The distance around a circular dance hall room is 135 feet. What is the longest distance around the dance hall?

Answer:

I think it is cos J, because side LI = 17 and IM = 8, adjacent/hypotenuse= cosine, therefore cos J = 8/17 = sin L.

Please mark Brainiest, am trying to become Virtuoso

Final answer:

The volume of a square pyramid changes by a factor of 4/27 when the base area is quadrupled and the height is reduced to 1/9 of its original size.

Explanation:

The volume of a square pyramid can be found using the formula:

Volume = (1/3) * Base Area * Height

If the base area is quadrupled, it means the new base area is 4 times the original.

If the height is reduced to 1/9 of its original size, it means the new height is 1/9 of the original.

Therefore, the change in volume can be calculated as:

Change in Volume = (1/3) * (4 * Original Base Area) * (1/9 * Original Height)

Simplifying the expression, we get:

Change in Volume = (4/27) * Original Volume

Answer:

its B

Step-by-step explanation:

No, x = 0 is not a valid solution for log(x + 7) + log(x − 3) = 17 .

Given,

log(x + 7) + log(x − 3) = 17

Here,

Substitute the value of x in the equation,

log(7) + log(-3) = 17

So,

log(-3) is not a valid number and thus its value does not exist .

Thus the equation can not be equated to 17 .

Hence option B is correct .

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Answer:

x=50

Step-by-step explanation:

since all triangles angles add up to 180 and x and the other corner look equal, than minus 80 from 180 and then divide by two (because of the 2 corners.) x=50 degrees

Answer:

2 1/2

Step-by-step explanation:

If you do the step by step calculation:

Step 1: Simplify both sides of the equation.

2(12+2x+15+2x)=74

(2)(12)+(2)(2x)+(2)(15)+(2)(2x)=74(Distribute)

24+4x+30+4x=74

(4x+4x)+(24+30)=74(Combine Like Terms)

8x+54=74

8x+54=74

Step 2: Subtract 54 from both sides.

8x+54−54=74−54

8x=20

Step 3: Divide both sides by 8.

8x divide by 8 and that is 20 divided by 8

leaves you with the answer 5/2.

If you then turn the improper fraction into a mixed fraction you get 2 and one half.

Answer= 2 1/2 or "a" DEPENDS ON WHAT QUIZ YOU HAVE

Peace!

Answer: B

Step-by-step explanation: Usa Pept

Final answer:

Michael's 8-mile training run should be on a path that is enjoyable and reflective of the marathon environment, helping to build endurance and maintain motivation.

Explanation:

Michael is training for a marathon and plans to run 8 miles in his first week. The appropriate path for him would depend on several factors including scenery, difficulty level, and whether the path is traffic-free. A key aspect of marathon training as illustrated through the personal story shared is a gradual increase in mileage and a lifestyle change towards constant movement. Michael's marathon training should ensure that his 8 miles are manageable and reflect the incremental changes in habits he's aiming for.

When selecting a path, Michael might consider one that is reflective of the marathon environment, which could include terrain similar to the race he plans to participate in, or he might choose a path known for its relaxing scenery to make the run enjoyable and maintain motivation. Regardless of the exact path taken, the focus should be on building endurance through consistent and enjoyable running experiences.

The situation that shows a constant rate of change the amount raised by a booster club compared w/ the number of raffle tickets sold.

A constant rate of change occurs when there is a consistent relationship between two variables, where a change in one variable consistently leads to a corresponding change in the other variable.

Here the booster club selling raffle tickets, a constant rate of change can be observed between the number of tickets sold and the amount of money raised by the club.

As the booster club sells more raffle tickets, the amount of money they raise increases.

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Answer:

-13

Step-by-step explanation:

you just start from -8 and work backwards.

so it's -8 multiply 4 to get -32, then add 6 to get -26, then divide 2 to get -13.

when you check from the beginning with -13, then it fits and the answer is -8!

Answer:

C) A reflection over the x-axis

Step-by-step explanation:

It shows the reflection but over the x-axis.

Answer:

Understanding zero as a number represented by the symbol 0 enabled mathematicians to have a representation of nothing. Having a digit to represent zero enables mathematics to be more abstract, and allows more complex problems to be solved.

Answer:

x^2  +7x+12

Step-by-step explanation:

(x+3)(x+4)

FOIL

first x*x= x^2

outer: 4x

inner:3x

Last 3*4=12

Add together

x^2+3x+4x+12

Combine like terms

x^2  +7x+12

The ratio of DVDs to CDs in Keenan's collection is 11:7, after simplifying the original ratio of 44:28 by dividing both terms by their greatest common divisor, which is 4.

Keenan has a collection of 28 CDs and 44 DVDs. To find the ratio of DVDs to CDs, we divide the number of DVDs by the number of CDs. This gives us:

Ratio of DVDs to CDs = Number of DVDs / Number of CDs

Ratio of DVDs to CDs = 44 / 28

Now, we can simplify this by dividing both numbers by the greatest common divisor (GCD), which is 4 in this case:

44 / 4 = 11

28 / 4 = 7

So, the simplified ratio is 11:7.

Therefore, the ratio of DVDs to CDs in Keenan's collection is 11:7.

A triangle is a three-sided two-dimensional shape that can be classified based on side lengths and angle measurements. There are various types of triangles, including equilateral, isosceles, scalene, acute, right, obtuse, equiangular, and right-angled isosceles triangles.

A triangle is a three-sided two-dimensional shape. It is a polygon, which is a closed figure with straight sides. Triangles can be classified based on their side lengths, such as equilateral (all sides are equal), isosceles (two sides are equal), and scalene (no sides are equal). They can also be classified based on their angle measurements, such as acute (all angles are less than 90 degrees), right (one angle is 90 degrees), and obtuse (one angle is greater than 90 degrees). Additionally, there are special types of triangles like equiangular triangles (all angles are equal) and right-angled isosceles triangles (one angle is 90 degrees and two sides are equal).

Answer:

r = 5.58

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

97.9 = 3.14 r^2

Divide each side by 3.14

97.9/3.14 =3.14 /31.4 r^2

31.17834395 = r^2

Take the square root of each side

sqrt(31.17834395) = sqrt(r^2)

5.583757153 = r

Answer: 5/25

5/50

Step-by-step explanation: If each part has 5 sections then it equals to 25 so you have a 5 out of 25 chance of getting it, The second time I added 25 twice since it says your spinning it twice, but you still only have 5 sections so you would have 5 out of 50

The calculated probability is 4 percent.

The student's question involves calculating the probability of two independent events occurring in sequence. Since each sector on the spinner is equal, the probability of landing on yellow for the first spin is 1 out of 5 or 0.2. Similarly, the probability of landing on blue for the second spin is also 1 out of 5 or 0.2.

Since these are independent events, their probabilities are multiplied to find the combined probability. Therefore, the probability of landing on yellow first and then on blue for the second spin is 0.2 * 0.2 = 0.04. This means there is a 4 percent chance of this outcome occurring.

Final answer:

Two test scores that fulfill the inequality s ≥ 92 are 92 and 95, meaning that Jared can get an A on his report card with either of those scores.

Explanation:

The inequality s ≥ 92 represents the score (s) that Jared must earn on his test to get an A on his report card. Since the inequality includes the 'greater than or equal to' symbol (≥), two possible test scores that Jared could earn to get an A would be 92 and any other number greater than 92, for instance, 95.

Answer:

how are we supposed to help with that

Step-by-step explanation:

use your snip tool on your computer and connect them

Answer:

Use the numbers that they gave you..

Step-by-step explanation:

It's not that hard

Answer:

The graph of f has an inflection point at x = 0.

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs.  Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.

The statements "The graph of f has an inflection point at x = 0." is true

The meaning of X-INTERCEPT is the x-coordinate of a point where a line, curve, or surface intersects the x-axis.

From above reasons we can say that the statement "The graph of f has an x-intercept at x = 0." is true

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Final answer:

Jerry saves more money each month than Tom. Tom saves 35% of his salary, whereas Jerry spends 3/5 and saves the remainder, which is 2/5 of his salary. Assuming equal salaries, Jerry's savings are greater.

Explanation:

The question is asking us to compare how much Tom and Jerry save from their salaries. Let's assume each of them earns the same amount of salary, say for example $1000 (this figure is just for simplicity and can represent any currency or amount).

Tom saves 35% of his $1000 salary, which is 0.35 * $1000 = $350.

Jerry spends 3/5 of his salary, which is 3/5 * $1000 = $600. Therefore, he saves 2/5 of his salary because 1 - 3/5 = 2/5. So Jerry saves 2/5 * $1000 = $400.

Comparing the two, Jerry saves more each month since $400 (Jerry's savings) is greater than $350 (Tom's savings).

Answer:

Step-by-step explanation:

x - 2 is a factor. Therefore, P(2) = 0

P(x) = x³ - 4x² + 3x + c

P(2) = 0

2³ - 4*(2)² + 3*2 + c = 0

8 - 4*4 +6 +c = 0

8 - 16 + 6 + c = 0

-2 + c = 0

c = 2

Answer:

1-B

2-A

3-D

4-B

5-C

6-C

7-A

8- The collision resulted in significant debris in low Earth orbit.

9-

10-

Step-by-step explanation:

Answer:

1.5 or 3/2

Step-by-step explanation:

Answer: Bonnie uses 1.5 millimeters of soy sauce with every 1 millimeter of vinegar.

Bonnie uses 2/3 millimeter of vinegar for every 1 millimeter of soy sauce.

Step-by-step explanation:

Cylinder A has a greater volume of approximately [tex]\( 33.9 \, \text{cubic meters} \)[/tex].

To compare the volumes of the two cylinders, we'll use the formula for the volume of a cylinder, which is:

[tex]\[ V = \pi \times r^2 \times h \][/tex]

Let's calculate the volumes step by step for Cylinder A and Cylinder B:

Cylinder A:

Given:

- Radius [tex](\( r \)) = 3m[/tex]

- Height [tex](\( h \)) = 1.2m[/tex]

Using the formula:

[tex]\[ V_A = \pi \times (3^2) \times 1.2 \][/tex]

[tex]\[ V_A = \pi \times 9 \times 1.2 \][/tex]

[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]

Cylinder B:

Given:

- Diameter [tex](\( d \)) = 4m[/tex] (so, \( [tex]r = \frac{d}{2} = \frac{4}{2} = 2 \) m[/tex])

- Height [tex](\( h \)) = 2.5m[/tex]

Using the formula:

[tex]\[ V_B = \pi \times (2^2) \times 2.5 \][/tex]

[tex]\[ V_B = \pi \times 4 \times 2.5 \][/tex]

[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]

Now, to determine which cylinder has the greater volume, we compare [tex]\( V_A \)[/tex] and [tex]\( V_B \)[/tex]:

[tex]\[ V_A = 10.8\pi \, \text{cubic meters} \][/tex]

[tex]\[ V_B = 10\pi \, \text{cubic meters} \][/tex]

Since [tex]\( 10.8\pi > 10\pi \)[/tex], Cylinder A has the greater volume.

Therefore, Cylinder A has a greater volume, approximately [tex]\( 10.8\pi \)[/tex]cubic meters.

Let's calculate the approximate numerical value for [tex]\( 10.8\pi \)[/tex]:

[tex]\[ 10.8\pi \approx 10.8 \times 3.14 \approx 33.912 \][/tex]

Complete correct question:

Which has a greater volume?

Cylinder A: r = 3m, h = 1.2m.

Cylinder B: d = 4m, h = 2.5m.

Round your answer to the nearest tenth.

Cylinder A has a greater volume.

To find the volume of a cylinder, we use the formula:

[tex]\[ V = \pi r^2 h \]For Cylinder A:- Radius \( r = 3 \) meters- Height \( h = 1.2 \) meters\[ V_A = \pi (3)^2 \times 1.2 \]\[ V_A = \pi \times 9 \times 1.2 \]\[ V_A = 10.8 \pi \][/tex]

For Cylinder B:

[tex]- Radius \( r = \frac{d}{2} = \frac{4}{2} = 2 \) meters- Height \( h = 2.5 \) meters\[ V_B = \pi (2)^2 \times 2.5 \]\[ V_B = \pi \times 4 \times 2.5 \]\[ V_B = 10 \pi \]Now, let's compare the volumes:\[ V_A = 10.8 \pi \]\[ V_B = 10 \pi \][/tex]

Since [tex]\( 10.8 \pi > 10 \pi \)[/tex], Cylinder A has a greater volume.

Rounded to the nearest tenth, the volume of Cylinder A is approximately 33.9 cubic meters, and the volume of Cylinder B is approximately 31.4  cubic meters.

Answer: m = - 4/3

Step-by-step explanation:

The formula to find slope is m = y2 - y1 / x2 - x1.

So for this problem I did 1 - 5 / -2 - (-5) which equals -4/3

Answer:

2 3/4 gallons

Step-by-step explanation:

We know that there are 4 quarts in a gallon

11 quarts * 1 gallon/ 4 quarts

11/4 gallons

Changing to a mixed number

2 3/4 gallons

Answer:

y = -6/7x -5

Step-by-step explanation:

6x+ 35=-7y

Divide each side by -7

6x/(-7)+ 35/-7=-7y/-7

-6/7x -5 = y

Flipping the sides

y = -6/7x -5

This is slope intercept form

y = mx+b where m is the slope and b is the y intercept

Answer:

Step-by-step explanation:

x² - 17x + 72 = 0

Sum = -17

Product  = 72

Factor = 8 , 9

x² - 17x + 72 = 0

x² - 8x -9x + (-8)*(-9) = 0

x(x - 8) -9(x -8) = 0

(x - 8 ) (x - 9) = 0

Length = (x - 8) units

Width = (x - 9) units