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3 years ago

4 loads of stone weigh 2/3 ton. Find the weight of 1 load of stone.

Mathematics

1 answer:

Vladimir79 [104]3 years ago

7 0

To find the weight of 1 load of stone, divide 2/3 by 4.

To divide fractions, use keep change flip.

Keep the first fraction the same, change the division sign into a multiplication sign, and flip the second fraction.

I attached the work and answer for this problem. If you have any questions please feel free to ask.

Hope this helps.

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The shaded sector above covers 1/3 of the circle. If the radius of the circle above is 3 cm, what is the area of the sector in t

Mekhanik [1.2K]

Given:

The shaded sector above covers $\dfrac{1}{3}$ of the circle.

Radius of the circle = 3 cm

To find:

The area of the sector in terms of π.

Solution:

The area of a circle is

$A=\pi r^2$

Substituting $r=3$ , we get

$A=\pi (3)^2$

$A=9\pi$

It is given that the shaded sector above covers $\dfrac{1}{3}$ of the circle.

The area of shaded sector $=\dfrac{1}{3}A$

$=\dfrac{1}{3}(9\pi)$

$=3\pi$

Therefore, the area of shaded sector is 3π sq. cm.

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3 years ago

Please answer this question, will give brainliest!

Ad libitum [116K]

Answer:

I dont really know the answer.. but ill try; if its wrong I am so sorry;

Step-by-step explanation:

First you must get the area of a circle, which is; A= pi r squared

and all you have to do is fill it in like this;

A= 3.14 x 2.0

A= 6.28

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3 years ago

Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .

babunello [35]

Answer:

$y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint$

Step-by-step explanation:

We are given that linear differential equation

$y''-3y=8e^{3t}+4 sint$

Auxillary equation

$D^2-3=0$

$D=\pm \sqrt3$

C.F= $C_1e^{\sqrt3t}+C_2e^{-\sqrt3}$

P.I= $\frac{8e^{3t}+4sin t}{D^2-3}$

P.I= $\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}$

P.I= $e^{ax}{\phi (D+a)}$ and $P.I=\frac{sinax}{(\phi D)}$ where D square is replace by - a square

P.I= $-\frac{4}{3}e^{3t}- sint$

Hence, the general solution

G.S=C.F+P.I

$y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint$

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3 years ago

Need answer ASAP I’m timed What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Whitepunk [10]

Answer:

Step-by-step explanation:

(7, 8) (-8, 0)

First find how much the point moved in y to the second point.

8-0=8

So one side is 8.

Then find how much it moved in x. 7-(-8)=15

So the other side is 15

This will give you 2 sides of a triangle where one sides lenght is 8 the other is 15. Use the pythagoras theorem which is x squared plus y squared = c squared

8^2+15^2=c^2

64+225=c^2

289=c^2 Take the square root of both sides to solve for C

√289= √C^2

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2 years ago

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katrin2010 [14]

I think the answer is 3 and two thirds yards

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3 years ago