The length of a rectangle is twice the width. The area is 338 yd. Find the length and the width.

3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.

4. The cake takes up approximately 7317 cubic inches of space.

5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.

1. The units for Volume are always cubed.

2. Volume is the amount of space an object takes up. True.

3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:

V = 3.14 * (4.5)^2 * 32

V = 3.14 * 20.25 * 32

V ≈ 2034.72 cubic inches

4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.

Tier 1:

V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches

Tier 2:

V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches

Tier 3:

V3 = 3.14 * (5)^2 * 10 = 785 cubic inches

Total volume:

Total V = V1 + V2 + V3

Total V = 4521.6 + 2010.4 + 785

Total V ≈ 7317 cubic inches

5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:

V = (1/3) * 3.14 * (24)^2 * 12

V = (1/3) * 3.14 * 576 * 12

V ≈ 7234.08 cubic centimeters

for more such questions on volume

https://brainly.com/question/1972490

#SPJ8

Answer:

There are 40 apples in the basket.

This is because 5 apples to 3 pears have a difference of 1.66666667 when dividing 5 by 3 to show the ratio difference. Then, all you do is multiply this number by the number of total pears which would look like 24 x 1.66666667 = 40.

I hope this helped you, have an amazing day! :)

Answer:

n= 18

Step-by-step explanation:

:)

Answer:

18

Step-by-step explanation:

\(\frac{2}{3} *n=12\\\frac{2}{3} *n/\frac{2}{3} =12/\frac{2}{3} \\n=18\)

Answer:

43 degrees

Step-by-step explanation:

Using SOHCAHTOA, you are given the opposite and adjacent, the opp being 15 and the adj being 16.

Tan B = \(\frac{opp}{adj}\)

Tan B = \(\frac{15}{16}\)

      B = \(tan^{-1}\)(\(\frac{15}{16}\))

      B = 43.15238973 degrees

Therefore, the answer is 43 degrees since you're looking for it to the nearest degree.

Answer:

43 degrees

Step-by-step explanation:

i did the work

Given that,

An expression : 4(n- 3²) + n

To find,

The equivalent expression.

Solution,

We have,

4(n- 3²) + n

As 3²= 9

= 4(n- 9) + n

Opening the brackets,

= 4n-4(9) + n

= 4n-36 +n

= 5n-36

Hence, the equivalent expression is 5n-36.

Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

total length = 19 units

Step-by-step explanation:

Notice that the distance between the extremes of the first segment of the trail, is a horizontal segment of 9 units length.

The second segment from (3,3) to (3, -4) is  vertical one of length 3 - -4 = 7 units.

The third segment of the trail  from (3, -4) to (6, -4) is another vertical segment of length 6=3 = 3 units.

Therefore,the total length of the trail is 9 + 7 + 3 = 19 units

Answer:

That would be negative 45 or - 45

Please correct me if im wrong

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Answer:

eight less than a number

Answer:

66.3

Step-by-step explanation:

Trust

Two polygons are congruent if they have the same size and shape, which can be expressed mathematically by writing a≅a, b≅b, and c≅c, where “≅” represents congruence.

A congruence statement is a statement that two figures are congruent, meaning they have the same size and shape. In order to write a congruence statement for a polygon, we must first identify the polygon and its properties. For example, let's consider a triangle with sides of length a, b and c. We must then use the definition of congruence to state that the triangle is congruent to another triangle with the same side lengths. Mathematically, this can be expressed by writing a≅a, b≅b, and c≅c, where “≅” represents congruence. To further illustrate this definition of congruence, we can use the Side-Side-Side (SSS) Congruence Theorem, which states that if two triangles have all three side lengths equal, then the two triangles are congruent. Thus, if triangle ABC and triangle DEF both have sides of length a, b, and c, then the congruence statement would be ABC≅DEF.

Learn more about Congruence Theorem here:

https://brainly.com/question/19258025

#SPJ4

4.352 rounded to the nearest tenth

Is 4.4

Answer:

4.4

Step-by-step explanation:

The nearest tenTH is the number right after the decimal point. To identify, look at the next digit see if its greater than half way or exactly halfway then you will know when to add an extra tenth.

The length of BD is 22.

In the given scenario, let's consider the following information.

AD = 8

AE = 6

EC is 12 more than BD.

To find the length of BD, we can utilize the Intercepted Arcs Theorem, which states that when two secants intersect outside a circle, the measure of an intercepted arc formed by those secants is equal to half the difference of the measures of the intercepted angles.

From the given information, we know that AD = 8 and AE = 6.

Since these are the lengths of the secants, we can use them to calculate the intercepted arcs.

First, let's find the intercepted arc corresponding to AD:

Intercepted Arc ADB = 2 \(\times\) AD = 2 \(\times\) 8 = 16

Similarly, we can find the intercepted arc corresponding to AE:

Intercepted Arc AEC = 2 \(\times\) AE = 2 \(\times\) 6 = 12

Now, we know that EC is 12 more than BD.

Let's assume the length of BD as x.

BD + 12 = EC

Now, let's consider the intercepted arcs theorem:

Intercepted Arc ADB - Intercepted Arc AEC = Intercepted Angle B - Intercepted Angle C

16 - 12 = Angle B - Angle C

4 = Angle B - Angle C.

Since Angle B and Angle C are vertical angles, they are congruent:

Angle B = Angle C.

Therefore, we can say:

4 = Angle B - Angle B

4 = 0

However, we have reached an inconsistency here.

The equation does not hold true, indicating that the given information is not consistent or there may be an error in the problem statement.

As a result, we cannot determine the length of BD based on the given information.

For similar question on length.

https://brainly.com/question/30582409  

#SPJ8

Answer:

a (5)

Step-by-step explanation:

The constant is the same as y/x in a proportional relationship

Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Step-by-step explanation:

For a dilation at the origin, multiply each of the coordinates by the scale factor.

\(Q(-2,3) \longrightarrow Q'(-1/3, 1/2) \\ \\ R(-3,1) \longrightarrow R'(-1/2, 1/6) \\ \\ T(2,-1) \longrightarrow T'(1/3, -1/6) \\ \\ W(2,4) \longrightarrow W'(1/3, 2/3)\)

Answer:

Hope it helps, please give brainlest!

Step-by-step explanation:

Answer: The answer is A. 16.1%

Step-by-step explanation:

Answer:22.6

Step-by-step explanation:

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

The angles are 29° and 61°.

Let the smaller angle be x

Let the larger angle be x+32.

The sum of the complimentary angles will be 90°.

Therefore, x + x + 32° = 90°

2x + 32° = 90°

2x = 90° - 32°

2x = 58°

x = 58/2

x = 29°

The larger angle = x + 32 = 29 + 32 = 61°

Answer:  

83 Tenths  

830 hundreths  

Step-by-step explanation:  

8.30=8.3 Remove the points and they will give you how many tenths or hundreths

(hope this helps can i plz have brainlist :D hehe)

Answer:

8.3 tenths place is 3

8.3 hundredths place is 0

Why?

Because the first digit right of the decimal point will always be considered the tenths place, the second digit of the right of the decimal point is going to be the hundredths place, in this case it is 0 since there is no value of the hundredths place so you simply consider it 0. The tenths place is given since it is the first digit right of the decimal point, which is 3.

The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 1/ ( x + 2 ) ( x - 5 )

The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.

Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )

To learn more about rational functions click :

https://brainly.com/question/26594994

#SPJ1

The complete question is attached below :

Which of the following rational functions is graphed below?

A. F(x) =(x-2)/(x+5)

B. F(x) =1/(x-2)(x + 5)

C. F(x) =1/(2x + 5)

D. F(x)= 1/(x+2)(x-5)

Answer:

Kindly check explanation

Step-by-step explanation:

Given tbe data :

21, 15, 16, 25, 13, 18 5, 3, 2, 6, 5, 2, 5

Ordered data : 2, 2, 3, 5, 5, 5, 6, 13, 15, 16, 18, 21, 25

Mean, m = Σx /n

Σx = 136

n = sample size = 13

m = Σx / n = 136 / 13 = 10.46

Mode, = 5 (most frequently occurring with frequency of 5)

Median = 1/2(n+1)th term = 1/2(14) = 7th term = 6

Range = maximum - minimum = [25 - 2] = 23

Variance : (V) = Σ(x - m)²/n-1

V = [(2-10.46)^2 + (2-10.46)^2 + (3-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (5-10.46)^2 + (6-10.46)^2 + (13-10.46)^2 + (15-10.46)^2 + (16-10.46)^2 + (18-10.46)^2 + (21-10.46)^2 + (25-10.46)^2] / (13-1)

= 745.2308 / 12

= 62.10

Standard deviation = sqrt(V) = sqrt(62.10) = 7.88

2.)

X : 6, 45, 52, 43, 48, 41, 50, 48

Reordered data, X: 6, 41, 43, 45, 48, 48, 50, 52

Mean, m = Σx /n

Σx = 333

n = sample size = 8

m = Σx / n = 333 / 8 = 41.625

Median = 1/2 (n+1)th term = 46.5

Range = 52 - 6 = 46

Mode = 48 (highest occurring frequency of 2)

Variance (V) = Σ(x - m)²/n-1

V = [(6-41.625)^2 + (41-41.625)^2 + (43-41.625)^2 + (45-41.625)^2 + (48-41.626)^2 + (48-41.625)^2 + (50-41.625)^2 + (52-41.625)^2] / 5

= 1541.862251 / 7

= 220.27

Standard deviation = sqrt(Variance)

Standard deviation = sqrt(220.26603)

Standard deviation = 14.84

The median

The answer is,

\(y = 1.6\)

Answer:

Y = 1.6

Step-by-step explanation:

Y = 2 - 0.4

Y = 1.6

Answer:

Step-by-step explanation:

x^2 + 11x + 20 = -8

x^2 + 11x + 28 = 0

(x + 7)(x + 4) = 0

x + 7 = 0

x = -7

x + 4 = 0

x = -4

If x = -4 and -7 to a quadratic function, f(x) = x²+ 11x + 20 then, f(x) = -8.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A quadratic function,

f(x) = x²+ 11x + 20

If f(x) = -8,

x²+ 11x + 20 = -8

x²+ 11x + 28 = 0

x²+ 4x + 7x + 28 = 0

(x + 4) (x + 7) = 0

x = -4 and -7.

Substituting the values to the function,

f(-4) = (-4)²+ 11(-4) + 20 = -8

f(-7) = (-7)²+ 11(-7) + 20 = -8

Therefore, the required values are x = -4 and -7.

To learn more about the quadratic function;

https://brainly.com/question/11485644

#SPJ2

Answer:

Radius = 25.5 units

Diameter = 51 units

Step-by-step explanation:

r = radius of circle

d = Diameter of circle

  = \(2r\)

Circumference of circle = \(2\pi r\)

Substitute the provided value of the circumference:

                               \(51\pi = 2\pi r\)

r is to be isolated and made the subject of the formula:

                                 \(r = \frac{51\pi}{2\pi}\)

\(\pi\) in the numerator and denominator cancel each other outcompletely:

                                 \(r = \frac{51}{2}\)

                          ∴r = radius of circle = 25.5 units

This also means that:

\(d = 2r\)

\(d = 2(25.5)\)

∴d = Diameter of the circle = 51 units

Answer:

x^2+2x+1

Step-by-step explanation: