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4 years ago

Write D +5+ D +5+ D +5+ D +5 as an equivalent expression by grouping like terms

Mathematics

1 answer:

Hitman42 [59]4 years ago

8 0

Answer:4D+20

Step-by-step explanation:

Simplified by grouping the D’s and and 5’s

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The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.

Akimi4 [234]

Answer:

Error in the sphere's surface: 29 $cm^2$ and relative error in surface measure: 0.011

Error in the sphere's volume: 205 $cm^3$ and relative error in the volume measure: 0.017

Step-by-step explanation:

(a)

The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

$l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm$

and with regards to the error:

$dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm$

then when we use the formula for the sphere's surface, we get:

$S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2$

Then the relative error in the surface is:

$\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011$

(b)

Use the formula for the volume of the sphere:

$V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3$

Then the relative error in the volume is:

$\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017$

3 0

3 years ago

Round 573.073 to the greatest place

adoni [48]

Answer:

574

Step-by-step explanation:

To round a two-digit number to the nearest ten, simply increase it or decrease it to the nearest number that ends in 0: When a number ends in 1, 2, 3, or 4, bring it down; in other words, keep the tens digit the same and turn the ones digit into a 0

Hope this helps <3

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3 years ago

Which shows the pre-image od quadrilateral w'x'y'z' before the figure was rotated according to the rule (x,y) -> (-x,-y)?

JulsSmile [24]

Answer:

The pre-image of the quadrilateral is attached.

Step-by-step explanation:

Each point (x, y) is rotated with the rule (x, y) -> (-x, -y).

So, point W'(2, 3) was W(-2, -3) before rotation.

X'(6, 3) was X(-6, -3)

Y'(6, 4) was Y(-6, -4).

Z'(3, 5) was Z(-3, -5).

The pre-image of the quadrilateral is attached.

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4 years ago

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What is 25 divided by its square root? Brainliest for best answer.

uysha [10]

Answer:

Step-by-step explanation:

Because the square root of 25 is 5 so then do 25 divided by 5 to get 5 as your awnser.

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3 years ago

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PLEASE HELP ME! ASAP!! I’m begging you!!

ANTONII [103]

Answer:

pg ==15

Step-by-step explanation:

pg=15

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3 years ago