Given: mZ1= 74

Find the measures of 4, 3, 2, 8, 5, 7, and 6

It would help a lot :D

Answer

Check Explanation

Explanation

The volume of cone is given as

Volume of a cone = ⅓ (πr²h)

where

r = radius of the cone

h = height of the cone

also note that radius of a cone = ½ (Diameter of the cone)

1) Dylan's cone

Radius = 4.5 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 4.5² × 6)

= ⅓ (381.7035)

= 127.23 in³

2) Shane's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 4.5 inches

Radius = ½ (4.5) = 2.25 inches

Height = 6 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 2.25² × 6)

= ⅓ (95.426)

= 31.81 in³

3) Jake's cone

Radius = ½ (Diameter of the cone)

Diameter of the cone = 6 inches

Radius = ½ (6) = 3 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 3² × 4.5)

= ⅓ (127.2345)

= 42.41 in³

4) Grace's cone

Radius = 6 inches

Height = 4.5 inches

Volume = ⅓ (πr²h)

= ⅓ (π × 6² × 4.5)

= ⅓ (508.938)

= 169.65 in³

Hope this Helps!!!

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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Answer:

35

Step-by-step explanation:

Well if m<YVW = (12x-1) and x=3 then just plug in x

So,

m<YVW = (12(3)-1)

m<YVW = 36-1

m<YVW = 35

Answer:

I think it's B (or A?)

Step-by-step explanation:

For alternate interior, they are alternate interior angles

Then for 2, they are equal and congruent, but they are SUBSTITITUING the angle numbers to the equation.

pls brainliest if I'm right :D

Answer:

a. y=x^2

Step-by-step explanation:

desmos graphing calculator

Answer:

12/9 = 4/3

Step-by-step explanation:

write it as a fraction, then simplify by dividing numerator and denominator by 3.

Answer:

4/3 or 1.3

Step-by-step explanation:

12 divided by 9

Find AB , AC , DE and DF. If the ratios DE/AB and DF/AC are equal , then the triangles are similar

Given data ,

Let the first triangle be ΔABC

Let the second triangle be ΔDEF

Now , the corresponding sides are

DE/AB and DF/AC

Now , corresponding sides of similar triangles are in the same ratio.

On simplifying , we get

DE/AB = DF/AC

Hence , the triangles are similar

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Answer:

-1

Step-by-step explanation:

slope = y2-y1/x2-x1

(5,5) (7,3)

slope = 5-3/5-7 = 2/-2 = -1

Answer:

\(y = \frac{4}{3}x + 15\)

Step-by-step explanation:

•First we must find out how many inches of snow melted so we can find the slope.

15 inches - 12 inches = 3 inches

•The snow melts 3 inches every 4 hours. This statement can be rewritten as:

\(\frac{4}{3}\)

•We know that the snow started at 15 inches so that will be our y-int.

•Now we can start combining these terms to create an equation.

\(m = \frac{4}{3}\)

\(b = 15\)

•All we have to do is substitute these terms for the corresponding variables.

\(y = mx +b\) →  \(y = \frac{4}{3}x + 15\)

\(y = \frac{4}{3}x + 15\)

B.The weather pattern in City 2 is more consistent than the weather pattern in City 1

explanation:

Range and interquartile range (IQR) measures the spread of data. Range measure the overall spread and IQR measures spread in 50% of data.

Range is calculated by differencevof maximum and minimum value whereas IQR is calculated by difference of First quartile and third quartile.

Since, the range and IQR is less for City 2 as compared to City 1.

Thus ,weather pattern of City 2 is more consistent as compared to City 1.

Answer: b

Step-by-step explanation: I did it on my paper and it kind of took a long time

Answer:

x>2 here u go kenma :)

Step-by-step explanation:

100x-200>40x-80

60x-200>-80

60x>120

x>2

Answer:

see below

Step-by-step explanation:

f(x)=72-12x

Domain:

Is the possible values that x can take

This is a line and x can take all values

(-∞,∞) or all real numbers

Range:

Is the possible values the output can take

This is a line and y can take all values

(-∞,∞) or all real numbers

Answer: The domain is 6, and range is 72 I believe.

Step-by-step explanation:

I really hope it helps :0

OK! SO, I'm not accurately sure, But I typed your problems into any online (Problem Solver) and got (3,2) for the first one and (4,4) for the second equation.

I'm sorry if this answer isn't right.

Step-by-step explanation:

Just type them into any online problem solver.

Answer:

Accurate AND Precise

The maximum number of electrons in an atom with the given set of quantum numbers is determined by the Pauli exclusion principle and the principle of maximum multiplicity.

The quantum numbers provided are n = 4 (principal quantum number), l = 3 (azimuthal quantum number), ml = -2 (magnetic quantum number), and ms = 1/2 (spin quantum number).

For a given value of l, there are (2l + 1) possible values of ml. In this case, with l = 3, there are 2l + 1 = 7 possible values of ml (-3, -2, -1, 0, 1, 2, 3).

According to the Pauli exclusion principle, no two electrons in an atom can have the same set of four quantum numbers. This means that each electron must have a unique combination of n, l, ml, and ms.

Since ms = 1/2, there are two possible spin orientations for each value of ml. Therefore, for the given set of quantum numbers, there can be a maximum of 2 electrons for each value of ml.

Hence, the maximum number of electrons in an atom with the given set of quantum numbers is 2 * (2l + 1) = 2 * 7 = 14.

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The value of x in the given ΔCSU is 17.7.

Given data :

m∠CSU = 10x + 3

m∠CUS = 30x - 13 x

The three angles form the triangle ΔCSU then the addition of them makes 180°.

ΔCSU = 180

m∠CSU = 10x + 3

10x + 3  = 180

10x  = 180 - 3

x = 177 / 10 = 17.7

So,

m∠CSU = 10x + 3

Applying the value of x

= 10 x 17.7 + 3

= 180

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The change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

To quantify the change in the area of the surface of a cube when its side length triples from s units to 3s units, we can set up an integral.

Let's denote the side length of the cube as "x". The initial side length is "s" and the final side length is "3s". We want to find the change in surface area, which is the difference between the final surface area and the initial surface area.

The surface area of a cube with side length "x" is given by 6x², as each face of the cube has an area of x² and there are 6 faces.

The change in surface area can be calculated as:

ΔA = ∫(6x²) dx,

where the integral is taken from the initial side length "s" to the final side length "3s".

Now let's evaluate the integral:

∫(6x²) dx = 2x³ + C,

where C is the constant of integration.

To find the change in surface area, we substitute the limits of integration:

ΔA = [2x³]s to 3s

= 2(3s)³ - 2s³

= 2(27)s³ - 2s³

= 52s³

Therefore, the change in the area of the surface of the cube when its side length triples from s units to 3s units is 52s³.

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Answer:

then 18 hours

Step-by-step explanation:

Answer:

1.7 m/s

Step-by-step explanation:

1/3 mile = 536 m

1/12 hour = 5 minutes = 300 second

volecity = s/t = 536 / 300 = 1.7 m/s

9514 1404 393

Answer:

  4 miles per hour

Step-by-step explanation:

Speed is the ratio of distance to time:

  speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4

Mr. M's walking speed is 4 miles per hour.

Answer:

b = -2

Step-by-step explanation:

1) Cross multiply the proportion, in turn, you receive 2(b-4) = 6b.

2) Simply said equation, you should have 2b - 8 = 6b.

3) Subtract the 2b from each side, effectively canceling it out on the left (original position) and resulting in 6b to become 4b (6b - 2b = 4b).

4) After you have -8 = 4b, you can divide both sides by 4, canceling out on the right (original position).

5) You are finally left with -2 = b, reversing this results in b = -2.

-2 is your answer.

Answer:

428

Step-by-step explanation:

209+5=214

214x2= 428

I think this is the correct answer, if it's not I'm sorry :3

The candy distributor needs to use 70 kilograms of the 30% fat-content chocolate and (100 - 70) = 30 kilograms of the 60% fat-content chocolate to create 100 kilograms of a 39% fat-content chocolate.

Let's assume the candy distributor needs to use x kilograms of the 30% fat-content chocolate and (100 - x) kilograms of the 60% fat-content chocolate.

To calculate the fat content in the final mixture, we can set up the following equation based on the fat content:

0.30x + 0.60(100 - x) = 0.39(100)

Simplifying the equation:

0.30x + 60 - 0.60x = 39

Combining like terms:

-0.30x + 60 = 39

Subtracting 60 from both sides:

-0.30x = -21

Dividing both sides by -0.30:

x = -21 / -0.30

x = 70

Therefore, the candy distributor needs to use 70 kilograms of the 30% fat-content chocolate and (100 - 70) = 30 kilograms of the 60% fat-content chocolate to create 100 kilograms of a 39% fat-content chocolate.

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After 11 minutes, the angle between the hour's hand and the minute hand is 180°.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

A 12 hours roundabout simple clock shows 6 o'clock, with the hour hand pointing at 6, and the moment hand pointing at 12.

The angle between the hour hand and minute hand is 180°. Then the number of minutes is given as,

In each hour, the hour hand rotates 30°. Then in 8 hours, the hour hand rotation is calculated as,

⇒ 30° x 8

⇒ 240°

After 11 minutes the position of the hour hand is given as,

⇒ 240° + (11 / 60) x 30°

⇒ 240° + 5.5°

⇒ 245.5°

The rotation of the minute hand is given as,

⇒ (360° / 60) x 11

⇒ 66°

Then angle between the hour and the minute hand is calculated as,

Angle = 245.5° - 66°

Angle = 179.5°

Angle ≈ 180°

The number of minutes past 7 o'clock will be 11 minutes.

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Answer:

16 is the median

Step-by-step explanation:

By definition, the median is the mid value or the middle number of a given data set

Firstly, we have to arrange the numbers in ascending or descending order

What we have as the count of the numbers here is 9

So the middle number is the 5th term counting from either sides

As we can see, the fifth term here is the number 16

Answer: sin x = 2/6

x = 0.33

x = 19.5 degrees

Step-by-step explanation:

So if an equation was f(x)=x+4

you would automatically change f(x) into y

so it would y-y=x(x-x)

so you plug in the x and 4 which is the first y and x

y-4=x(x-x)

you switch the numbers around

so your final answer would be x-4

Step-by-step explanation:

-9x+15=3(2-x)

6-6x

2. collect like terms

-9x+15= 6-6x

15-6 = 6x+9x

11= 15x

3. divide both sides by the coefficient of X which is 15

x= 11/15

---

(2 divided by 90 us 45 and 45 x 100 is 450)

Answer:

30

Step-by-step explanation:

The side that is opposite to ∠Z is side YX. Therefore the length of the opposite side would be the length of YX which is 30 units.

Answer:

14w

Step-by-step explanation:

Width = w

Length is 6 time its width. so, multiply w by 6

length = 6*w = 6w

Perimeter of rectangle = 2* (length + width)

                                        = 2*(6w + w)

                                        = 2*7w

                                         = 14w