Geometry: Applications of All Right Triangles
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The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2

From the question, we have the following sequence that can be used in our computation:

1,4,7,10

In the above sequence, we can see that 3 is added to the previous term to get the current term

Using the above as a guide,

So, we have the following representation

aₙ = aₙ₋₁ + 3

Also, we have

a = 1 i.e. the first term

d = 3 i.e he common difference

When represented explicitly, we have

aₙ = a + (n - 1) * d

So, we have

aₙ = 1 + (n - 1) * 3

Evaluate the products

aₙ = 3n - 2

Hence, the explicit formula is aₙ = 3n - 2

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The equation given as -y = 3x is a direct variation. The constant of variation is - 1/3

It shows the relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.

A straightforward correlation between two variables is referred to as direct variation. In this case, the constant of variation will be k.

This will be Illustrated as:

y = kx

-1 = 3k

Divide

k = -1/3

The constant is - 1/3.

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Step-by-step explanation:

n = 0 : 2(0) -1 = -1

n = 1 : 2(1) - 1 = 1

n = 2 : 3

n = 3 : 5

n = 4 : 7

n = 5 : 9

sum = -1 + 1 + 3 + 5 +7 + 9 = 25

The graph of the function g(x) is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x) equals log2 x

Express the equation properly

So, we have

f(x) = log₂(x)

Also, we have

g(x) = -log₂(x - 3)

The transformation from f(x) to g(x) is that:

This means that

g(x) = -f(x - 3)

So, we apply the above transformations on the graph of f(x) to form g(x)

See attachment for graph of g(x)

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Answer:

B

Step-by-step explanation:

We can subtract the fixed 12 of 40 to see how much she can spend on messages alone. So we are left with $28.

At 10 cents apiece for every dollar she can send 10. So we would get 280 messages.

I dont understand the options given, I think there are equation signs missing

So it would be B I assume since x=280

Answer:

the document doesnt open up for me

Step-by-step explanation:

Answer:

x = - 10

Step-by-step explanation:

2x + 6 = x-4

2x - x = -4 - 6

x= -10

Answer:

The value of x = -10

Step-by-step explanation:

2(x+3) = x - 4

2x + 6 = x - 4

2x - x = -4 - 6

1x = -10

x = [tex]\frac{-10}{1}[/tex]

Value of x equals to -10!

wish I could help but I don’t learn these things

Answer:

answer is in picture

Step-by-step explanation:

Answer:

30 sheep

Step-by-step explanation:

The first section has 90 sheep sorted into 3 rows. How many sheep are

in each row of the first section?

From the above question:

3 rows = 90 sheep

1 row = x

Cross Multiply

3 rows × x = 1 row × 90 sheep

x = 1 row × 90 sheep/3 rows

x = 30 sheep

Therefore, there are 30 sheep in each row of the first section

Answer:

24

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

I think the answer of this question is 24.

The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.

A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.

Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).

To find the difference between

(9x² + 8x) - (2x² + 3x)

We do calculation

= 9x² + 8x - 2x² - 3x

= 9x² - 2x² + 8x - 3x

= 7x² + 5x

Thus, the difference between the polynomials is 7x² + 5x.

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Answer:

espero y te ayude esto de aquí

Answer: Ball A, B, C, F, E, D

Step-by-step explanation:

An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.

This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.

So, the order is as follows: Ball A, B, C, F, E, D

Answer:

±

2

√

2

+

2

Step-by-step explanation:

The expression which represents the value of the area could be the six times the circumference of the circle.

What is area of circle ?

area of circle can be defined as the product of pi(3.14) and square of radius of the circle.

Given,

helicopter pad which is in the shape of a circle has a circumference 72.48

and the diameter of 24 feet.

radius = diameter/2

radius = 24/2

radius = 12

circumference of circle = 72.48

area of circle =  π*r*r

area of circle = 22/7 * 12 * 12

area of circle = 452.5

area of circle is approximately 6 times the circumference of circle.

Hence , The expression which represents the value of the area could be the six times the circumference of the circle.

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Answer:

10,626

Step-by-step explanation:

Because being the student president is different from being the treasurer, the order in which students are selected for these roles matters. Therefore, a permutation is used to calculate the number of combinations that are possible, with nPr = n/(n-r) or evaluate it by doing 23c3.

Answer:

A directed segment is a segment that has distance (length) and direction. Hope this helps.

Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.

The probability that the pirate hits the Captain's ship, but the Captain misses

= 2/25) = 0.08

P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.

P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.

P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.

P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.

The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.

P(C' n p) is he needed probability.

P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08

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We can check if a function has an inverse function using horizontal  Line Test.

What is Function?

A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connect

horizontal  Line Test

Make f a function. Any horizontal line that crosses the f graph more than once indicates that f lacks an inverse. F does have an inverse if there are no horizontal lines that cross the graph of f more than once.

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Answer:

2.5x10^4hr

Step-by-step explanation:

Answer:

Step-by-step explanation: it is

Answer:

Each student received 16 fl oz of milk or 1 pint

Step-by-step explanation:

Answer:

option b is the correct answer

The cuboidal tank has a volume of [tex]6m^3[/tex] with dimensions of 4 m in length, 2 m in width, and 0.75 m in height.

The total amount of room or volume that a cuboidal tank can hold is known as its capacity. By multiplying the tank's length, width, and height collectively, it is determined.

The tank in this instance measures 4 metres long, 2 metres wide, and 0.75 metres high. We must multiply these three parameters collectively to determine the tank's capacity:

[tex]4m * 2m * 0.75m = 6m^3[/tex]

The tank can therefore hold [tex]6m^3[/tex] of liquid.

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Answer:

I think x = 8

Step-by-step explanation:

Answer:

Giraffe = 1,000 kg

Whale = 2,000,000 kg

Step-by-step explanation:

Whale has 2,000 times the mass.

Can I please get Branliest and rate, like Thank you!

Answer:

-16

Step-by-step explanation:

(-14+6)-8/4x4

-14+6=-8

-8-8/4x4

Following order of operations, we divide first, then multiply, then add/subtract.

-8-(8/4)x4

-8-2x4

-8-(2x4)

-8-8

-16

---

hope it helps

Answer: its -16

Step-by-step explanation:

According to the Angle-Angle-Angle (AAA) criterion, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

Proof:

Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F

Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.

(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E, and also, the line PQ is parallel to EF.

Therefore, by using the basic proportionality theorem, we can write

DP/PE = DQ/QF.

(i.e) AB/DE = AC/DF. …(1)

Similarly,

AB/DE = BC/EF …(2)

From (1) and (2), we can write:

AB/DE = BC/EF = AC/DF.

Therefore, the two triangles ABC and DEF are similar.

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