Given that l is the centroid of triangle CDE, find CH.
A. 3
B. 4
C. 8
D. 12

See below for the proof of the equation 4h² - 4dh + x² = 0 using the Pythagoras theorem

The Pythagoras theorem states that:

Hypotenuse² = Opposite² + Adjacent²

The question is incomplete, as the figure is not given.

So, I will complete the proof using the following parameters:

Substitute the above values in the following equation

Hypotenuse² = Opposite² + Adjacent²

So, we have:

(2√dh)² = x² + (2h)²

Evaluate the exponents

4dh = x² + 4h²

Subtract 4dh from both sides

0 = x² + 4h² - 4dh

Rewrite as:

4h² - 4dh + x² = 0

Hence, the equation has been proved

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Answer:

12 inches.

Step-by-step explanation:

You have to use the pythagorean formula. The measurements you stated form a right angle. Therefore, a^2 + b^2 = c^2. In this equation, we know c=13, and b=5. So therefore c^2 - b^2 = 144. We have to solve for a, so square root 144 to get 12.

Answer:12 in

Step-by-step explanation:

Answer:

Volume = 12 ft^3

Step-by-step explanation:

Vol = length×width×height

= 3×4×1

= 12

The volume is 12 cubic feet.

The upper part of the x-axis is a quadratic function and the equation of the upper part is: y = 4 - x^2; -2 < x < 2

The equations are given as:

y = x^2 - 4

y = 4 - x^2

When these equations are plotted, the upper part of the x-axis is a quadratic function that has the following properties:

Zeros = -2 and 2

Because the upper x-axis is open upwards, the equation of the graph is:

y = -(x - zeros)

So, we have:

y - (x - 2)(x + 2)

Evaluate

y = 4 - x^2

Hence, the equation of the upper part is:

y = 4 - x^2; -2 < x < 2

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Answer:

60

Step-by-step explanation:

lets say the number is X so:

X-3/4X=15

then multiple both sides by 4 then you will get

4X-3X=60

SO:X=60

Answer:

Step-by-step explanation:

let x be the number that we are trying to figure out.

the statement “The difference between a number and three fourths of itself is 15”  means  x + (3/4)x = 15

then

(1/4)x = 15

Then

x = 4 × 15

Then

x = 60

Answer:

Below.

Step-by-step explanation:

I can do this using calculus but the algebra will be a bit messy.

Let the 2 equal sides of isosceles triangle be x and the base be y units long.

Then perimeter p = 2x + y.

Area A = 0.5yh  where h is the altitude of the triangle.

h =  sqrt [x^2 - (0.5y)^2]

=  [x^2 - (0.5y)^2]^0.5

So A = 0.5y * [x^2 - (0.5y)^2]^0.5

From the perimeter formula y = p - 2x so:

A = 0.5(p-2x) * [x^2 - (0.5(p-2x)^2]^0.5

A = 0.5(p-2x) * [x^2 - 0.25(p^2 - 4xp + 4x^2)]^0.5

A = 0.5(p-2x) * [x^2 - 0.25p^2 + xp - x^2]^0.5

A = (0.5p-x) * [xp - 0.25p^2]^0.5

We now find the derivative and equate it to zero to find the value of x which corresponds to a maximum area.

We use the product rule:

dA/dx =   (0.5p-x)* 0.5(xp - 0.25p^2)^(-0.5) * p  - 1(xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 -  (xp - 0.25p^2)^0.5 = 0

p(0.5p - x) / (2((xp - 0.25p^2)^0.5 =  (xp - 0.25p^2)^0.5

Now multiplying though by (2((xp - 0.25p^2)^0.5 :-

p(0.5p - x) = 2 (xp - 0.25p^2)

0.5p^2 - px = 2px - 0.5p^2

p^2 = 3px

x = p^2/3p = p/3

So for a maximum value of the area x = p/3.

But y = p - 2x

         = p - 2(p/3)

          = p -  2/3p

           = p/3

- but we've just shown that x = p/3

That means that x = y and the triangle is Equilateral.

Answer:1.  72.5

Step-by-step explanation: in number one you add so is equal to 0.2 ÷ 14.5

number to we put 1÷25(42,000) so is equal to 1680 the we substract 42000-1680=40,320

Answer:

A. 27 ft^3

Step-by-step explanation:

cube root of 729 is

9

1/3 of 9 is

3

volume of a cube with an edge of 3 is

3^3 =

27

Answer:

_48x +32

Step-by-step explanation:

_(16*3x_16*2)

_(48x_32)

_48*+32

Answer:

mean: 68

median: 76.5

mode: 23, 95

range: 93

Step-by-step explanation:

Put numbers in order:

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

mean: sum of the terms / number of terms

sum of the terms: 17 + 23 + 23 + 64 + 67 + 86 + 95 + 95 + 100 + 110 = 680

number of terms: 10

680 / 10 = 68

median: number of terms / 2

10 / 2 = 5, 5th number on the list

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

between 67 and 86 since its an even number data set

67 + 86 / 2 = 76.5

mode: the most occurring number

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

- 17, 64, 67, 86, 100, 110 has 1 each

- 23 has 2

- 95 has 2

23 and 95 have the same reoccurring amount

range: max - min numbers

17, 23, 23, 64, 67, 86, 95, 95, 100, 110

110 - 17 = 93

NO outliers

Hope this helps you a little more for your last day of finishing hmw :)

Let me know if you need anymore help !

OR have questions

Answer:

charlie brown chicken sandwich

Step-by-step explanation:

maybe 1375 cubic feet of water will take to fill the well

To limit the risk of alienating the entire target audience it needs to release the design to a small number of randomly chosen members .

target audience serves as a term that describes the people that a particular work or a product is been directed to.

Therefore, as a popular social networking website who want to limit the risk of alienating target audience, it should work randomly.

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The types of mortgages and their descriptions are:

There are various types of mortgages to take care of the people of different economic situations.

For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.

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Answer:

22 pounds of watermelon

Step-by-step explanation:

First find cost per pound
19.60/8=2.45
$2.45 per pound
Then divide $53.90 by $2.45 to determine how many pounds you can buy
53.90/2.45=22
22 pounds of watermelon

Answer:

9. 21

10. QP, 8, 18

Step-by-step explanation:

9.

2(4x-65) = 2x-4

6x = 65*2-4 = 126

x = 21

10.

a. QP

b. 8

c. 18

The probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have total number of kitten = 4+5 = 9

Total number of outcomes if the director is going to choose 5 of these kittens at random to be in the commercial:

= C(9, 5) = 126

The director chooses 3 boy kittens number of ways:

= C(4, 3) = 4

The director chooses 2 girl kittens number of ways:

=C(5, 2) = 10

Total favourable outcomes = 10×4 = 40

The probability = 40/126

= 0.317 ≈ 0.32

Thus, the probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

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6 full teams will be made.

If you take 62 and divide it by 9, you'll get a value of 6.88... or it can also be notated as 6 remainder 8. You will be able to make 6 full teams but your last team will only have 8 members, which does not have the full 9 members.

Answer:

-x^2-4x+2

Step-by-step explanation:

(-2,6) (0,2) (2,-4)

Answer:

$875

Step-by-step explanation:

Jill was given $175 and her mother was given 5 times the amount.

Multiply 175 and 5.

Answer:

-1331

Step-by-step explanation:

Just ask. :)

Answer:

[tex]\displaystyle \binom{-8}{6}[/tex]

Step-by-step explanation:

The car's starting position is 2 miles south of the town center.  If it travels 6 miles north, then it will be 4 miles north of the town center.

The car's starting position is 5 miles east of the town center.  If it travels 8 miles west, it will be 3 miles west of the town center.

Therefore, its final position is 4 miles north and 3 miles west of the town center.

If the car travels 6 miles north from it's starting position, the y-value of the vector will be 6, as the car is moving in a positive direction along the y-axis.

If the car travels 8 miles left, the x-value of the vector will be -8, as the car is moving in a negative direction along the x-axis.

Therefore, the single translation vector that moves the car from its starting position to its final position is:

[tex]\displaystyle \binom{x}{y}=\binom{-8}{6}[/tex]

Answer:

672

[tex]A_L = (a+b+c)h = (12+10+20)*16 = 672[/tex]

Answer:

line

Step-by-step explanation:

quizlet

cliffnotes

Answer:

Step-by-step explanation:

      The expanded value of n! is (n) * (n - 1) * (n - 2) until we reach one.

      Given:

4! - ((11-2)!) / 8!)

      Rewrite:

[tex]\displaystyle 4! - \frac{(11-2)!}{8!}[/tex]

      Subtract:

[tex]\displaystyle 4! - \frac{9!}{8!}[/tex]

      Expand:

[tex]\displaystyle 4*3*2*1 - \frac{9*8*7*6*5*4*3*2*1}{8*7*6*5*4*3*2*1}[/tex]

      Cancel out values that equal one in the fraction:

[tex]\displaystyle 4*3*2*1 - \frac{9}{1}[/tex]

      Multiply:

[tex]\displaystyle 24 - \frac{9}{1}[/tex]

      Simplify:

24 - 9

      Subtract:

15

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

Answer: true

Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

Answer:

true

Step-by-step explanation:

Answer:

11.2

Step-by-step explanation: