10.5

Answer:

x = -7, 6.

Step-by-step explanation:

x+x2 +2=44

x^2 + x - 42 = 0

(x - 6)(x + 7) = 0

x =-7, 6

Answer: 10

Step-by-step explanation:The answer is 10

Step-by-step explanation:

10+10=20

10 * 10= 100

Hope it helps you.

The volume of the cylinder will be equal to V=1885 cubic cm.

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The cylinder is the right circular object with some height like bamboo, bottles, rods etc all are cylinders.

The formula for calculating the volume of the cylinder is given as:-

V=πr²H

Here we have the radius of the cylinder r= 10 cm and the height of the cylinder is H=6 cm

V=  π x (10)² x  6

V=1885 cubic cm.

Hence the volume of the cylinder will be equal to V=1885 cubic cm.

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Answer:

It doubled

Step-by-step explanation:

Got 100%

Answer:

A 1.3

Step-by-step explanation:

probabilities lie between 0 and 1 and cannot be more or less

Answer: 16 cups per second.

Step-by-step 5.5 minutes into seconds 320.

620 gallons into cups 9920.

9920 divided by 320 seconds.

16 cups per second

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the parameters are given as follows:

[tex]\mu = 48, \sigma = 8, Z = -3[/tex].

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-3 = \frac{X - 48}{8}[/tex]

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

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Answer:

Using the normal distribution, it is found that the life span of an appliance that has a z-score of –3 is of 24 months.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean  and standard deviation  is given by:

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, the parameters are given as follows:

.

Hence:

X - 48 = -24

X = 24.

The life span of an appliance that has a z-score of –3 is of 24 months.

Avery's salary after 18 years will be equal to $82000.

The amount of money paid by any company to their employees on monthly basis is called salary.

Given that:-

The amount of salary taken by Avery in her 18th year will be:-

Per year incrememnt = $1500

So total increment in 18 years will be = 1500  x  18  =  $27000

Total salary in 18th year will be = 55000  +  27000 = $82000

Therefore Avery's salary after 18 years will be equal to $82000.

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Answer:

15 balloons

Step-by-step explanation:

20 - 5 = 15

hope this helps:)

Answer:

15 ballons

Step-by-step explanation:

Answer:

1. x=37

2. x= 50

Step-by-step explanation:

Add up the two angles you already have, 43+100 and then subtract from 180.

180-143= 37

Do the same thing for number 2.

Add up 99+31, which is 130

The subtract from 180

180-130=50

The equation for triangles is x + (the angle measures) = 180

Hope this helps <3

Answer:

I believe the answers are :

5 cm, 9cm, and 15 cm

3 cm, 5 cm, and 10 cm

Step-by-step explanation:

When 2 sides that are not the hypotenuse are added and are less than the hypotentuse, a triangle cannot be formed.

Answer:

he would need 4 bags

Step-by-step explanation:

16 divided by 4 is 4

you can count by 4 to find your answer

$8,966.02 is your answer

Answer:

its D

Step-by-step explanation:

i did the math ez

Answer:

C) ∠V , ∠U , ∠W

Step-by-step explanation:

The smallest angle is opposite to the smallest side.

Sides in ascending order:  WU <  VW < UV

Answer:

35 + 35 = 70

Step-by-step explanation:

Add the area of ABC

Answer:

1/3

Step-by-step explanation:

That is the simplified version of the number of all the double-digit odd days (11,13,15,17,21,23,25,27,29), 10, over the total number of days in April, 30

10/30=1/3

Answer:

b) 95 degrees

Step-by-step explanation:

Remember that the internal angles of a triangle add up to 180°.

Solving :

Let that angle be x

Apply angle sum property

Step-by-step explanation:

profit= revenue - cost

profit = 2(87)-69.80

=174-69.20=104.8 R

Answer:

Step-by-step explanation:

So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.

For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.

This way you can solve the rest of them.

Ask me if you get confused and we can work on rest of them.

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Q6

The number of ways in which three swimmers can advance is 56.

The combination is the selection of items without taking the order of arrangement into consideration.

The formula used in calculating the combination is:

[tex]\mathbf{C(n,r) = \dfrac{n!}{r!(n-r)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8!}{3!(8-3)!}}[/tex]

[tex]\mathbf{C(n,r) = \dfrac{8\times 7\times 6 \times 5!}{3!(5)!}}[/tex]

[tex]\mathbf{C(n,r) = 8\times 7}[/tex]

C(n, r) = 56

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