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3 years ago

Simplify and determine the coefficient of (- x)(3y)(-2x).

Mathematics

1 answer:

Valentin [98]3 years ago

6 0

Answer:

6yx2

Step-by-step explanation:

brackets means multiply hence -x×3y×-2x

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A gas station stores its gasoline in a tank under the ground. The tank is a cylinder lying horizontally on its side. (In other w

hoa [83]

Answer:

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

Step-by-step explanation:

Volume of cylinder = V

Radius of cylinder = r = 0.5 m

Height of the cylinder = 5 m

Volume of cylinder = $\pi r^2h$

$V=3.14\times (0.5 m)^2\times 5 =3.925 m^3$

Mass of gasoline = m

Density of gasoline = d = $673 kg/m^3$

$m=d\times V=673 kg/m^3\times 3.925 m^3=2,641.525 kg$

Work done to pump the gasoline out of the tank W

Acceleration due to gravity = g $.8 m/s^2$

The center of gravity of fuel in fully filled tank will be centre so, the value of h = 2 m + 0.5 m = 2.5 m

$W =m\times g\times h$

$W=2,641.525 kg\times 9.8 m/s^2\times 2.5 m=64,717.36 J$

64,717.36 Joule is the total amount of work needed to pump the gasoline out of the tank.

6 0

3 years ago

Please answer!! 20 points ASAP

lidiya [134]

<u>Answer:</u>

The length of VI to the nearest tenth is 4 cm

Solution:

The plot is like a quadrilateral and the fences are built on the diagonal

We know that for quadrilateral both the diagonals are in same height,

So as per the picture, $\mathrm{GH}=\mathrm{Fl}$

Now we know that $\mathrm{GV}=6.55 cm; \mathrm{FV}=5.84 cm; \mathrm{VH}=3.27 cm$

Hence,

$GH = FI$

$\Rightarrow GV + VH = VI + VF$

$\Rightarrow 6.55 + 3.27 = VI + 5.84$

$\Rightarrow VI = 6.55 + 3.27 - 5.84$

$\Rightarrow VI = 3.98$

<u>Rounding off:</u>

If the number that we are rounding is followed by 5 to 9, then the number has to be increased to the next successive number.

If the number that we are rounding is followed by 1 to 4, then the number has to remain the same.

Here the number to be round off is 3.98, 9 belongs to the first category stated above. So, 3 is increased to 4.

Hence, the length of VI = 4 cm.

7 0

3 years ago

Triangles A C B and M Q R are shown. Sides A B and M R are congruent. Angles C A B and M R Q are 42 degrees. Angle C B A is 53 d

miss Akunina [59]

By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent

<h3>What is Angle Sum Property?</h3>

The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.

Using Angle Sum Property, in ΔMRQ

<M + <R + <Q= 180

<M + 42 + 85 = 180

<M = 180 -42

<M= 53°

Now, In ΔMRQ and ΔABC

<A= <R ,

<B = <M

AB = MR

Hence, By ASA criteria ΔMRQ ≅ ΔABC

Learn more about this concept here:

brainly.com/question/3486366

#SPJ1

4 0

1 year ago

Sylvia has a total of 16 trading cards: 8 superhero cards, 4 princess cards,2 villain cards, and 2 wildlife cards. what is the r

balu736 [363]

There as 16 cards, 2 of which are wildlife cards, so the ratio is 16 : 2. We can simplify it by dividing both sides by 2, so we'll get the ratio of 8 : 1.

I hope this helps! :)

5 0

3 years ago

What is the meaning of babalawo

vaieri [72.5K]

Answer:

how are we supposed to know that

7 0

3 years ago

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