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3 years ago

the sum of 3 consecutive integers is 42.let x be the middle of the three integers. transcribe the statement accordingly

Mathematics

1 answer:

patriot [66]3 years ago

5 0

(x-1) + x + (x+1) = 42

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a sculpture is formed from a cylinder resting on top of a cuboid. the cylinder has a radius 40cm and height 70cm. the cuboid mea

frosja888 [35]

Answer-

$\boxed{\boxed{\text{Mass}=10.0447256\ ton}}$

Solution-

The dimensions of the cuboid is, 80×80×140 cm

So, its volume will be $=80\times80\times140=896000$ cm³

The dimensions of the cylinder is, radius = 40cm, height = 70cm

So, its volume will be $\pi r^2h=\pi\times40^2\times70=351792$ cm³

Total volume,

$V=V_{\text{Cylinder}}+V_{\text{Cuboid}}\\\\=351792+896000\\\\=1247792\ cm^3$

As we know,

$\Rightarrow \text{Density}=\dfrac{\text{Mass}}{\text{Volume}}$

$\Rightarrow \text{Mass}=\text{Density}\times \text{Volume}$

$\Rightarrow \text{Mass}=8.05\times 1247792=10044725.6\ g$

$\Rightarrow \text{Mass}=10044725.6\times 10^{-6}=10.0447256\ ton$

8 0

3 years ago

Please use statemnet reasoning!

dlinn [17]

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

5 0

2 years ago

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How to find the inverse of a function

Studentka2010 [4]

Switch the x and the y and solve for y
eg inverse of 2y= 3x+1
swith x and y
2x=3y+1
now solve for y
y =(2x-1)/3

5 0

3 years ago

What is this!!!!!!!!!!!!! Help !!!!!!

bezimeni [28]

Answer:

A. y=3x+6

Step-by-step explanation:

1. x=y/3 -2

2.x+2= y/3

3. 3(x+2)=y

Final Answer: y=3x+6

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3 years ago

What is the factored form of x^2 - 196 ?

Luba_88 [7]

D. (x-14)(x+14)
a negative and a positive multiplied makes a negative outcome so -14•+14=-196. x•x is = to x^2

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3 years ago

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