How is rotation and dilation similar?

Answer:

90670998.89999999999999

Answer:

F = 24

Step-by-step explanation:

simplify 1/8

(1/8 x F) - 3 = 0

3 = 3/1 = 3 x 8/ 8

F x (3 x 8) / 8 F - 24/ 8

F - 24/ 8 = 0

F - 24/ 8 = 0 x 8

Answer:

  24

Step-by-step explanation:

You want to know f for 1/8f = 3.

Multiply the given equation by 8 to undo the multiplication by 1/8:

  8(1/8f) = 8(3)

  f = 24 . . . . . . . . simplify

The value of f is 24.

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Answer:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Step-by-step explanation:

Answer:

45%

Step-by-step explanation:

45 boxes are shaded

so percentage shaded is 45 out of the total which is 100

so 45 / 100 X 100

=45%

There are 23.33 pounds of defective nails should the manager expect the 350-pound delivery to contain.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails.

And, The manager found that 0.3 pounds of nails in the sample were defective.

Since, The manager found that 0.3 pounds of nails in the sample were defective.

Hence, Amount of pounds of defective nails should the manager expect the 350-pound delivery to contain is,

⇒ 350 × 0.3 / 4.5

⇒ 23.33 pounds

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Answer:

Step-by-step explanation:

Answer: 24.0 degrees

Explanation: Using the Law of Sines, you can set up a ratio of

[tex]\frac{sin(62)}{740} = \frac{sin(H)}{340}[/tex] to find angle H. After solving for angle H through cross multiplication, you get [tex]H = sin^{-1} (\frac{sin(62) * 340}{740})[/tex]. Then, solving for H, you get a value of 24.0. To find all other cases, you can do 180-24.0, which results in 156.0 degrees. However, when you add 156.0 to 62, you get a value greater than 180, meaning that answer cannot be used. So, your final and only answer is 24.0. Hope this helped!

Answer:

24 degrees

Step-by-step explanation:

see attached image

Answer:

x = 10 and x = 2

Step-by-step explanation:

x² - 6x + 20 = 6x

x² - 12x + 20 = 0

We should have values of p and q that multiply and give the answer as 20 and if added give -12.

=> p * q = -10 * -2 = 20

=> p + q = -10 + (-2) = -12

Therefore, we can factor it now:

(x - 10) (x - 2) = 0

We can say:

x - 10 = 0, and x - 2 = 0

=> x = 0 + 10, and x = 0 + 2

=> x = 10 and x = 2

Hope this helps!

Each state is given a specific amount of "votes" under the "Electoral College" system. The amount of "votes" each state receives is proportionate to its size.

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Answer:

4 i think

Step-by-step explanation:

i think 2 but i dont know for sure ahahahaha

Answer:

[tex]18m^2[/tex] of cement

Step-by-step explanation:

since 4*6 is 24

You want to take 24 and subtract 1/4 of the rectangles area.

1/4 of 24 is 6

24 - 6 is 18

Answer:

The population in 4 years will be 33,000.

Step-by-step explanation:

I got this because 8% of 25,000 is 2,000 so what this mean is that in one year the population increase by 2,000 since the question ask for 4 years,              4x 2,000 = 8,000, so in 4 year the population increase by 8,000 making the population 33,000 because before the 4 years the population was already 25,000 and in the 4 years the 8,000 more people come making the population then 33,000.

Answer:

[tex] \frac{7}{8} \times \frac{4}{5} = \frac{7 \times 1}{2 \times 5} \\ = \frac{7}{10} [/tex]

Answer:

you can eliminate the x terms in this system by multiplying each side by 3.

Step-by-step explanation:

in order to eliminate a variable from a system of equations, you must multiply whatever variable you want to eliminate (in this case, x) by a number that will make the variable you want to eliminate in the first (4y+3x=-6) and second (which is y-x= -5) equations cancel out when adding them together

a written example for further clarification:

step 1:

4y + 3x = -6

3*(y - x = -5)

up here, you can see i'm multiplying the bottom equation by 3 in order to change the value of x from x to -3x, so that when you add the top and the bottom equations together, x is nowhere to be found in the resulting equation (this is what you want)

step 2:

distribute the 3 to all terms in the second equation. this gives you:

(3y-3x = -15).

step 3:

now add this new equation to the first equation (4y+3x=-6).

This gives you:

4y+3x=-6

+

3y-3x=-15

then just add the like terms (4y and 3y, 3x and -3x, -6 and -15).

which gives you (7y=-21)

see how x is not in the resulting equation? you have now successfully eliminated it :] hope this helped!

The number you thought of is -1.

To solve this problem, you can use algebra to represent the unknown number as a variable (let's call it x) and the given information as equations. The first step is to determine what the problem is asking for. In this case, it is asking to find the original number before it was doubled and 3 was added. To do this, you can use the information given in the problem to set up equations.

The first equation is (2x+3)*4 = 52. You can then solve this equation for x. First, you can simplify the left side of the equation by distributing the 4 to the 2x and the 3: 4x + 12 = 52. Then, you can subtract 12 from both sides to get 4x = 40. Finally, you can divide both sides by 4 to get x = 10. however, this is not the solution, since the problem does have not a unique solution. x=-1 is also the solution.

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The combined volume of the podium and the platform is 64 cubic feet.

This sort of figure offers several choices. We really only need to consider how to divide the front face into appropriate rectangles, since the depth of the figure is 2 feet everywhere.

The volume is the area of the front face times that depth.

1) A 2 ft × 4 ft upright atop a 12 ft × 2 ft horizontal base. The frontal area is

(2 ft)(4 ft) +(12 ft)(2 ft) = 8 ft² +24 ft² = 32 ft

so, the total volume is:

V = frontal area × depth

V= (32 ft²)(2 ft)

V=64 ft³

2) A vertical post of 2 ft × 6 ft at the left side with a horizontal protrusion of 10 ft × 2 ft from its bottom.

The frontal area calculated this way is:

(2 ft)(6 ft) +(10 ft)(2 ft) = 12 ft² +20 ft² = 32 ft²

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

3) A 6 ft × 12 ft rectangle with a 4 ft × 10 ft cutout from the upper right corner. The area calculated this way is

(6 ft)(12 ft) -(4 ft)(10 ft) = 72 ft² -40 ft² = 32 ft² . . . . . same as above

Again, the total volume is (32 ft²)(2 ft) = 64 ft³.

V=64 ft³.

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Answer:

22cm  

the ans is in the picture with the steps  

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

Step-by-step explanation:

Answer:

21.98 rounded = 22

Step-by-step explanation:

There are two formulas to find circumference either C=2πr or C=πd.

In the first formula the "r" stands for radius, the "d" in the second formula stands for diameter. Since you know what the radius is (mentioned in the problem) we will use the formula C=2πr. You will substitute "r" for 3.5, it will look like this C=2π3.5. Now you will multiply 3.5x2=7. Now you are left with C=7π. Now you would multiply 7 times π (you could use 3.14 as a substitution for π) 7x3.14=21.98. Since you need to round to the nearest tenth, your answer would be 22.

Answer:

25%  

a half is 50%

a quarter is 25%

Answer: It's option C

Step-by-step explanation:

Well 1 quarter is 25

2 quarters is 50

3 quarters is 75

4 quarters is a dollar

Answer:

A regular (equilateral) triangle

Step-by-step explanation:

A triangle is regular if all their side are the same, which is the case here.

Answer:

∠ SQT = 63°

Step-by-step explanation:

since QS bisects ∠ RQT , then

∠ RQS = ∠ SQT = 7x + 7

then

∠ RQS + ∠ SQT = ∠ RQT , that is

7x + 7 + 7x + 7 = 9x + 54

14x + 14 = 9x + 54 ( subtract 9x from both sides )

5x + 14 = 54 ( subtract 14 from both sides )

5x = 40 ( divide both sides by 5 )

x = 8

Then

∠ SQT = 7x + 7 = 7(8) + 7 = 56 + 7 = 63°

Answer:

Explanation is^{}

in a file

bit.^{}

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Answer:

66

Step-by-step explanation:

22 per minute

?   Per 3 minutes

22 x 3 = 66

Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).

Position = Rate x Time

Position = 22 feet/minute x 3 minutes = 66 feet

So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.

It means the whale descended for 66 feet from the surface level of the water.

Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.

Step-by-step explanation:

Answer:

<B =121

Step-by-step explanation:

If the angles form a linear pair, they add to 180

6x-19 + 11x-22 = 180

Combine like terms

17x -41 = 180

Add 41 to each side

17x-41+41 = 180+41

17x = 221

Divide by 17

17x/17 =221/17

x =13

<b = 11x-22 = 11*13 -22 = 143-22 =121

The system X² y² 25 and ay 10 has no real solutions.

To solve this system, we need to solve each equation for y.

For the first equation, X² y² 25, we can divide both sides by X² to get:

y² = 25/X²

Then, take the square root of both sides to get:

y = ± √(25/X²)

For the second equation, ay = 10, we can divide both sides by a to get:

y = 10/a

To find out if the system has real solutions, we need to compare the two equations. Since the two equations are not equal, the system has no real solutions.

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If the hypotenuse is given to the 45 45  90 triangles, the leg of the triangle is calculated after dividing the hypotenuse by [tex]\sqrt{2}[/tex].

The 45, 45, and 90 triangle is a type of isosceles triangle where the two legs are the same as each other and other non-right angles are both 45 degrees. Most of the time, Pythagoras' theorem is used for finding out the missing legs and hypotenuses of 45, 45, and 90 triangles.

If the leg of the triangle is equal to a, then:

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The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.

The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.

The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.

Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.

Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.

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Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

Using the equals symbol (=), a mathematical equation appears to be a formula that connects two statements and denotes equality. A scientific assertion that supports the equality of two mathematical abstraction is known as an equation in algebra. For instance, the equal sign is present between the variables ptdc + 6 and 12 in the output obd + 6 = 12. The link between the syllable on either side of either a letter is described by a mathematical formula. In many cases, the logo and the say — are identical.

Here,

Given: A new supply of 300 spark plugs will come on Thursday,

and 520 spark plugs require 48 plugs per day.

To determine an equation to determine however many plugs will just be left at the end of Friday:

So,

where n is the no of days

=> 520 - 48*n + 300

=> 520 - 48*5 + 300

=> 520 - 240 + 300

=> 520 + 60

=> 580

Therefore , the solution of the given problem of equation comes out to be 580 spark plugs will be left.

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Answer:

A.

Step-by-step explanation:

I don't think I need to explain this.