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2 years ago

A 12-kg bag of mangoes costs $9.00

Mathematics

1 answer:

Nookie1986 [14]2 years ago

6 0

Answer:

I think it would be around $1.33 for each kg

Step-by-step explanation:

You would divide 12 by 9. Once you do that, you get 1.33

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Simplify completely 12 times x to the third power minus 4 times x to the 2nd power plus 8 times x all over negative 2 times x.

Alenkinab [10]

The answer is: -6x^2+2x-4

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2 years ago

Fine length of BC on the following photo.

MrMuchimi

Answer:

$BC=4\sqrt{5}\ units$

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

In the right triangle ACD

Find the length side AC

Applying the Pythagorean Theorem

$AC^2=AD^2+DC^2$

substitute the given values

$AC^2=16^2+8^2$

$AC^2=320$

$AC=\sqrt{320}\ units$

simplify

$AC=8\sqrt{5}\ units$

step 2

In the right triangle ACD

Find the cosine of angle CAD

$cos(\angle CAD)=\frac{AD}{AC}$

substitute the given values

$cos(\angle CAD)=\frac{16}{8\sqrt{5}}$

$cos(\angle CAD)=\frac{2}{\sqrt{5}}$ ----> equation A

step 3

In the right triangle ABC

Find the cosine of angle BAC

$cos(\angle BAC)=\frac{AC}{AB}$

substitute the given values

$cos(\angle BAC)=\frac{8\sqrt{5}}{16+x}$ ----> equation B

step 4

Find the value of x

In this problem

$\angle CAD=\angle BAC$ ----> is the same angle

equate equation A and equation B

$\frac{8\sqrt{5}}{16+x}=\frac{2}{\sqrt{5}}$

solve for x

Multiply in cross

$(8\sqrt{5})(\sqrt{5})=(16+x)(2)\\\\40=32+2x\\\\2x=40-32\\\\2x=8\\\\x=4\ units$

$DB=4\ units$

step 5

Find the length of BC

In the right triangle BCD

Applying the Pythagorean Theorem

$BC^2=DC^2+DB^2$

substitute the given values

$BC^2=8^2+4^2$

$BC^2=80$

$BC=\sqrt{80}\ units$

simplify

$BC=4\sqrt{5}\ units$

7 0

2 years ago

Round off 7284 to 1sf

AVprozaik [17]

Answer:

7000

Step-by-step explanation:

This is because when you round to the significant figure, you basically look at any digits at the start of the number, which isn't zero. In this case, it would be in the thousands place 7284. So you round 7284 to the nearest thousands, which, would be 7000

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2 years ago

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What is the vertex of g(x) = -3/? + 2<br> (3, -25)<br> (-3,-25)<br> (3,29)<br> (-3, 29)

Orlov [11]

Answer:

（3，-25）

Step-by-step explanation:

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2 years ago

How would you represent a rotation of 360 algebraically?

GenaCL600 [577]

Answer:It means turning around until you point in the same direction again. Other ways of saying it: "Doing a 360" means spinning around completely once (spinning around twice is a "720").

...

A full rotation is 360 degrees.

Step-by-step explanation:

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2 years ago

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