A rectangle sticker had a perimeter of 32 centimeters and a area of 48 square centimeters. what are the dimensions of the sticker

The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

[tex]a_n=a_1r^{n-1}[/tex]

Here, a₁ is the first term of the sequence and r is the common ratio.

The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,

[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex]             ...1

For the sixth term,

[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex]           ....2

On solving, we get,  a₁=192 and r=1/4. Thus, the geometric sequence can be given as,

[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]

Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.

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Answer:

Below.

Step-by-step explanation:

You have a data point 5 to the left.

So you would move another data point 5 units to the right - like for example 14 to 19.

Answer:

[8] Area is = to 1017.36            Circumference is = to 113.04

[9] Area is = 490.625             Circumference is = 78.5

[10] D  = 16                                R = 8

Step-by-step explanation:

[8]

Area is = to 1017.36

Circumference is = to 113.04

Formula:

Area = πr²

Circumference = 2πr

Solve:

A =  πr²

A = 3.14(18) ²

A = 3.14(324)

A = 1017.36

C= 2πr

C = 2(3.14)(18)

C = 113.04

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Area = 490.625

Circumference is = 78.5

Formula:

Area = πr²

Circumference = 2πr

Solve:

Area = πr²

A = 3.14(12.5)²

A = 3.14(156.25)

A = 490.625

Circumference = 2πr

C = 2(3.14)(12.5)

C = 78.5

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[10]

Circle area = π * r² = π * 64 [cm²] ≈ 201.06 [cm²]

π ≈ 3.14159265 ≈ 3.14

d = r * 2 = 8 [cm] * 2 = 16 [cm]

Hence,

D  = 16

R = 8

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Kavinsky

The length of the rope remaining after Nick cut off a piece of the rope is 1 29/36 yards

Length remaining = 5/9 of original length

5/9 of 3 1/4

= 5/9 × 13/4

= 65/36

= 1 29/36 yards

Therefore, the length of the rope remaining after Nick ncur off a piece of the rope is 1 29/36 yards

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Answer:

252 in^3

Step-by-step explanation:

Multiply all 12 x 7 x 3 = 84 x 3 = 252 in^3.

Hope this helps!

Answer:

Step 1: Determine the prime factors of the number under the root. Step 2: Write the prime factors in groups. Step 3: Simplify any multiplication and exponents. Step 4: Simplify the radical until no further simplification can be done.

Step-by-step Have explanation:

a great day

Answer:

73947.52

Step-by-step explanation:

the equation would be 100000 * (0.988)^25

since time is 25 years, and rate is 0.988, since we are decreasing by 0.012.

Answer:

Step-by-step explanation:

Count the number of scores greater than 65

Total number is

Note: none of answer choices reflect this

Answer:

68 student hope that helps

The true statements are:

In sets notation, the symbol, ∩ means the intersection of two groups. Here, it represents the number of people who are football fans and fans of car racing. This number is 9%.

Here is the complete question:

A survey finds that 48% of people identify themselves as fans of professional football, 12% as fans of car racing, and 9% as fans of both professional football and car racing. Let event F be choosing a person who is a fan of professional football and let event C be choosing a person who is a fan of car racing.

Which statements are true? Select three options.

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Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Answer:

(-2, -1)

Step-by-step explanation:

The easiest way to approach this problem is to think of each quadrant as being 90 degrees. As you can see, each quadrant has a 90 degree angle.

If we were to move 2 quadrants (or 180 degrees) clockwise, we would end up in the third quadrant (- , -)

Because we are moving clockwise on the graph, the shape would also turn clockwise. 180 degrees is the halfway point, so the shape will appear to be upside down.

If you're a visual learner, I'd recommend finding a website with an online graph (something like desmos or geogebra) that would allow you to actually graph the points and change their position with commands.

Hope this helps :)

Answer:

I think it's 21.26%

Step-by-step explanation:

tip: 34.29-27=7.29$

the percent tip: (7.29×100)/34.29=21.26 (approximately)

Answer:

Independent: Time

Dependent: Views

Step-by-step explanation:

Independent variables are the things that are purposefully altered.

Dependent variables are the things that change in response to the independent variables being changed.

As the hours increase, so do the views. The views will change as time goes by. A change in the number of views does not affect the time passed. Therefore, time is the independent variable and the number of views is the dependent variable.

Answer:

12

Step-by-step explanation:

because when u plus 4+4+4 it's 12

Answer:

$200

Step-by-step explanation: You take $9.00 and multiply it by 30 and then you take whatever that answer is and subtract 70 from it to get the net income

Answer:

Y = 23

Step-by-step explanation:

In the equation (y = -3x + 11) the X is the input value. When you replace this by -4 you will multiply -4*-3 which will give you 12 and then you will want to add 11 as that is your y intercept. Giving the value of your Y a 23, or the point would be (-4,23)

Answer:

125.1 cm^2  to 1 D.P.

Step-by-step explanation:

We could use Heron's formula to do this

Area = √(s(s-a)(s-b)(s-c) )  where s is the  semi-perimeter and a b and c are the lengths of the 3 sides

So we have:

s = (17+17+17) / 2 = 25.5

and Area = √(25.5)(25.5 - 17)^3)

= √15660.1875

= 125.14 cm^2

Answer:

[tex]f (2t + 1) = 4t^{2} - 2t - 2[/tex]

Answer:

2.44 units

Explanation:

[tex]\sf Arc \ Length = \dfrac{\theta}{360} * 2\pi r[/tex]

Here given:

Solve for AB:

[tex]\rightarrow \sf \dfrac{40}{360} *2(3.14)(3.5)[/tex]

[tex]\rightarrow \sf 2.4422...[/tex]

[tex]\rightarrow \sf 2.44 \quad (rounded \ to \ two \ decimal \ places)[/tex]

1inch = 2.5cm

∆ 30cm

5cm =2inch

Answer:

sqrt(13)

Step-by-step explanation:

The entire base is 4, so 1/2 of the base is 2

We can use the pythagorean theorem

a^2 = b^2 = c^2

2^2 + 3^2 = x^2

4+9 = x^2

13 = x^2

Taking the square root of each side

sqrt(13) = x

Check the picture below.

The probability that a student chosen randomly from the class is a male who does not have an A is 0.52

The given parameters are:

The probability that a student chosen randomly from the class is a male who does not have an A is calculated as:

P = 13/25

Evaluate

P = 0.52

Hence, the probability is 0.52

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Answer:

The volume of a rectangular prism with a height of 14 m, a width of 12 m, and a length of 2 m is equal to 336 m³.

General Formulas and Concepts:
Geometry

Volume Formula [Rectangular Prism]:
[tex]\displaystyle V = lwh[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

h = 14 m

w = 12 m

l = 2 m

Step 2: Find Volume

∴ the volume of the rectangular prism with the given dimensions is equal to 336 cm³.

___

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Topic: Geometry

Answer:

z = 58 mm

Step-by-step explanation:

Volume of the rectangular prism :

Solving :

Answer:

z = 58 mm

Step-by-step explanation:

Volume of a rectangular prism: length × width × height

V = L×W×H

Substitute the values above and solve for z:

122,264 = 62 × z × 34

122,264 = 2108z

122,264/2108 = 2108z/2108

58 = z

Final answer: 58 mm

Hope this helps!

Answer:

hope it helps you.......

If you know BN and AN, then you can use the fact that ∆ AQB and ∆ ABN are similar. which gives the relation

BN/BQ = AN/AB = AB/AQ

Now

AN/AB = AB/AQ   ⇒   AQ = AB²/AN = 36/AN

and

BN/BQ = AN/AB   ⇒   BQ = (BN • AB)/AN =  6 • BN/AN

where AB = 6 because it's the diameter of the circle, and C(O, 3) means the circle has center O and radius 3.

Answer:

38.73 cm

Step-by-step explanation:

Given:

Solution:

S² = (R - r)^2xh^2

(40)^2=(30-20)^2+h^2

1600=(10)^2+h^2

1600-100=h^2

h=√1500

h=10√15

h=38.73 (rounded to the nearest tenth)

Answer:

the answer is exponential

Step-by-step explanation:

Answer:

Hi! My guess would be exponential.

Step-by-step explanation:

stay safe, and I hope I helped I apologize if I am wrong, good luck friends