Mediante las propiedades de los triángulos, en la siguiente figura el triángulo ∆CDE, determina el valor de la variable “x”.

Answer:

75

Step-by-step explanation:

Given:

f(1) = 100

f(n+1) = f(n) - 5

Solve for:

f(6)

Solution:

f(1) = 100

f(2) = f(1) - 5 = 100 - 5 = 100 - 1 x 5 = f(1) - 1 x 5

f(3) = f(2) - 5 = 100 - 5 - 5 = 100 - 2 x 5 = f(1)  - 2 x 5

...

f(n) = f(n - 1) - 5 = 100 - (n-1) x 5 = f(1) - (n-1) x 5

=> f(6) = f(1) - (6-1) x 5 = 100 - 5 x 5 = 100 - 25 = 75

Hope this helps!

no idea if this is what you're looking for but if it is then here's the answer:

Part 1) The mean is 151

Part 2) The mean absolute deviation  is 9.1

Step-by-step explanation:

step 1

Find the mean

Sum all the values and divide by the number of values

step 2

Determine the  absolute value of subtract the mean from each value

step 3

Find the mean of those distances

----> this number is called the mean absolute deviation (MAD)V

Answer: its 100-e=42

Step-by-step explanation: i just answered it

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

Θ ≈ 103°

Step-by-step explanation:

using the Cosine rule in Δ ABC

cosB = \(\frac{a^2+c^2-b^2}{2ac}\)

where a is the side opposite ∠ A , b the side opposite ∠ B and c the side opposite ∠ C

here a = 42 , b = 78 and c = 57 , then

cos B = \(\frac{42^2+57^2-78^2}{2(42)(57)}\)

          = \(\frac{1764+3249-6084}{4788}\)

          = \(\frac{5013-6084}{4788}\)

         = \(\frac{-1071}{4788}\) , then

B = Θ = \(cos^{-1}\) ( - \(\frac{1071}{4788}\) ) ≈ 103° ( to the nearest degree )

Using equations, the time for the main engine 14.4 seconds and 21.6 seconds for the auxiliary engine

Let's call the time each engine takes to consume its allotted fuel supply as "t₁" for the main engine and "t₂" for the auxiliary engine.

From the first piece of information, we know:

t₁ = (2/3)t₂

From the second piece of information, we know that the combined fuel consumption time for both engines is 36 seconds:

t₁ + t₂ = 36

Now we can substitute the first equation into the second:

t₁ + (2/3)t₂ = 36

Combining like terms:

t₂ = 21.6

Finally, substituting t₂ back into the first equation:

t₁ = (2/3)(21.6) = 14.4

So the main engine alone could be fired for 14.4 seconds and the auxiliary engine alone could be fired for 21.6 seconds.

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Answer:

24 girls

Step-by-step explanation:

I answered your question, could you maybe answer mine?

https://brainly.com/question/26466957

Answer:

229

229

229

it's two hundred and nine

Answer:

your answer is 229

Step-by-step explanation:

200 plus 20 is 220 and 8 plus 1 is 9 so u add it all together and its 229

The required simplified value of the function is given as 4,

Given that,
Partial functions are given, and we have to determine the value of the function at x = 2.

Limit, which can be defined as every nearby value of a variable for a function that exists, is called limits

here,
The function given is  f(x) = 3 / x - 2 but this function is not defined for x = 2 but the value of the function at x = 2 is 4,

If we put  f(2) = 3 / 2 - 2 = infinity,

Thus, the required simplified value of the function is given as 4,

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Answer: =10

Step-by-step explanation:

The volume of the composite figure is 228 ft³.

To calculate the volume of a composite figure, we need to break it down into its individual components and then sum up the volumes of each component.

From the given dimensions, it seems that the composite figure consists of multiple rectangular prisms. Let's calculate the volume of each prism and then add them together.

First prism:

Length = 8 ft, Width = 4 ft, Height = 6 ft

Volume = Length * Width * Height = 8 ft * 4 ft * 6 ft = 192 ft³

Second prism:

Length = 3 ft, Width = 2 ft, Height = 6 ft

Volume = Length * Width * Height = 3 ft * 2 ft * 6 ft = 36 ft³

Now, let's add the volumes of both prisms:

192 ft³ + 36 ft³ = 228 ft³

Therefore, the volume of the composite figure is 228 ft³.

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What is the volume of the composite figure? 8 ft 4 ft 6 ft 3 ft 2 ft

Answers 96 ft³3 76 ft³ 228 ft³ 192 ft³ ​

( 2x + 11 ) ( 2x - 11 ) is factor of linear equation .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

                                      A linear equation with one variable is one that contains just one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value.

= 4x² - 121

= (2x)² - ( 11 )²

= ( 2x + 11 ) ( 2x - 11 )

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Answer:

with times hight

Step-by-step explanation:

multiply with and hight together to get a full lay out of the prisms and if the are halves i usauly add them together to form one unite hope this help and that were on the same page

Answer:

To use a unit cube, you have to multiply the length and the width just like finding the area of a 2D shape. You will then take your "area" and multiply that by the height of the object.

Step-by-step explanation:

Example, if I have a rectangular prism that is 10 inches long, 4 inches wide, and 6 inches tall, I can multiply 10 and 4 to get 40. I will then take the 6 inches, and multiply it to 40. 40x6=240. The volume of my prism is 240.

I would also like to point out that you can multiply the factors in any order because of the commutative property

The factorized form of \(x^3 - (y - z)^3\ is \ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

The Factorization is derived from the application of a mathematical identity. As an AI language model, the information provided is generated based on existing knowledge and formulas.

The given expression is \(x^3 - (y - z)^3.\)To factorize it,  the difference of cubes, which states that a^3 - b^3 can be factorized as\((a - b)(a^2 + ab + b^2).\)

Applying this identity to our expression, we have:

\(x^3 - (y - z)^3 = (x - (y - z))((x - (y - z))^2 + (x - (y - z))(y - z) + (y - z)^2)\)

Simplifying further, we get:

\(= (x - y + z)(x^2 - 2xy + 2xz - y^2 + 2yz - z^2 + xy - y^2 + yz - z^2 + y^2 - 2yz + z^2)\\= (x - y + z)(x^2 - 2xy + xy + 2xz + yz - 2yz - y^2 + y^2 - y^2 + 2yz - 2z^2 + y^2 - z^2 + z^2)\\= (x - y + z)(x^2 - xy + 2xz + yz - 2z^2)\)

So, the factorized form of \(x^3 - (y - z)^3 \ is\ (x - y + z)(x^2 - xy + 2xz + yz - 2z^2).\)

the above factorization is derived from the application of a mathematical identity.

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Answer: Half of them are even and half of them are odd.

Step-by-step explanation:

The even numbers are 6, 12, 18, 24, and 30. An even number is defined as a number that is divisible by 2, meaning it has no remainder when divided by 2. For example, 6 divided by 2 equals 3 with no remainder, so 6 is even.

The odd numbers are 3, 9, 15, 21, and 27. An odd number is defined as a number that is not divisible by 2, meaning it has a remainder of 1 when divided by 2. For example, 9 divided by 2 equals 4 with a remainder of 1, so 9 is odd.

Therefore, out of the given numbers, half of them are even and half of them are odd.

________________________________________________________

Answer:

-8,4

Step-by-step explanation:

because the slope is slightly 0n 5 and 4

By using sum of sequence the value of (3+6+9+...+57) is 570, which is option C).

What is sum of the sequence ?

The sum of a sequence is the total result of adding up all the numbers in the sequence. The method for finding the sum of a sequence depends on whether the sequence is arithmetic or geometric.

For an arithmetic sequence, in which each term is obtained by adding a fixed number (called the common difference) to the previous term, the sum of the first n terms can be found using the formula:

\(Sn = n/2(2a + (n-1)d)\)

where a is the first term, d is the common difference, and n is the number of terms.

For a geometric sequence, in which each term is obtained by multiplying the previous term by a fixed number (called the common ratio), the sum of the first n terms can be found using the formula:

\(Sn = a(1-r^n) / (1-r)\)

where a is the first term, r is the common ratio, and n is the number of terms.


According to the question:
We can notice that each number in the sequence 3, 6, 9, ..., 57 is 3 times the corresponding number in the sequence 1, 2, 3, ..., 19.

So, we can find the sum of the sequence 3, 6, 9, ..., 57 by finding the sum of the sequence 1, 2, 3, ..., 19 and then multiplying by 3.

The sum of the sequence 1, 2, 3, ..., 19 is:

1 + 2 + 3 + ... + 19 = (19/2)(1 + 19)/2 = 190

Multiplying by 3, we get:

3 + 6 + 9 + ... + 57 = 3(1 + 2 + 3 + ... + 19) = 3(190) = 570

Therefore, the value of (3+6+9+...+57) is 570, which is option C).

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Answer:

80 - 66 = 14

Step-by-step explanation:

I have an assignment with this question

Answer:

104ft

Step-by-step explanation:

First - find the area of triangles.

h = hight

b = base
h • b / 2

5 • 8 /2 = 20ft

And

4 • 6 /2 = 12ft

And then area of the rectangle.
l • w

9 • 8 = 72 ft

Than add. Them all together

Answer:

If one angle of a triangle is larger than another angle, then the side opposite the larger angle is longer than the side opposite the smaller angle.

The fact which helps to prove the isosceles theorem is; The base angles of an equilateral triangle have equal measure.

Isoscelles triangles in plane shape concept are characterized by two equal sides.

On this note, similarly in equilateral triangles, 2 sides are equal ( although, all sides of an equilateral triangle are equal).

Ultimately, the statement which helps to prove the isosceles triangle theorem is therefore; The base angles of an equilateral triangle have equal measure since all the two sides are equal as in isoscelles triangles too.

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Total questions =10

Both part correct earns 5 points

One part correct earns 2 ponts

No parts correct earns - 1 points

P I-squared

Both = 4

One = 2

None = 4

Total points = (5×4) + (2×2) + (-1×4)

= 20 + 4 - 4

= 20

Euler circles

Both = 2

One = 6

None = 2

Total points = (5×2) + (2×6) + (-1×2)

= 10 + 12 - 2

= 20

Hope this will help....

Answer:

1, 3, 9, 27

Step-by-step explanation:

1 times 27 = 27

3 times 9 = 27

9 times 3 = 27

27 times 1 = 27

hope this helps!!!

Answer:

1, 3, 9, 27

Step-by-step explanation:

27 = 3³

The factors of 27 are:

1, 3, 9, 27

Answer: 4



Step-by-step explanation:

Answer:

Jeriel would have to pay $17

Step-by-step explanation:

t= hours

$3 per t hour +$8 fee

t=3

3(3)+8= $17

How much would Jeriel have to pay if he left his car in the lot for t hours:

3t+8

How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours?

$17

Answer:

120

Step-by-step explanation:

\(nth = a + (n - 1)d\)

that above is the formula for nth term.

since a is the first term then a =3 , n is 21 , and d which is the common difference is going to be 2. since d is gotten by 5-3, 7-5 , 9-7.

with all the parameters,

21st term = 3(21-1)2

=3(20)2

=3×20×2

= 120

therefore the 21st term is 120

Answer

W = 6.657 in.

Explanation

The area of a rectangle is given as

Area = L × W

Where

L = Length of the rectangle

W = Width of the rectangle

We are also told that the height (or the length) is 2 in. shorter than its width.

L = W - 2

The area of the rectangle = 31 in²

Area = L × W

31 = (W - 2) × W

W (W - 2) = 31

W² - 2W = 31

W² - 2W - 31 = 0

We now have to solve this quadratic equation. After solving,

W = 6.657 OR W = -4.657

But since the width of the rectangle cannot be negative, the right answer is

W = 6.657 in.

Hope this Helps!!!

The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Terminal point for 4π/3

(cos4π/3 ,sin4π/3)

{cos(π+π/3) ,sin(π+π/3)}= (-cosπ/3 ,-sinπ/3)

or ,(- 1/2, -√3/2)

OPTION C

Answer:

G is 7u. H maybe to write out h in 7 places. That is, h+h+h+h+h+h+h

Answer:

Step-by-step explanation:

g= 7 x u because there is 7 u's

h= h+h+h+h+h+h+h

i= that one i am not sure