Please help , Take your time ,
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Apply Pythagorean theorem

Answer:

Distance between point P and Q = 5m

Step-by-step explanation:

Given

Using Pythagorean Theorem (applicable for only right triangles)

Hope it helped~

Answer:

2.5

Step-by-step explanation:

Use the formula y2-y1 divided by x2-x1

Plug in the values: (7-2)/(6-4)

5/2

=2.5

Using the Intersecting secants theorem, the length of JK in the given diagram is 17

From the question, we are to determine the length of JK in the given diagram.

The diagram shows a circle with intersecting secants.

From the Intersecting secants theorem which states that "if two secant segments are drawn to a circle from an exterior point, then the product of the measures of one secant segment and its external secant segment is equal to the product of the measures of the other secant segment and its external secant segment".

Then,

We can write that

JK × KL = NM × ML

From the given diagram,

KL = 14

NM = 14

ML = 17

Substituting the values

JK × 14 = 14 × 17

JK = (14 × 17) / 14

JK = 17

Hence, the length of JK is 17

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Step-by-step explanation:

the answer is 72.70 cents

Answer: See explanation

Step-by-step explanation:

Markup is 39% of the cost.

Markup is what is added to the price to get the retail price.

39% × 72.72

0.39 × 72.72 = 28.3608

28.3608 ≈ 28. 36

Markup ≈ $28.36

Retail price is the price you get after you add the markup to the original price.

Retail price: Cost + Markup

Retail price: $72.72 + $28.36

Retail price = $101.08

On solving the question, we can say that second function has vertical asymptote at x=2

The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found.

The function that represents the graph is f(x) = 1/x-2 .

The graph of the function

From the given graph , the vertical asymptote is at x=2

Lets find out the vertical asymptote of each function

To find out vertical asymptote we set the denominator =0

f(x) = 1/2x

2x = 0

x = 0

f(x) = 1/x-2

x-2 = 0

x = 2

The second function has vertical asymptote at x=2

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The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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The population of North Carolina will reach 12 million in the year 2028.

Population growth is defined as the increase in the number of people which is calculated using population growth rate.

Given that,

Population in 2010 = 9.5 million

Population is increasing to 1.3% per year.

Annual growth rate = 1.3% = 1.3/100 = 0.013

We have the population growth formula,

P = P₀ e^(r t)

Here, P₀ = 9.5 million = 9,500,000

and P = 12 million = 12,000,000

r = 0.013

We have to find t.

12,000,000 = 9,500,000 e^(0.013t)

120 / 95 = e^(0.013t)

Taking natural logarithm on both sides and also ㏑(e^m) = m ㏑ e, we get,

㏑(12/9.5) = 0.013t × ㏑e

[㏑(12/9.5) ÷ 0.013] = t  [since ln e = 1]

t = 17.97 ≈ 18 years

The year is 2010 + 18 = 2028

Hence in the year 2028, the population will be 12 million.

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Answer:

commutative property of multiplication

Step-by-step explanation:

The commutative property of multiplication is correct. The commutative property of multiplication is basically arranging the numbers in any way and it won't change the product.

The associative property of multiplication is arranging the numbers in parenthesis and it won't change the product either.

The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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Check the picture below.

so hmmm let's find the length of the slanted side, namely the hypotenuse of the triangle with sides of 9 and 7(half of 14).

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ c^2=a^2+o^2\implies c=\sqrt{a^2 + o^2} \end{array} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{9}\\ o=\stackrel{opposite}{7} \end{cases} \\\\\\ c=\sqrt{ 9^2 + 7^2}\implies c=\sqrt{ 81 + 49 } \implies c=\sqrt{ 130 }\)

so now let's get the areas of those triangles and those rectangles.

\(\stackrel{\textit{two triangles}}{2\left[\cfrac{1}{2}(14)(9) \right]}~~ + ~~\stackrel{\textit{left and right rectangles}}{2(\sqrt{130})(20)}~~ + ~~\stackrel{\textit{bottom rectangle}}{(20)(14)} \\\\\\ 126+40\sqrt{130}+280\implies 406+40\sqrt{130} ~~ \approx ~~ \text{\LARGE 862.07}~cm^2\)

The graph with the y-intercept of 1 and a slope of -2/3 is added as an attachment

Linear equations are equations whose slopes are constant average rates of change.

The given parameters are

A linear equation is represented as

y = slope * x + y-intercept i.e. y = mx + c

Substitute the known values in the above equation

So, we have the following equation

y = -2/3x + 1

Hence. the linear equation is y = -2/3x + 1

See attachment for the graph

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Answer:

Ok, this is complicated. First you multiply 35 by .30. This gets you $10.50 OFF of the original price. Ok? So then you add the 2 dollar coupon. This gets you $12.50 OFF. So she would save $12.50.

YOUR ANSWER IS $12.50! Hope this helps! Please mark me brainliest!

Answer:

15

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

15

Step-by-step explanation:

30%x50÷100=15

(x + 12)° + (5x)° = 90°

m∠1 = 25° and m∠2 = 65°

We know that the little box represents 90 degrees. We will write an equation using this information.

      (x + 12)° + (5x)° = 90°

Next, we will solve by isolating the x variable with inverse operations and combing like terms.

      (x + 12)° + (5x)° = 90°

      x° + 5x° = 78°

      6x° = 78°

      x = 13°

Lastly, we will find the value of each angle by substituting.

       m∠1 = (x + 12)° = ((13) + 12)° = 25°

       m∠2 = (5x)° = (5(13))° = 65°

The length AC in the kite is 8.7 cm.

A kite is a quadrilateral that has two pairs of consecutive equal sides and

perpendicular diagonals. Therefore, let's find the length AC in the kite.

Hence, using Pythagoras's theorem, let's find CE.

Therefore,

7² - 4² = CE²

CE = √49 - 16

CE = √33

CE = √33

Let's find AE as follows:

5²- 4² = AE²

AE = √25 - 16

AE = √9

AE = 3 units

Therefore,

AC = √33 + 3

AC = 5.74456264654 + 3

AC = 8.74456264654

AC = 8.7 units

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Answer:

the answer is 1.0893×10 it is now in scientific notation

Answer:

1.0893 x 10^8

Step-by-step explanation:

you just use the number with highest place value as first and out every other number after the decimal or point and use x 10 to the power of however much place values you went back by (just count every spot in between the number I gave you and the number you gave me, it will be 8 I think)

Answer:

Midsegment=1.7

Step-by-step explanation:

Distance formula

d = √(x2 - x1)^2 + (y2-y1)^2}

d=√(4-(-2)^2+(3-4)^2

simplify and solve

we find d=1

Now side lenght

d=√((-2-(-2))^2+(4-(-2))

d=2.44949

length of midsegment=1/2 x (2.44949+1)

1.724745

simplifies to

1.7

Answer:

Midsegment is 1.7

Step-by-step explanation:

Answer:

7. 14

15. 30

28. 56

32. 64

18 36

x 2x

1/2y. y

2x. 4x

x+3 2x+9

Step-by-step explanation:

each out is double the in

Answer:

17

Step-by-step explanation:

because they are both above 5 so add 1

The amplitude is determined as the distance from the midline of the cosine function.

From the graph provided, the depth is shown as 3 units (between 5 units and 2 units) which puts the midline at 3.5 units. The amplitude therefore is 1.5

Answer:

x=1

Step-by-step explanation:

(3x-4(2)+9)=x-3

3x+1=x-3

2x+1=3

2x=2

x=1

Answer:

Family size at $0.20 per ounce

Answer:

13x=4   :-)  !!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

1-) -2 + 7x + 2 = 2 + 6x + 2

2-) 7x = 6x + 4

3-) 7x - 6x = 6x + 4- 6x

4-) X= 4

Answer:

1. 20 weeks

2. 3 hours

3. about 21 shirts

Step-by-step explanation:

1. because 565-65=500 ; 500÷25=20

2. 171-75= 96 ; 96÷32= 3

3. 5+10= 15; 325÷15=21 2/3

(sorry if wrong, tried my best)

have a great day:)

Answer:

-1

That's the answer.

did I help?

Answer:

The answer is 54203!

Step-by-step explanation:

Pls mark me branlyist

Answer:

The answer to your question is....

809 x 67 = 54203

Answer:

Well the best answer would be 1    0.75 cubic feet bag of dirt  

Step-by-step explanation:

Answer:

Price decresed to 124.00

Step-by-step explanation:

Answer:

slope is 1/2

Step-by-step explanation:

rise over run.

Answer:

1/2

Step-by-step explanation:

to find the slope, think of it as rise/run. find two points on the line that pass exactly thorugh the intersection of two coordinates, in this case 2,1 and 4,2. then count the rise (1) and run (2)