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3 years ago

It took 4 balloons to make the duck float. The duck

Mathematics

1 answer:

DaniilM [7]3 years ago

6 0

Answer: 14 grams

Step-by-step explanation:

It took 4 balloons to make a duck that weighs 56 grams to float. With one balloon, the number of grams that will float will be 56 grams divided by 4. This will be:

= 56 grams ÷ 4

= 14 grams

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Three forces act on a hook. Determine the magnitude of the resultant of the force.

Novay_Z [31]

Use Hooke's law... (just kidding)

Break down each force vector into horizontal and vertical components.

$\vec F_1=(1000\,\mathrm N)(\cos30^\circ\,\vec x+\sin30^\circ\,\vec y)\approx(866.025\,\mathrm N)\,\vec x+(500\,\mathrm N)\,\vec y$

$\vec F_2=(1500\,\mathrm N)(\cos160^\circ\,\vec x+\sin160^\circ\,\vec y)\approx(-1409.54\,\mathrm N)\,\vec x+(513.03\,\mathrm N)\,\vec y$

$\vec F_3=(750\,\mathrm N)(\cos195^\circ\,\vec x+\sin195^\circ\,\vec y)\approx(-724.444\,\mathrm N)\,\vec x+(-194.114\,\mathrm N)\,\vec y$

The resultant force is the sum of these vectors,

$\vec F=\displaystyle\sum_{i=1}^3\vec F_i\approx(-1267.96\,\mathrm N)\,\vec x+(818.916\,\mathrm N)\,\vec y$

and has magnitude

$|\vec F|\approx\sqrt{(-1267.96\,\mathrm N)^2+(818.916\,\mathrm N)^2}\approx1509.42\,\mathrm N$

The closest answer is D.

5 0

2 years ago

I am stumped on Question 2

Tomtit [17]

Answer:

Step-by-step explanation:

A.60/100=3/5

B.10-8=2

D.20/100=5

C.0.37=

E.5/6=0.83

4 0

3 years ago

Read 2 more answers

A train travels 100 kilometers in 3.0 hours, and then 50 kilometers in 20

11Alexandr11 [23.1K]

Answer: 0.03 and 0.4

Step-by-step explanation:

3.0 would turn into 3.

3 divided by 100 is 0.03.

20 divided by 50 is 0.4

So, I think that it would be either 0.03 or 0.4

3 0

3 years ago

After distributing, which equation is equivalent to -4(3x + 2) = 10a.-12x -8 = 10b.-12x + 8 = 10c.-12x -6 = 10d.-12x + 6 = 1

rodikova [14]

Answer:

Option A: -12x-8=10 is the correct answer.

Step-by-step explanation:

Given equation is:

-4 (3x+2) = 10

We will distribute the equation by multiplying the terms inside the brackets with -4.

Therefore,

-4*3x + 2*-4 = 10

-12x +(-8) = 10

-12x - 8 = 10

The equation -4 (3x+2) = 10 will become -12x-8=10 after distributing.

Hence,

Option A: -12x-8=10 is the correct answer.

5 0

3 years ago

Someone help me with this question please

Valentin [98]

Answer:

We will need 16 tiles

Step-by-step explanation:

Each tile has a width of 1/4 ft

We want to know how many will fill 4 ft

This is a division problem

4 ft wall/ 1/4ft tiles =

copy dot flip

4 * 4/1 = 16

We will need 16 tiles

5 0

2 years ago