Suppose an ice cream cone is 10 cm deep with a diameter of 4cm. How much ice cream can fit into the cone without it overflowing?

Answer:

I) √29

ii) 3√5

iii) 5√5

iv) √41

v) √5

vi) 6√2

Step-by-step explanation:

1)

Given complex numbers    -1+i and -3-4i

The points are ( -1 , 1) and (-3 , -4 )

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

= [tex]\sqrt{(-4-(1) )^{2} +(-3 -(-1) )^2 } = \sqrt{25+4} =\sqrt{29}[/tex]

2)

Given complex numbers    1+i and 7-2i

The points are ( -3,4) and (-6,-1)

Distance formula

[tex]\sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1} )^2 }[/tex]

[tex]\sqrt{(-2-1 )^{2} +(7-1)^2 } = \sqrt{9+36} =\sqrt{45}= 3\sqrt{5}[/tex]

3)

Given complex numbers   -3 +4i and -6-i

The points are ( -3 ,4 ) and (-6 ,-1)

[tex]\sqrt{(-1-4 )^{2} +(-6-4)^2 } = \sqrt{25+100} =\sqrt{125}= 5\sqrt{5}[/tex]

4)

Given complex numbers are -2+3i and 2-2i

The points are ( -2 ,3) and (2 , -2)

[tex]\sqrt{(-2-3 )^{2} +(2+4)^2 } = \sqrt{25+36} =\sqrt{41}[/tex]



5)

Given complex numbers are 3 and 5+i

The points are( 3,0) and (5,1)

[tex]\sqrt{(1-0 )^{2} +(5-3)^2 } = \sqrt{1+4} =\sqrt{5}[/tex]



6)

Given complex numbers are -4+5i and 2-i

The points are ( -4 ,5) and ( 2,-1)

[tex]\sqrt{(-1-5 )^{2} +(2-(-4))^2 } = \sqrt{36+36} =\sqrt{72}= 6\sqrt{2}[/tex]



Answer:-2

Step-by-step explanation: I think

Answer: -2

Step by step explaination:

answer is 15$

250×6:100= 15

Answer:

the answer is 15 dollars

Answer:

Graph D is the correct answer

Step-by-step explanation:

The graph of is attached.

The y-axis of the graph represents the cost, and the x-axis represents the number of minutes.

Also, the slope of is 2, and the y-intercept is 2.

Now let us look at the choices given and determine which graph represents the function .

The first graph has the slope of 2, and a y-intercept of 2, but the y-axis represents minutes, and the x-axis represents cost—this does not match our graph.

The second graph has y-intercept of 3—also not our graph.

The third graph also has a y-intercept of 3—this does match our graph either.

The fourth graph has a y-intercept of 2 and a slope of 2, and its y-axis represents the cost and x-axis represents the minutes—this perfectly matches our graph.

Therefore, the graph that matches our graph is D.

Answer:

the answer is C

Step-by-step explanation:

[tex]5.7\% = \frac{5.7}{100} = 0.057[/tex]

Answer:

with what lol

Step-by-step explanation:

Answer:

Theres no question

Step-by-step explanation:

Answer:

A, 2 5/8 cups

Step-by-step explanation:

Since six dozen brownies is three times as much as two dozen, we can multiply 7/8 cups by 3. 3 x 7/8 = 21/8 If we simplify this fraction, it is 2 5/8. Therefore the answer is A, 2 5/8 cups.

Answer: 8.5lbs 7 oz

Step-by-step explanation:

8oz=.5lbs

15lbs 7oz-6.5lbs=

8.5lbs 7 oz

Answer:

a(m - 3)=5m - 17

Step-by-step explanation:

Hope this helps

Answer:

3 Hours

Step-by-step explanation:

If we subtract 30 dollars from the initial 42, we are left with 12 dollars. Then all we have to do is do 12/4 to get 3 hours of work :D

Answer:

I can assure you, that this is not that hard. but. I will help you with one of them.

Step-by-step explanation:

audience-look it up in the dictionary

it's basically a crowd of people.

sebtence- I listened to the audio of the audio book.

Answer:

1.  y=3x-4

2. y=-3x+4

3. y= -1/3x+4

4. y= 1/3x-4

Step-by-step explanation:

1. slope= change in y/ change in x

  slope= -1-(-4)/1-0=3

  y=3x+b

 -4=3(0)+b

   b=-4

y=3x-4

2. slope=4-10/0-(-2)= -3

y=-3x+b

b=4

y=-3x+4

3. slope= -1/3

y=-1/3x+b

3= -1/3(3)+b

3= -1+b

b=4

y= -1/3x+4

4. y= 1/3x-4 (last one)

Answer:

12y - x - 28 = 0

Step-by-step explanation:

............

Answer:

D. 1.33

Step-by-step explanation:

[tex] \because \: x = tan (\theta) \\ \\ tan (\theta) = \frac{4}{3} \\ \\ tan (\theta) = 1.33 \\ \\ \implies \: x = 1.33[/tex]

Answer:

P= Carson City

Q= 12 inches long

Answer:

27 of the students are girls

Answer:

18

Step-by-step explanation:

30*0.4=12

This means 40% of 30 is 12 and Ana has completed 12 problems.

30-12 = 18, so she still needs to do 18 problems.

Answer:

[tex]\frac{2}{25}[/tex]

Step-by-step explanation:

All percents can be written as a fraction with their denominator as 100.

So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.

[tex]\frac{8}{100}[/tex] can be divided by 4 since that is the GCF ( Greatest common factor)

Now, the numerator would be 2 and the denominator would be 25 as shown below ...

[tex]\frac{2}{25}[/tex]

This is the simplest form of 8% as a fraction

Hope this Helps!!! :)

Let me know in the comments if the answer was perfect or if I should change anything!!!

The simplest form of the 8% as a fraction is 2 / 25.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %.

All percentages can be written as a fraction with their denominator as 100. First, write the fraction as 8/100 and start making it smaller and simplifying it.

Fraction = 8 /100

Fraction = ( 4 x 2) / ( 4 x 25)

Fraction  = 2 / 25

Thus, the 8% in the fraction is 2 / 25.

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

Answer: y<10

Step-by-step explanation:

2y<16+4

2y<20

y<10

Answer:

Step-by-step explanation:

Simplifying

16 = 2y + -4

Reorder the terms:

16 = -4 + 2y

Solving

16 = -4 + 2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-2y' to each side of the equation.

16 + -2y = -4 + 2y + -2y

Combine like terms: 2y + -2y = 0

16 + -2y = -4 + 0

16 + -2y = -4

Add '-16' to each side of the equation.

16 + -16 + -2y = -4 + -16

Combine like terms: 16 + -16 = 0

0 + -2y = -4 + -16

-2y = -4 + -16

Combine like terms: -4 + -16 = -20

-2y = -20

Divide each side by '-2'.

y = 10

Simplifying

y = 10

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Answer:

4# 4x2 + 6x - 6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

x^2+2x-5+3x^2+4x-1=4x^2+6x-6=4x^2+6x-6

Hope you'll find it helpfull

Answer:

The answer is 5/6.

Step-by-step explanation:

Answer: X+1

Step-by-step explanation:

Answer: 133,300

Step-by-step explanation:

Given that:

Number of kcals per serving = 430

Percentage of protein in the kcal = 31%

To obtain the number or amount of protein in one serving :

31% of 430

= 0.31 * 430

= 133.3 kcal

I kcal = 1000 gram calories

Hence,

133.3 kcal = (1000 * 133.3) = 133,300 gram calories

Answer:

y=1

-4x + y= -3

-3 + 12= 9

y= {4}x + {3}

Step-by-step explanation:

*there is always a inviable 1 in front of a virable by it's self.*

Answer:

600 acres

Step-by-step explanation:

Hope this helps!

The number of acres of land Mcgregor has 600 acres.

Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let the total number of acres be x.

So, 30% of x=180

⇒ 30/100 × x=180

⇒ 0.3x=180

⇒ x=180/0.3

⇒ x=600

Hence, the number of acres of land Mcgregor has 600 acres.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ2

Answer:

(-4 , 0)

Step-by-step explanation:

Graph attached