Select all that apply.
The figures below are not similar because
the corresponding angles are congruent
the corresponding sides are not proportional
the corresponding sides are proportional
they are not the same shape

The volume of the cylinder is 6.18 \(cm^3\).

The volume of a cylinder—which corresponds to how much material can be transported inside of it or immersed in it—determines its density. The volume of a cylinder is calculated using the formula \(r^2h\), where r is the radius of the circular base and h is the height of the cylinder. The material might be any substance that can regularly fill the cylinder with liquid or another substance.

Use the following formula to determine a cylinder's volume:

V = π\(r^2h\)

where r is the radius of the cylinder (diameter / 2), h is the height of the cylinder, and π is approximately equal to 3.14.

First, find the radius:

r =\(\frac{ 1.26}{ 2}\)

r = 0.63 cm

Next, find the volume:

V = π\(r^2h\)

V = π\((0.63)^2(5.0)\)

V= π * 0.3969 * 5.0

V= 3.14 * 0.3969 * 5.0

V = 6.18 \(cm^3\) (rounded to 2 decimal places).

So, the volume of the cylinder is 6.18 \(cm^3\).

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The correct Borda count for the individuals is: B. 15 + 16 + 9

To assign Borda count for the individuals, we need to assign points in the order of 3, 2, and 1. If we were to do this, 5 could be multiplied by 3 to give 15, 8 would be multiplied by 2 to give 16 and 9 will be multiplied by 1 to give 9.

So, the Borda count for Harry, Meghan, and Isaac will be rearranged in such a way that in the end, the first candidate may no longer hold the first position.

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Hello!

surface area

= 2(6*2) + 2(4*2) + 4*6

= 2*12 + 2*8 + 24

= 24 + 16 + 24

= 64 square inches

Answer: 7

Step-by-step explanation:

7

↪18cm

5^2 + 17^2 = a^2

25 + 289 = a^2

314 = a

√(314) = a

17 . 72 = a

The measure of hypotenuse is 17.72cm

it is equal to 18cm

☆...hope this helps...☆

_♡_mashi_♡_

Answer:

1350m

Step-by-step explanation:

Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.

From the given information,

D= ⅔(E +F) -----(1)

E= ½(D +F) -----(2)

Let's get rid of the fraction so the equations are much easier to work with.

From (1):

3D= 2(E +F) (Multiply both sides by 3)

3D= 2E +2F -----(3) (Expand)

From (2):

2E= D +F -----(4)

Substitute (4) into (3):

3D= D +F +2F

3D -D= 3F

2D= 3F

Given that Farah ran 360m, F= 360.

2D= 3(360)

2D= 1080

D= 1080 ÷2

D= 540

2E= D +F

2E= 540 +360

2E= 900

E= 900 ÷2

E= 450

Total distance the 3 girls ran

= D +F +E

= 540 +360 +450

= 1350m

Alternatively, you could start by substituting F= 360 to equations (1) and (2).

Answer:

y=x-4

Step-by-step explanation:

I graphed this out and got the equation.

Answer:

14 cm²

Step-by-step explanation:

1/2 (7•4)

1/2 (28)

14

Answer:14

Step-by-step explanation:

I believe it is asking you to multiply 4 and 7 getting 28, then divide that by 2 so 14

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination​ (IRD) phase of systems analysis except beta testing.

According to the information presented in this video, all of the following activities are likely to occur in the information requirements determination (IRD) phase of systems analysis except beta testing. The IRD phase of the systems analysis process is used to determine information requirements for the system being developed. The IRD process identifies what information is needed to support business functions and operations.

The activities that are carried out during the IRD phase of the systems analysis process include: Reviews of paper-based forms and reports Interviews with system users Observation of system use Meetings with the development team Therefore, the answer is option C. Beta testing is not a part of the IRD phase of systems analysis.

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There are four 1/4’s per hour

Multiply the miles by 4:

15 3/4 x 4 = 63 miles per hour

Answer:

9/4

Step-by-step explanation:

Divide 20 1/4 by 9

you get your result

Answer:

remainder = 5

Step-by-step explanation:

Using synthetic division

 \(\frac{1}{2} \) | 2   7   - 8   7

     ↓   1     4    - 2

   -----------------------

     2  8   - 4      5 ← remainder

The remainder is 5

Answer:

x^4/64y^10

Step-by-step explanation:

Answer:

=4

Step-by-step explanation:

823 can be written as

3√82

=3√64

=3√(4)(4)(4)

=4

If \(f^{-1}(x)\) is the inverse of \(f(x)\), then

\(f\left(f^{-1}(x)\right) = x\)

which means

\(2f^{-1}(x)+3 = x\)

Solve for \(f^{-1}(x)\) :

\(2f^{-1}(x) + 3 = x \\\\ 2f^{-1}(x) = x - 3 \\\\ f^{-1}(x) = \dfrac{x-3}2 = \boxed{\dfrac12x-\dfrac32}\)

Answer:

1 and 1/2 multiplied by 2

1 and 1/2 doubled

Answer=3

Since 1 and 1/2 are equal to 1.5, you can add 1.5 to 1.5 to successfully multiply it, getting 3.

Step-by-step explanation:

Answer:

12a+62b

Step-by-step explanation:

4a(2+3b)-5b(4a-10)

opening brackets

=8a+12b-20a+50b

=8a-20a+12b+50b

=-12a+62b

The more precise estimator ẏ₁ is the most efficient in estimating the average salary. With given values, the confidence interval is calculated to determine whether to accept the claim of a $50,000 mean salary.



In this scenario, we have two estimators for the average salary: ẏ₁, which uses precise data, and ẏ₂, which includes less precise data. The efficiency of the estimators depends on the variance of the data. If we compare the variances, Var(ẏ₁) = 0% and Var(ẏ₂) = o²(1 + 3c). Since Var(ẏ₁) is zero, it implies that ẏ₁ is the most efficient estimator. The answer does not depend on the value of c.

In the second part, with c = 0, we have Var(Y) = o². Given N = 300, s² = 20,000,000, and ẏ₁ = $48,000, we can use these values to construct a confidence interval. Using a 1% significance level, the critical value is 2.57 (from the standard normal distribution). The confidence interval is given by ẏ₁ ± 2.57 * sqrt(s²/N), which results in $48,000 ± 2.57 * sqrt(20,000,000/300). If this interval contains $50,000, we would accept your friend's claim; otherwise, we would reject it.

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CALCULATE THE AREA

=LENGTH X BREADTH

=6M X 1M

\(6 {m}^{2} \)

NOW CHANGE THE METRES TO MILLIMETRES

=1000MM=1M

SO,IF 1M=1000MM

THEN 6M=MORE

IF MORE LESS WILL DIVIDE

GIVING YOU

\( \frac{6}{1} \times 1000mm\)

\(6000mm\)

The grocer needs to mix 495 kg of almonds with the 180 kg of Brazil nuts to create a mixture that sells for $1.28/kg.

Let's assume that the grocer needs to mix x kilograms of almonds with the existing 180 kg of Brazil nuts to create a mixture that sells for $1.28/kg. To solve the problem, we can set up an equation that equates the cost of the nuts to the selling price of the mixture.

The cost of the almonds is $1.20/kg, and the cost of the Brazil nuts is $1.50/kg. The cost of the mixture is $1.28/kg. So, we can write:

1.20x + 1.50(180) = 1.28(x + 180)

Simplifying the equation, we get:

1.20x + 270 = 1.28x + 230.40

0.08x = 39.6

x = 495

In summary, the grocer can determine the amount of almonds needed by setting up an equation based on the cost of the nuts and the selling price of the mixture. By solving the equation, the grocer can determine that 495 kg of almonds are needed to create a mixture that sells for $1.28/kg.

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Answer:

y=x+4

Step-by-step explanation:

y=mx+b

The total cost of the fence will be £841. The solution is obtained using the concept of perimeter of triangle.

What is perimeter of triangle?

Any two-dimensional figure's perimeter is determined by the space surrounding it. By summing the lengths of the sides, we can determine the perimeter of any closed shape.

We are given a right-angled triangle with one angle 59° and the adjacent side as 145 meters.

We know that tan θ = Opposite side/Adjacent side

⇒ tan 59° = Opposite side/145

⇒ 1.66 = Opposite side/145

⇒ 241 meters(approx) = Opposite side

Now, using pythagoras theorem,

⇒Hypotenuse^2 = Base^2 + Perpendicular^2

⇒Hypotenuse^2 = 241^2 + 145^2

⇒Hypotenuse^2 = 58,081 + 21,025

⇒Hypotenuse^2 = 79,106

⇒Hypotenuse = 281 meters(approx)

Perimeter of triangle = Sum of three sides

⇒ Perimeter = 145 + 241 + 281

⇒ Perimeter = 667 meters

The fence costs £ 1.26 per meter

Total cost of fence = 1.26 * 667 = £840.42 = £841

Hence, the total cost of the fence will be £841.

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Thomas can pack the items into a maximum of 20 bags, with each bag containing 24 items after calculated with greatest common divisor.

To find the maximum number of bags Thomas can pack, we need to find the greatest common divisor (GCD) of 120, 168, and 192. The GCD will represent the maximum number of items that can be packed into each bag.

To find the GCD, we can use the Euclidean algorithm. First, we find the GCD of 120 and 168:

168 = 1 * 120 + 48

120 = 2 * 48 + 24

48 = 2 * 24 + 0

Therefore, the GCD of 120 and 168 is 24.

Next, we find the GCD of 24 and 192:192 = 8 * 24 + 0

Therefore, the GCD of 120, 168, and 192 is 24.

So, Thomas can pack 24 items into each bag. To find the maximum number of bags he can get, we divide the total number of items by 24:

Total number of items = 120 + 168 + 192 = 480

Number of bags = 480 / 24 = 20

Therefore, Thomas can get a maximum of 20 bags.

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Answer:

x = 30

Step-by-step explanation:

correct me if i am wrong but i think you have to

a.) change the denominator's to be the same :

ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )

b.) put the formula back together :

3x/10 + 2x/10 = 15

5x/10 = 15

5x = 150

x = 30

The solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

We start with the augmented matrix:

[1 2 3 | 2]

[-1 2 5 | 5]

[2 1 3 | 9]

First, we eliminate the variable x₁ from the second and third equations by adding the first equation to them:

[1 2 3 | 2]

[0 4 8 | 7]

[0 -3 -3 | 5]

Next, we eliminate the variable x₂ from the third equation by adding 3/4 times the second equation to it:

[1 2 3 | 2]

[0 4 8 | 7]

[0 0 3 | 18/4]

Now, we have the system in row echelon form. We can perform backward substitution to find the values of the variables. Starting from the last equation, we have:

3x₃ = 18/4 -> x₃ = 18/4 / 3 = 3/2

Substituting this value back into the second equation, we have:

4x₂ + 8(3/2) = 7 -> 4x₂ + 12 = 7 -> x₂ = -5/4

Finally, substituting the values of x₂ and x₃ into the first equation, we have:

x₁ + 2(-5/4) + 3(3/2) = 2 -> x₁ - 5/2 + 9/2 = 2 -> x₁ = 0

Therefore, the solution to the linear system is x₁ = 0, x₂ = -5/4, and x₃ = 3/2.

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Answer: linear

Step-by-step explanation: the x values aren't repeated so it's linear

Answer:

multiply length time width  

Step-by-step explanation:

6+ 7•log2 x = 21

7.log2 x = 21-6

7. log2 x = 15

log2 x = 15/7

x = 2^(15/7)

x = 4.416 = 4.42