A rectangular swimming
pool has a perimeter of
150 meters. The length of
the pool is twice the width
of the pool. What is the
length of the pool?

Given:

One midsegment of an equilateral triangle.

To find:

The ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths.

Solution:

All sides of an equilateral triangle are same.

Let a be the each side of the equilateral triangle.

Length of the midsegment is equal to the half of the non included side or third side.

[tex]Midsegment=\dfrac{a}{2}[/tex]

The sum of two side is

[tex]a+a=2a[/tex]

Now, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is

[tex]\text{Required ratio}=\dfrac{\text{Length of midsegment}}{\text{sum of two sides}}[/tex]

[tex]\text{Required ratio}=\dfrac{\dfrac{a}{2}}{2a}[/tex]

[tex]\text{Required ratio}=\dfrac{a}{4a}[/tex]

[tex]\text{Required ratio}=\dfrac{1}{4}[/tex]

[tex]\text{Required ratio}=1:4[/tex]

Therefore, the ratio of the length of one midsegment of an equilateral triangle to the sum of two of its side lengths is 1:4.

Answer:

Step-by-step explanation:

common difference d = a₂-a₁ = (-2x+7)-(5x+2) = -7x+5

a₁₄ = a₁+13(-7x+5)

 = (5x+2) - 91x + 65

 = -86x + 67

Answer:

mbhjv vyvj

Step-by-step explanation:

Step-by-step explanation:

step 1. the difference between x -> x' was 7

step 2. the difference between y -> y' was -2

step 3. the translation was 7 right and -2 down

step 4. the translation can be written (x + 7, y - 2)

step 5. the pre image was located in quadrant II.

Answer:

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Step-by-step explanation:

Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:

[tex]20 = a\cdot b^{0}[/tex] (1)

[tex]720 = a\cdot b^{2}[/tex] (2)

By dividing (2) by (1), we obtain the value for [tex]b[/tex]:

[tex]\frac{720}{20} = b^{2}[/tex]

[tex]b = \sqrt{\frac{720}{20} }[/tex]

[tex]b = 6[/tex]

And the value for [tex]a[/tex] is found by (1):

[tex]a = 20[/tex]

The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].

Given:

A person on a moving sidewalk travels 24 feet the in 7 seconds.

The moving side walk has a length of 180 feet.

To find:

Time taken by the person to move from one end to the other.

Solution:

A person on a moving sidewalk travels 24feet the in 7 seconds.

The speed of the person is

[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

[tex]\text{Speed}=\dfrac{24}{7}[/tex]

The moving side walk has a length of 180 feet.

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]

[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]

[tex]\text{Time}=52.5[/tex]

Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.

Answer:

a=8

c=5.5

Step-by-step explanation:

solve simultaneously:

2a + 4c = 38.00

3a + 3c = 40.50

times the first eq. by 3 and the second by 2

6a + 12c = 114

6a +6c = 81

subtract from one another

6a + 12c = 114

-6a +6c = 81

6c = 33

c=5.5

3a + 3x5.5 = 40.50

3a= 24

a=8

Answer:

It leaks 20 milliliters of water per minute

Step-by-step explanation:

400/20 = 20

Answer:

n>-5

Step-by-step explanation:

We have to distribute the -7 first, so:

-105<-7(5-2n) becomes:

-105<-35+14n

To find n, we have to add 35, so:

-105<-35+14n

+35   +35

We get 14n>-70. Now, we have to divide each side by 14 to find n.

14n/14>-70/14.

So, the solution becomes n>-5.

Answer:

30 + 27(w)=189

Step-by-step explanation: w=7 btw (if u need it)

Brainliest?

The required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
A dog walker charges a $ 30 sign-up fee to cover insurance costs and $ 27 per walk.
Let the total cost be t for the w walks.
So, the expression is given as,
t = 27w + 30

Where 27w represents the cost of w walks.

Thus, the required expression that models represent the total cost, in dollars, to hire the dog walker for w walks is t = 27w + 30.

Learn more about models here:
https://brainly.com/question/22591166
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Answer:

55,000 milliliters

Step-by-step explanation:

So if washing machine uses 5 times more than dishwasher

Dishwasher: 11 litters of each cycle

Washing machine: 11 x 5= 55 litters for each machine in litters

If 1 litter is equal to 1000 milliliter then 55 x 1000 = 55,000 milliliters

FORMULA for milliliter: multiply the volume value by 1000

Hope this helps

Answer:

I Dont know the answer Sorryyyyyyyyyy

The area of the rectangle is 216 square feet

Let x represents the length and y represents the width.

So, we have:

x = 6y

So, the perimeter is:

P = 2(x + y)

The perimeter is given as:

P = 84

So, we have:

2(x + y) = 84

Divide by 2

x + y = 42

Substitute x = 6y in x + y = 42

6y + y = 42

Evaluate the sum

7y = 42

Divide by 7

y = 6

Substitute y = 6 in x = 6y

x = 6 * 6

x = 36

The area is calculated as:

Area = xy

So, we have:

Area = 36 * 6

Evaluate

Area = 216

Hence, the area of the rectangle is 216 square feet

Read more about area at:

https://brainly.com/question/24487155

#SPJ1

Answer:

Step-by-step explanation:

factor the coefficients into primes

18 = 3 * 3 * 2

42 = 3* 2 * 7

- 12 = - 2 * 2 * 3

The primes that are underlined are 2 * 3 which is 6

The primes not in the brackets are what is inside the brackets.

6(3x^2 + 7x - 2)

Answer:

6 1/3 Is a mixed fraction

Answer:

I need help with my math problem  

Step-by-step explanation:

https://brainly.co m/question/21437269

no space

Hey there I am just telling you , it seems that your questions is incomplete . Can you kindly post the whole question then I am able to solve it.

please don't mind.

Answer:

Step-by-step explanation:

In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.

The second number will be: 3 * 2 = 6

In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.

Second number = 5 * 2 = 10

Answer:one solution

Step-by-step explanation:

x=-3, TeR

Answer:

Step-by-step explanation:

Example: Solve this triangle

right angled triangle 5 12 c

Start with: a2 + b2 = c2

Put in what we know: 52 + 122 = c2

Calculate squares: 25 + 144 = c2

25+144=169: 169 = c2

Swap sides: c2 = 169

Square root of both sides: c = √169

Calculate: c = 13

Answer:

13/6÷ 7/4 = 15/21

Step-by-step explanation:

Answer:

15/21

Step-by-step explanation:

Answer:

0.85c

Step-by-step explanation:

Given :

Discount on sale = 15%

Price of gift card at discounted price = c - 0.15c

Equivalent expression could be :

(100% - 15%) * price

Price = c

(1 - 0.15)c

0.85c

Answer:

your answer will be A

Step-by-step explanation:

have a nice day/ night

Answer:

Decay

3

Step-by-step explanation:

Answer:

3π+ 6 = 15.42477796

Step-by-step explanation:

diameter = 6

πd = circumference

6x π = 6π

3π = semi circle

3π+ 6 = 15.42477796