A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b

Answers

Answer 1

Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³


Related Questions

Find the size of the final unknown exterior angle in a polygon whose
other exterior angles are:
57° 68° 32°, 59° and 72º.​

Answers

Answer:

72

Step-by-step explanation:

The sum of exterior angles is 360

360-57-68-32-59-72 =. 72

the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle


Answers

Answer:

b => base  => 40 cm

h => altitude => 30 cm

A = h*b/2

h=b-10

600=(b-10)b/2

600 = (b^2-10b)/2

1200=b^2-10b

b^2-10b-1200=0

(b-40)(b+30)=0

b=40 cm

h=b-10 = 40-10=30

Mr Hassan gave his Y7 class a test on Friday. Can anyone answer C correctly?

Answers

Answer:

you are assuming that everyone in the class took the test. 33 people took the test but there could be more in the class but they were just not there for the test.

please help...................

Answers

Answer:

A, C, D, E

Step-by-step explanation:

sqrt(1.8)=1.34<1.8 (true)

sqrt(1.8)=1.34>1 (false)

sqrt(1.8)=1.34, sqrt(1.9)=1.38, 1.34<1.38 (true)

1.3<sqrt(1.8)=1.34<1.4 (true)

sqrt(1.9)+sqrt(1.8)=2.7>2 (true)

sqrt(1.9)-sqrt(1.8)=0.04>0.1 (false)

Answer:

a c d e

Step-by-step explanation:

don't come for me if it's wrong

I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

Answers

Answer:

1 correct

Step-by-step explanation:

switch 2nd and 3rd

2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit

3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes

Does this equation y=87.2/x represent a direct or inverse variation?

Answers

Answer:

Inverse relationship

Step-by-step explanation:

The equation we are looking at is;

y = 87.2/x

which implies xy = 87.2

If it was a direct relationship

y = constant * x

if it was inverse, it would have been

y * x = constant

since 87.2 is a constant, the question looks exactly like the second scenario.

This means that what we have is an inverse relationship

c) A triangle has one pair of equal sides and one pair of equal angles
What is it called?​

Answers

Answer:

The answer is Isosceles Triangle.

Points (-1,2), (-4,7), (-3,1), (-2,4) lie in ______ quadrant

Answers

Answer:

2 quadrant

Step-by-step explanation:

i think

Answer:

Quadrant 2...

-5(x-1) = 40

whats the answer

Answers

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

Divide each side by -5

-5(x-1)/-5 = 40/-5

x-1 = -8

Add 1 to each side

x-1+1 = -8+1

x = -7

Answer:

x = -7

Step-by-step explanation:

-5(x-1) = 40

-5x + 5 = 40

5x - 5 = - 40

5x = 5 - 40

5x = - 35

x = -35/5

x = -7

There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?

Answers

Answer:

210.

Step-by-step explanation:

The first 4 primes are 2,3,5 and 7.

If we multiply them we get 2*3*5*7 = 210.

So 210 + 1 = 211 is one integer which gives 1 as a remainder.

The next one would be  2*210 + 1 = 421.

The difference is 210.

compare: 3 5/7 to 3 6/10 which one is greater

Answers

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3  5/7   and  3  6/10

Rewriting these inputs as fractions:  3 5/7                3 6/10

                                                            26/7                 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD:      3 5/7             3 6/10

                                                                                    260/70     252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7   3 6/10

260/70 > 252/70

Comparison shows:  3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

At which root does the graph of f(x) = (x – 5)3(x + 2)2 touch the x-axis?
-5
-2
Ο Ο Ο Ο
2
5

Answers

Answer:

At x = -2 the graph of this polynomial will touch the x-axis.

Step-by-step explanation:

Recall the behavior difference between power functions of even and odd power. Odd powers are associated with the crossing of the x-axis, while even powers are associated with "touching" of the x axis.

in this cases, since they give you the function in factor form, the actual roots (x-values where the function adopts value zero) of the function are evident :

[tex]f(x)=(x-5)^3\, (x+2)^2[/tex]

It has a root at x = 5 [notice that at such x-value the factor (x-5) becomes zero], and this root is of multiplicity "3" (given by the power associated with the binomial factor for this root)

and has another root at x = -2  [notice that at such x-value the factor (x+2) becomes zero], and this root is of multiplicity "2" (given by the power associated with the binomial factor for it)

It is just the second root analyzed the one that shows an even power (2) associated to its binomial factor, and therefore it is at x= -2 that the graph of this function will show as "touching" the x axis.

somebody help me please i will mark you the brainliest

Answers

I’m 100% sure it’s the 3rd one :)

Answer:

I guess it's the 3rd one as well

James is following this recipe to make flapjacks.
James uses 450 g of sugar.
How many flapjacks is James making?

Recipe: Makes 8 flapjacks
125 ml syrup
90 g sugar
180 g oats
125 g margarine
30 g sultanas

Answers

Answer:

40

Step-by-step explanation:

90/8=11.25 (1 flapjack)

11.25x40=450

Write the explicit formula for the following sequence.

3, 30, 300, 3000​

Answers

Answer:

common ratio(r) = 10

place of the term = n

a = 3

now

sequence of 1 term = ar^(n-1)

= 3×10^(1-1)

= 3× 10^0

= 3×1

= 3

sequence of 2 term = ar^(n-1)

= 3×10¹

= 30

and so on

The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices

Answers

Answer:

4.33333333

you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

1/5 = 0.2

Step-by-step explanation:

(0,3) and (5,4)

average rate of change is slope

formula for slope =  [tex]\frac{y2-y1}{x2-x1}[/tex]

so [tex]\frac{4-3}{5-0} = \frac{1}{5}[/tex]

2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:​

Answers

Answer:

Common difference=5.

Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)

Answers

[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.

Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.

What type of figure is quadrilateral FXYH?

Answers

Answer:

Isosceles trapezoid

Step-by-step explanation:

The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.

Answer:

trapezoid

Step-by-step explanation:

100 points! Whoever can finish this is a god! you have a time limit. 10 min.

Answers

Question 5 Is answer D) 20
Question 8 is skewed left
Question 7 is C
Question 11 is C
Question 12 i’m pretty sure is Quartile *i haven’t done this in a while*
Question 4 is the first Histogram.

Answer:

See explanation

Step-by-step explanation:

Question 11:

The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.

Question 12:

Mean absolute deviation

Question 5:

36-16=20

Question 7:

Since the IQR is 6 and 1.5*6=9, both extremes are outliers.

Question 8:

Skewed left

Question 4:

First histogram

Hope this helps!

If you can, please help on this Algebra Question. Use the drop-down menus to complete the statements.

Answers

I need to see the table too plz

PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.

Answers

Answer:

A fourth degree polynomial:

[tex]2x^{4} + 10x^{3} + 21[/tex]

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example

(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18

This demonstrates closure because 11x^2 + 18 is also a polynomial

Step-by-step explanation:

Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form

Part B: Closure property has been proved in the addition of polynomials

What is Polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Part A

Example of fourth degree polynomial with three terms is

[tex]x^{4}+2x+20[/tex]

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on

Hence, it is a standard form

Part B

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial

Example

(2x+6)+(5x+2)= 7x+8

Hence, the Closure property has been proved in the addition of polynomial

Learn more about Polynomial here

https://brainly.com/question/11536910

#SPJ2

Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?

Answers

Answer:

he reeled in 16 times

Step-by-step explanation:

time she reeled in 10 feet of line, the fish would take out 5 feet. How many times she have to reel in to get the fish to the boat? See answers (1) ... Or, you can just switch to normal browsing

What is the answer to this question 5 x 2/5 =?

Answers

Answer:

2

Step-by-step explanation:

5 * 2/5

Rewriting

5/1 * 2/5

5/5 *2/1

1*2

2

Answer:

The answer is 2

Step-by-step explanation:

A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain

Answers

Answer:

4

Step-by-step explanation:

The 25ft by 20ft court needs to be covered.

First consider half of the court, meaning 25ft by 10ft.

To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft

There is a 1ft overlap, but that seems reasonably acceptable.

If you do the same for the other half, then you will have covered the entire court from the rain.

So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court

Data;

dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ft

Area of a Rectangle

Assuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover

[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]

This would give us a value approximately 2.

This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.

Learn more on area of a rectangle here;

https://brainly.com/question/25292087

The perimeter of the given triangle is

Answers

Answer:

~73.68

Step-by-step explanation:

In the right triangle with one angle = 45 deg

=> Isosceles right triangle

=> a = b = hypotenuse/sqrt(2) = (12sqrt(2))/sqrt(2) = 12

In other right triangle with 3 sides are a, c, and d, we have:

sin (30 deg) = a/d

=> d = a/sin(30 deg) = 12/(1/2) = 12 x 2 = 24

Othwise, cosine (30 deg) = c/d

=> c = d x cos(30 deg) = 24 x sqrt(3)/2 = 12sqrt(3)

=> The perimeter of the biggest triangle is calculated by:

P = 12sqrt(2) + b + c + d = 12sqrt(2) + 12 + 12sqrt(3) + 24 = ~73.68

Hope this helps!

what's the justification for 2x + 0 = 22

Answers

Answer:

Additive inverse property

Step-by-step explanation:

what is 1.8 increased by 10 to make a new mean

Answers

Answer:

18

Step-by-step explanation:

1.8*10= 18/10*10=180/10=18

Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
0 = 4x
8 = 4x
4 = -4x
16 = -4x

Answers

Answer:

8 = 4x OR 0 = 4x

Step-by-step explanation:

I not %100 sure or it could be 0 = 4x

EITHERONE

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