3 years ago

6 packages weighs of 2 lb 5 lb 7 lb 5 lb 9lb 8lb whats the average weight of the packages

Mathematics

1 answer:

stira [4]3 years ago

3 0

Add all the numbers to get 36 and divide by the amount of numbers to get your answer. 6.

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Point G is the centroid of the right △ABC with m∠C=90° and m∠B=30°. Find AG if CG=4 ft.

o-na [289]

Answer: $\text{Length of AG=}\frac{2\sqrt{63}}{3}$

Explanation:

Please follow the diagram in attachment.

As we know median from vertex C to hypotenuse is CM

$\therefore CM=\frac{1}{2}AB$

We are given length of CG=4

Median divide by centroid 2:1

CG:GM=2:1

Where, CG=4

$\therefore GM=2$ ft

Length of CM=4+2= 6 ft

$\therefore CM=\frac{1}{2}AB\Rightarrow AB=12$

In $\triangle ABC, \angle C=90^0$

Using trigonometry ratio identities

$AC=AB\sin 30^0\Rightarrow AC=6$ ft

$BC=AB\cos 30^0\Rightarrow BC=6\sqrt{3}$ ft

$CN=\frac{1}{2}BC\Rightarrow CN=3\sqrt{3}$ ft

In $\triangle CAN, \angle C=90^0$

Using pythagoreous theorem

$AN=\sqrt{6^2+(3\sqrt{3})^2\Rightarrow \sqrt{63}$

Length of AG=2/3 AN

$\text{Length of AG=}\frac{2\sqrt{63}}{3}$ ft

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2 years ago

If 4.5 pounds of chocolate cost $10, how

allsm [11]

I think 5.4

4.5÷10= 0.45

0.45x12=5.4

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2 years ago

When a number is raised to the 6th power, it equals 90. What is this number, and write it using the root symbol ...?

balandron [24]

6√90 = 2.11693286302546
So, this number to the power of six equals 90.
2.11693286302546^6 = 90

The correct answer is 2.11693286302546.

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2 years ago

Chocolate chunk cookies are 59 cents each or $6.00 a dozen. How much are do you save by buying the cookies by the dozen?

kifflom [539]

Answer:

Step-by-step explanation:

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Jules owns a square plot of land that measures 30 yards on each side. He plans to divide the land in half by building a fence, a

Alona [7]

The answer is 150yds if you are adding the perimeter of the square and the dividing fence.

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3 years ago

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