The volume of a paper cone of radius 2.4cm is 95.4 cm3.

The paper is cut along the slant height from O to AB.

The cone is opened to form a sector OAB of a circle with centre O.

Calculate the sector angle x°.

[The volume, V, of a cone with radius r and height h is V= 1/3 x π x r² x h.]

Using proportions, it is found that Jimmy should target the rectangular target, as he has hit a higher proportion of throws there.

A proportion is a fraction of a total amount.

In the rectangular target, he has hit it 3 out of 9 times, hence the proportion is:

pR = 3/9 = 0.3333.

In the circular target, he has hit it 2 out of 11 times, hence the proportion is:

pC = 2/11 = 0.1818.

Due to the higher proportion of hits, he should throw at the rectangular target.

More can be learned about proportions at https://brainly.com/question/24372153

Answer:

422.734 fluid ounces

Step-by-step explanation:

For the approximate result you have to multiply the volume value by 19.215

Answer:

Account [B] is worth the most after 10years. It will have a value of $[21589.656]

Answer:

14,11,8

Step-by-step explanation:

If f(1)= 17

and f(n)= f(n-1) -3

f(2)= f(2-1)-3

f(2)=f(1)-3

f(2)=17-3

f(2)=14

f(3)=f(3-1)-3

f(3)=f(2)-3

f(3)=14-3

f(3)=11

f4)=f(4-1)-3

f(4)=f(3)-3

f(4)=11-3

f(4)=8

Answer:

14, 11, 8

Step-by-step explanation:

Given recursive formula:

[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]

A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).

Therefore, the next 3 terms in the sequence are:

[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]

[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]

Answer:

x = 0.86

Step-by-step explanation:

(3x - 1)(x + 6) = 3.14159 × (x + 1)²

3x² + 17x - 6 = 3.14159 × (x² + 2x + 1)

-0.14159x² + 10.7168x - 9.14159 = 0

x² - 75.6875x + 64.5626 = 0

[tex] x = \dfrac{-(-75.6875) \pm \sqrt{(-75.6875)^2 - 4(1)(64.5626)}}{2(1)} [/tex]

x = 74.825  or  x = 0.8628

Answer: x = 0.86

It is:

x = 0.86

i took the test and got it right, but we go to the same school lol, I just go to the Arizona version.

Answer:

rhetorical stage, syncopated stage, symbolic stage

Step-by-step explanation:

Answer:

Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

Answer:

[tex]\Longrightarrow:\boxed{\sf{-32-20t}}[/tex]

Step-by-step explanation:

Use the distributive property to expand the expression.

Distributive property:

→ A(B+C)=AB+AC

Multiply.

→ -4*8=-32

⇒ -4*5t=-20t

Rewrite the problem down.

→ = -32-20t

I hope this helps you! Let me know if my answer is wrong or not.

Answer:-32-20t

Step-by-step explanation:

-4 times 8 is -32 and -4 times 5t is -20t

Hope this helps! :)

The answers to your questions are as follows :

Probability is a branch of mathematics that deals with the degree of occurrence of an event.

1) The situation with a probability closest or equal to 0 is rolling a number: (A) greater than 5.

Because: there is only one number greater than 5 in that list (which is 6)

2) The model which shows the probability of choosing a multiple of 4 is: ( B )  [tex]\frac{2}{10}[/tex] (2/10)

Because: there are only two multiples of 4 that can be picked from number 1-10

3) The only survey that would not be valid with a sample of seventh-grade classmates is :  Bank that offer the most services.

Because: they are not working and might have little or no idea about banking services.

4) The probability of choosing a red marble, then a white marble if the marbles are replaced is : 7/10.

where the probability of picking a red marble is =  [tex]\frac{3}{10}[/tex]

The probability of picking a white marble is = [tex]\frac{4}{10}[/tex]

since the marbles were replaced : [tex]\frac{3}{10}[/tex] + [tex]\frac{4}{10}[/tex] = [tex]\frac{7}{10}[/tex]

5) The probability of spinning the following. P(not 7) = 7/8

The probablity of picking a 7 is = [tex]\frac{1}{8}[/tex]

The probability of not is = 1 - probability of picking 7

1 - [tex]\frac{1}{8}[/tex] = [tex]\frac{7}{8}[/tex]

In conclusion, go the answers related to your questionare  provided above for each question.

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Answer:

m = 80

Step-by-step explanation:

40 = [tex]\frac{m}{2}[/tex] ( multiply both sides by 2 )

80 = m

Answer:

20 minutes, or 1/3 hour

Step-by-step explanation:

Donnie travels at 9 miles/hr.  

The relationship between speed, distance, and time is Time = Distance/Speed.  [from Distance = Speed*Time]

Time to bike 3 miles at 9 miles/hr is = (3 miles)/(9 miles/hr) = (1/3) hr

It took 1/3 hour, or 20 minutes, to bike the three miles, with no stops for soda and hot dog.

Answer:

-4

Step-by-step explanation:

This is according to my sense. please consider other answers as well

Answer:

1 and 6

5 and 7

Step-by-step explanation:

Supplementary angles are 180 degrees and so is a linear pair

1 and 6 add up to 180 degrees meaning they are supplementary. Angle 1 and angle 2 are a linear pair so 180-120=60 which is the degree of angle 1, angle 2 corresponds to angle 6, so angle 1 + angle 6 would equal 180 degrees. (120+60)

5 and 7 are a linear pair which automatically makes them supplementary

The others are vertical angles which don't add up to 180. (120+120=240)(60+60=120)

Answer:  

x = 4

Step-by-step explanation:

See attachment.

Answer:

50%

Step-by-step explanation:

You can literally do it mentally lol

 $500,000

- $250,000

 $250,000

so by common sense, it's 50%

Hope it helped!

Answer:

50%

Step-by-step explanation:

50% of the value of the house dropped.

So 50% of 500,000.

Answer:

y= -60x+ 200

Step-by-step explanation:

Given: Initial distance from Kingston = 200 miles

Distance from Kingston after 2 hours= 80 miles

Step 1:

The general model for linear equations is given as:

y= ax+ b

where

a= slope

b= y-intercept

Step 2:

The y-intercept represents the initial value: 200 miles from the Kingston

b= 200

Therefore,

y= ax+ 200

Step 3:

As the car gets closer to Kingston, the distance keeps decreasing.

The car having covered 80miles need to cover another 120 miles after 2 hours

Hence, the slope would be negative

Slope:

a= -120 miles/2 hours

a=-60

The model therefore is:

y= -60x+ 200

Final answer: Option (D)

The model is : y= -60x+ 200

Answer:

a rectangle is a parallelogram as the parallogram is made up of 2 triangles and a smaller rectangle. When the rectangle is divided into 2 triangles and another small rectangle, and is then being put together with the triangles on each side, it will be a parallelogram.

Step-by-step explanation:

Explanation:

A rectangle has the following properties:

A parallelogram has the following properties:

The similiarities between a rectangle and a parallelgram:

The difference between a rectangle and a parallelogram:

The main difference between a rectangle and a parallelogram is that a rectangle has four right angles while a parallelogram does not have four right angles.

Step-by-step explanation:

These are sides that will never meet and are always the same distance apart. Some shapes that have parallel sides include the parallelogram, the rectangle, the square, the trapezoid, the hexagon, and the octagon.

Answer:

 29/4 or 7.25

Step-by-step explanation:

Simply divide by 4 to isolate and solve for the x-term:

[tex]x=29/4[/tex] or 7.25

Answer:

Step-by-step explanation:

Compare the corresponding points, the best is vertices

Find the difference of coordinates, the rule of translation right and up

The formula of g(x) in therms of h(x) is:

Answer:

g(x) = h(x - 7) + 5

Step-by-step explanation:

Vertex of a parabola

The turning point (stationary point) of the curve.

To find the series of translations that transform the graph of y = h(x) onto y = g(x), compare the vertices of both graphs.

Vertex of h(x) = (-2, -7)

Vertex of g(x) = (5, -2)

Therefore, y = h(x) has been translated 7 units to the right and 5 units up.

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Therefore:

Therefore, the formula for g(x) in terms of h(x) is:

g(x) = h(x - 7) + 5

Learn more about transformations here:

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Answer:

The shaded region of A is 12.5% of the area of B.

Step-by-step explanation:

Although the side of square A is 50% of the side of square B, if you think about things logically here square A is only 25%of square B. Therefore the shaded area HAS to be half of 25% making the answer 12.5%

Answer:

12.5%

Step-by-step explanation:

Since it given that the length of the sie of a square A is 50% of the  length of the side of square B. As well as given us the question we need to find the answer to which is:

Express the area of the shaded region of square A as a percentage of the area of square B.

What we need:

Area of shaded region of Square A as a % of Area of Square B

Now we can solve but first :

Let "b" be the side length of Square B

Let "a" be the side length of Square A

As well as:

It given side length of Square A (a) = 50% (1/2) of side length of Square B (b), therefore we have,

a = ½b

Area of a square = s², where s is the  side length

Area of Square A = (½b)² = b²/4

Area of Square B = b²

Finding the area of the shaded region of the Square A = ½ of area of Square A.

Area of shaded region of Square A = ½*(b²/4) = b²/8

Expressing the area of the shaded portion of square A as a percentage of are of Square B:

Area of shaded portion of Square A ÷ Area of Square B × 100%

Solving:

⇒ [tex]\frac{\frac{b^2}{8}}{b^2}\times100[/tex]

⇒[tex]\frac{b^2}{8}\times\frac{1}{b^2}\times100[/tex]

⇒ [tex]\frac{b^2\times1}{8\timesb^2}\times100[/tex]

⇒ [tex]\frac{b^2}{8\times b^2}\times100[/tex]

⇒ [tex]\frac{1}{8}\times100=12.5[/tex]

Base on the solving above we can conclude that:

The area of the shaded region of Square A is 12.5% of the area of Square B.

~[DiscordUser]~

Answer:

35 problems

Step-by-step explanation:

We know that 10 problems are 2/7 of his total assignment, so we can set up the following equation,

[tex]\frac{10}{x\\} = \frac{2}{7}[/tex]

(side note: x is the denominator because we don't know how many problems it is out of yet)

We can cross multiply which gives us: (7x10) and 2(x)

70 = 2x (set them equal)

x = 35 (divide 70 by 2)

Hope this helps!

Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

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Step-by-step explanation:

3.000976×10⁹ would be how I will write in standard form

Answer:

the answer is 3.36000 approximated to the nearest thousandth

Answer:

18 x (27 + 36/3) = 378

(21 + 13/74 - 18 x3 ) x 10 = 17

sqrt. 281^2 - 160^2 = 231

2^10 - 2^9 = 512

sqrt. 8 x sqrt. 9 - 7 = 4

Step-by-step explanation:

sorry for being late to answer. these are correct on edge.

the sum of all interior angles in a polygon, regular or not is

now, this is an octagon, with 8 sides, so it has a total of interior angles of 180( 8 - 2) or 180(6) = 1080.

we know the sum of all BUT one is 776°, so the last one must be 1080° - 776° = 304°.

Answer:

4

Step-by-step explanation:

I got 4 when I answered on IXL for anyone who needs help on it!