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2 years ago

in the diagram, PQRS is a parallelogram. QRT is a straight line. Based on the diagram, state the values of x,y and z.

Mathematics

1 answer:

ikadub [295]2 years ago

4 0

Answer:

Step-by-step explanation:

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How do i find the volume of these similar solids? round to the nearest tenth HELP

FromTheMoon [43]

Answer:

The volume of the larger solid is $592.6\ mm^3$

Step-by-step explanation:

<u><em>The question is</em></u>

If these solids are similar, find the volume of the larger solid

step 1

Find the scale factor

we know that

If two solids are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

Let

x ----> the height of the larger solid in mm

y ----> the height of the smaller solid in mm

z ---> the scale factor

$z=\frac{x}{y}$

we have

$x=4\ mm\\y=3\ mm$

substitute

$z=\frac{4}{3}$ ---> scale factor

step 2

Find the volume of the larger solid

we know that

If two solids are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

x ----> the volume of the larger solid in cubic millimeters

y ----> the volume of the smaller solid in in cubic millimeters

z ---> the scale factor

$z^3=\frac{x}{y}$

we have

$z=\frac{4}{3}$

$y=250\ mm^3$

substitute the values

$(\frac{4}{3})^3=\frac{x}{250}$

solve for x

$(\frac{64}{27})=\frac{x}{250}$

$x=250(\frac{64}{27})$

$x=592.6\ mm^3$

4 0

3 years ago

Ya'll help me w/slope, please

uranmaximum [27]

I got ECHA... hope it's right:)

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2 years ago

What is the lowest common multiple of 120 160 180

Anna11 [10]

20 it the least common multiple of the numbers given

4 0

3 years ago

Fiona kept track of how many text messages she sent each day one week, the numbers were 21,57,32,25,33,42 and 46 on average how

Likurg_2 [28]

Answer:

256 just add them all up and u get the answer

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3 years ago

Lebron wants to put a fence around a community garden plot. The plot is a rectangular shape with a length twice as long as its w

tatyana61 [14]

Answer:

60 feet of fencing

Step-by-step explanation:

Let x feet be the width of the garden plot, then 2x feet is the length of the garden plot.

The area of the garden plot is

$A=x\cdot 2x\\ \\200=2x^2\\ \\100=x^2\\ \\x=10\ feet\\ \\2x=20\ feet$

Find the perimeter of the rectangular garden plot:

$P=x+2x+x+2x\\ \\=10+20+10+20\\ \\=60\ feet$

5 0

2 years ago

Read 2 more answers