Find the 4th term of the geometric sequence whose first term is 3 and common ratio is 2.

The measure of DE is triangle ABE is similar to ACD is 9units

For triangles to be similar, the ratio of their sides must be equal to the constant called he scale factor.

From the given diagram;

AB/AE = AC/AD
20/15 = 32/15 + DE

Solve for DE
4/3 = 32/15+DE
4(15+DE) = 3(32)
15+DE = 3(8)
DE = 24 - 15
DE = 9

Hence the measure of DE is triangle ABE is similar to ACD is 9units

Learn more on similar triangle here: https://brainly.com/question/2644832

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Answer: 19.62 * 10^7 cm

Step-by-step explanation:

a = 9.2 * 10^7 cm

Area = 5.612 * 10^14 cm^2

Find: Perimeter - ?

b = (5.612 * 10^14) / (9.2 * 10^7) = 0.61 * 10^7 cm

Perimeter = (9.2 * 10^7 + 0.61 * 10^7) * 2 = (9.2 + 0.61) * 10^7 * 2 = 9.81 * 2 * 10^7 = 19.62 * 10^7 cm

a. To solve for the greatest common factor (GCF), we can determine the prime factors of 6, which is 2 and 3. Then for the other number, we can do the exact same thing. The prime factors of 8 are 1, 2, and 4. When matching the all the prime factors together, we notice that 2 is in both the prime factors.

This means that the GCF of 6 and 8 is 2.

b. To factor the GCF of 6 and 8, we can use the prime factors of both 6 and 8. That means:

6 + 8 = 2 × (3 + 4).

14 = 14

Answer:

you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)

Step-by-step explanation:

Answer:

Lake Carters, Lake Amistad, Lake Alamo

Step-by-step explanation:

Starting with lake Alamo:

current level: 1,080

Full pool: -48.5

This indicates that the level is currently 48.5 feet below a full pool

Therefore, the level of it as a full pool is 1,080 + 48.5, or 1,128.5 feet

Lake Amistad:

Current Level: 1,038

Full pool: -7.1%

This indicates that the level is currently 7.1% below a full pool

subtract 7.1% from 100%

100-7.1=92.9

Percent formula:

P% * X = Y

P = 92.9

Y = 1038

X = 1038 / 92.9%

X = 1117.33

Full pool = 1117.33

Lake Carters

Current level: 1078

Full pool: + 60/13

This indicates that the level is currently 60/13 above a full pool

60/13 = 4.62

1078 - 4.62 = 1073.38

full pool = 1073.38

So, the order is Lake Carters, Lake Amistad, Lake Alamo

Answer:

Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?

Step-by-step explanation:

Answer:

1/2 × 6 × 6

Step-by-step explanation:

the triangle takes up half of the square

the area of a square = side length²

side length = 6

so area of square = 6² = 6 × 6

because the triangle takes up half of the square

the area of the shaded triangle would = 1/2 × 6 × 6

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[tex]\large \sf \underline{Problem:}[/tex]

The person is lifting a heavy box using a lever what is the purpose of the lever in the situation?

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[tex]\large \sf \underline{Answer:}[/tex]

to reduce the force needed to lift the box and change the direction of the force.

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[tex]\large \sf \underline{Explanation:}[/tex]

1. "A lever consists of a rigid bar that is able to pivot at one point. This point of rotation is known as the fulcrum. A force is applied at some point away from the fulcrum (typically called the effort)."

By this definition, we know that force is needed to lift an object using a lever.

2. "When the input and output forces are on opposite sides of the fulcrum, the lever changes the direction of the applied force. This occurs only with first-class levers. When both the input and output forces are on the same side of the fulcrum, the direction of the applied force does not change"

For example, on a sew saw, if a force is applied on one end, you on the other side/end would go up, meaning a change in direction.

3. Lastly, we know a lever is typically used to reduce work, in other words, the force needed to move something.

Basically, if we were to put a lever into an equation:

reduced force + change in direction = lever

(the expection) unless load and force are on the same side, there will be no change in direction.

For example, if you and your friend sit on the same side of a sew saw, the sew saw would not go up or down, meaning no change in direction.

So if not stated otherwise you can assume the load and force are on opposite sides. The purpose of a lever in that situation would be to reduce the force needed to lift the box and change the direction of the force.

*While reading my explanation, it may be helpful to look up a diagram containing a lever, with a load, fulcrum, and applied force.

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[tex]╰┈➤\: \huge\color{pink}{\bold{Answer}}[/tex]

[tex] \: \: [/tex]

[tex]╰┈➤\: \huge\color{pink}{\bold{Explanation}}[/tex]

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[tex]\mathfrak \red{ - \: Cherrrry \: Red}[/tex]

Hi Student!

Looking at the question, we are given a fraction that has a pi symbol.  We learn in trigonometry that a whole circle is made up of 2 * pi and we know that a circle is 360 degrees.  That means that just having pi means that we have 180 degrees.

Therefore, looking at the fraction that was given to us, we can basically interpret it as 180 degrees / 4.  That will give us a solution of 45 degrees which is our final answer.

Answer:

[tex]45^{\circ}[/tex]

Step-by-step explanation:

[tex]\dfrac{\pi}4 = \left(\dfrac{\pi }{4} \times \dfrac{180}{\pi} \right)^{\circ} = \left( \dfrac{180}4 \right)^{\circ} = 45^{\circ}[/tex]

Answer:

1) B. (6,-3)

2) D. (-8,-2)

Answer:

slope = 2.25

Step-by-step explanation:

This equation is written in slope-intercept form, which has the general structure: y = mx + b.

In this form, "m" = slope and "b" = y-intercept.

Therefore, the slope is 2.25 since it is replacing the "m" variable.

Answer: 3

Step-by-step explanation: This equation can be written as 4x+3x-4=17

We can now solve.

Moving the 4 to the other side (adding) and we get 21.

Now we have 4x+3x. Adding like terms, we get 7x = 21. Now we divide by 7.

X = 3.

Step-by-step explanation:

6x+1≤4x−9

6x-4x≤-9-1

2x≤-10

inequality changes when divided or multiplied with negative

Answer:

4n-1

Step-by-step explanation:

Diffrence bweetween each number, 3 and -1, -1 and -5, -5 and -9 is 4

4n

find the closest numbers

4*1=4

4*0=0

4*-1=-4

4*-2=-8

now we figure out how to make these numbers into our terms of this sequence

4n-1

4*1-1=3

4*0-1=-1

4*-1-1=-3

4*-2-1=-9

so the nth term is 4n-1

Answer:

.0022

Step-by-step explanation:

Answer:

2249999.99524

Step-by-step explanation:

The answer would be 2249999.99524

Or just 224999

Sorry for the last answer!

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[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

          What is the mean of 7, 10, 13, 4, 12, 21, 10, 3?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

    ❖ First, add all the numbers together:-

7+10+13+4+12+21+10+3

Addition results in:-

80

Now divide by how many numbers there are (here we have 8):-

80÷8=10

So we conclude that the mean is 10.

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Answer:

y = 5x

Step-by-step explanation:

y = 5x

Where, y = amount of money library receives and x  = number of books sold.

So if 1 book is sold, y = 5 (1) = 5, which means y =5 (this matches answer on row 1 which says 1 book sold makes 5 bucks.)

Answer:

(f.g)(x) = (f×g)(x)

= (x² + 4x - 6) × ( x + 2)

= x^3 + 2x^2 + 4x^2 + 8x - 6x - 12

= x^3 + 6x^2 + 2x -12

Answer:

2.75

Step-by-step explanation:

Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

Answer:

C

Step-by-step explanation:

infinite numbers

pi

square root of 80

^all irrational

Answer:

I dont see a correct answer but
D= 58t

The option (A) 63 inches to 81 inches is correct after using the empirical Rule.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

The mean height of the population is 72 inches and the standard deviation is 3 inches, 99.7% of the population will have a height

99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean.

The lower range = 72 – 3(3) = 63 inches

The upper range = 72 + 3(3) = 81 inches

Thus, the option (A) 63 inches to 81 inches is correct after using the empirical Rule.

Learn more about the standard deviation here:

brainly.com/question/12402189

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Top Right

the V shape

Answer:

x = 28

y = 32

Brainliest?

Answer:

3052.08

Step-by-step explanation: