What is the distance between the following point?

The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Answer:

-0.25641025641

Step-by-step explanation:

Answer:

There are 80 paperbacks on the shelf

Step-by-step explanation:

Multiply 2/3 by 120

So that would be:

2/3 x 120/1

(2 x 120)/(3x1)=240/3=80

Answer:

-2

Step-by-step explanation:

-2 is two less than 0. if you add 2 to this, you get 0. if you take away 0 from 0, it is still 0. if you take away two from 0, you get -2. so the answer is -2

Answer:

2π(x+y+z)

is the factorization

Answer:

n\(\geq\)6

Step-by-step explanation:

Answer:

n ≥ 6

Step-by-step explanation:

\(n-9\geq -3\\\\\mathrm{Add\:}9\mathrm{\:to\:both\:sides}\\\\n-9+9\ge \:-3+9\\\\Simplify\\\\n\ge \:6\)

Answer:

-4 1/6

Step-by-step explanation:

Answer:

-25/6

Step-by-step explanation:

17 (-1/6) +8 (-1/6)

-17/6 + -8/6

-25/6

The value of k is 18.

If x + 2 is a factor of f(x) = x^3 + 5x + k, it means that when x = -2, the expression f(x) becomes zero.

Substituting x = -2 into f(x), we have:

f(-2) = (-2)³ + 5(-2) + k

= -8 - 10 + k

= -18 + k

Since f(-2) should equal zero, we have:

-18 + k = 0

k = 18

Therefore, the value of k is 18.

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Answer: 502400 feet

Step-by-step explanation:

400^2=160000

Then

3.14x160000=502400 feet

You need to match them in straight horizontal lines

Step-by-step explanation:

You need to replace the coordinates in the equations.

For example let's take (-6,-9) first. - 6 is the x coordinate and - 9 is the y coordinate. Let's replace it in the different equations and see which one is accurate.

Y = 2/3 x - 5 = 2/3×(-6) - 5 = - 9

(we were supposed to get y as - 9 and therefore this one is correct)

Our first match —> (-6,-9) & y = 2/3x - 5

Next coordinate, (-9,-11.5)

Replace in second because we found the first one already.

Y = 1/2 x - 7 = 1/2×(-9) - 7 = - 11.5

(y is supposed to be -11.5 so this one is correct too)

(-9,-11.5) & y = 1/2x- 7

Next coord, ( 4,-1)

Y = 6/8×(4) - 4 = - 1

(woah this one is correct too haha, why are they in the exact order-)

(4,-1) & y = 6/8 x - 4

Last ones left are the last two obviously but we can cross check.

Y = 4/8×(-8) + 1 = -3

Correct.

(-8,-3) & y = 4/8 x + 1

Answer:

625 inches

Step-by-step explanation:

so technically you are trying to find the area of the poster so...

25(25) = 625

so you would need 625in

Area of wall needed for the poster is equal to \(\boldsymbol{625}\) square inches.

The area of a the double region, form, or planar lamination in the planes is the quantity that describes its extent.

Measurement of the poster is \(25\) inches by \(25\) inches.

Therefore,

Area of wall needed for the poster \(=\boldsymbol{25\times 25}\)

                                                          \(=\boldsymbol{625}\) square inches

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This is an incomplete question, I think the question will be

A sandwich shop employee named Lucy takes 2.5 minutes to make a sandwich. If she continues at the same rate, how long will it take her to make 10 sandwiches? Write the answer in minutes.

it will take Lucy 25 minutes to make 10 sandwiches if she continues at the same rate.

If Lucy takes 2.5 minutes to make a sandwich, then to find out how much time it would take for her to make 10 sandwiches, we simply multiply the time taken for one sandwich (2.5 minutes) by the number of sandwiches required (10).

10 x 2.5 = 25 minutes

Therefore, if she continues to work at the same rate of making one sandwich in 2.5 minutes, she will be able to make 10 sandwiches in 25 minutes.

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Answer:

64 hours

Step-by-step explanation:

Hope this helps :)

Answer: 1

Step-by-step explanation:

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

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Answer:

It is not a function

Step-by-step explanation:

A function is a rule from x to y that applies to all elements of x. Every element of x should have one image only.

Here, element "1" has two images 3 and 7. Therefore it's not a function.

To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.

The weight of relish prepared after the evaporation of water is 2,226.02 pounds

Total = 1000 + 500 + 900 + 75 + 5

= 2,480 pounds

pickles are 92% water

= 92/100 × 1000

= 920 pounds

onions are 85% water

= 85/100 × 500

= 425 pounds

salt brine is 88% water

= 88/100 × 75 pounds

= 66 pounds

Total water in the mixture = 920 pounds + 425 pounds + 66 pounds

= 1,411 pounds

Amount of water evaporated = 18/100 × 1,411 pounds

= 253.98 pounds

Weight of the relish prepared = 2,480 pounds - 253.98 pounds

= 2,226.02 pounds

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Answer:

True

Step-by-step explanation:

(2) (3+4) = (2) (3) + (2) (4)

(2) (3+4)=2(7)=14

(2) (3) + (2) (4)=6+8=14

14=14 √

The solution is,  2.5 miles per hour was her walking rate in miles per hour.

We know that,

Speed is measured as distance moved over time.

The formula for speed is speed = distance ÷ time.

To work out what the units are for speed, you need to know the units for distance and time.

In this example, distance is in metres (m) and time is in seconds (s), so the units will be in metres per second (m/s).

Speed = Distance/ Time.

Here, given that,

Bao walked 15 miles in 6 hours.

so, we get,

in 6 hours = 15 miles

so, in 1 hour = 15 / 6 miles

                    =2.5 miles

Hence, The solution is,  2.5 miles per hour was her walking rate in miles per hour.

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Answer:

C

Step-by-step explanation:

because i did it in school and got it correct sorry if im wrong any way

Answer:

10 apples

Step-by-step explanation:

Answer:

a = 32

Step-by-step explanation:

When solving 1-step equations with fractional coefficients, remember to use inverse operations and the rules of fractions.

In this equation, -1/4 is multiplying a, so you must divide by -1/4 on both sides to get rid of it. Dividing by a fraction means you multiply by its reciprocal. The reciprocal of -1/4 is -4, so multiply both sides of the equation by -4 to get a by itself and find what it equals.

Answer:

7: 63

8: 73

arithmetic sequence

y = 10x - 7

or f(n) = 10x -7

or

\(a_{n}\) = 3 + (n-1)10

Step-by-step explanation:

the output increases by 10 every time that the input increases by 1.  That gives us our common difference or slope.  The y intercept is -7. That is the value is you worked backwards until you get to n = 0.  The initial value  is 3.  That is when n is 1.

When n is 3, f(n) is 23

When n is 2, f(n) is 13

When n is 1, f(n) is 3

When n is 0, f(n) is -7

I am not sure if this is clear.  I am assuming that you have a lot of knowledge of linear equations and how to write arithmetic sequence.  If my explanation is confusing it is me and not you.

Answer:

a. 63,73

b. Arithmetic sequence

c.t(n)=10n-7

Explanation:

a. Here is the completed table:

n | t(n)

4 | 33

5 | 43

6 | 53

7 | 63

8 | 73

b.

The type of sequence is arithmetic.

An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is constant.

In this case, the difference between any two consecutive terms is 10.

c.

The equation for the arithmetic sequence is:

t(n)=a+(n-1)d

where:

For Question:

Now

equation becomes:

t(4) = a+(4-1)10

33=a+30

a=33-30

a=3

Now, the Equation becomes

t(n) = 3+(n-1)10

t(n) = 3+10n-10

t(n)=10n-7

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

b) The 99% confidence interval for the population proportion is given as follows: (0.57, 0.68).

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 99%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.99}{2} = 0.995\), so the critical value is z = 2.575.

The parameters for this problem are given as follows:

\(n = 520, \pi = \frac{325}{520} = 0.625\)

Then the lower bound of the interval is given as follows:

\(0.625 - 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.57\)

The upper bound of the interval is given as follows:

\(0.625 + 2.575\sqrt{\frac{0.625(0.375)}{520}} = 0.68\)

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