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3 years ago

two pizzas were each cut into sixths tommy john and peter shared the pizza equally, how many sixths did each person get?

Mathematics

1 answer:

lions [1.4K]3 years ago

5 0

4 Sixths is the answer, if there's 2 pizzas which have 12 pieces all together then you divide by 3 people

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Find x !!?????!!!????????????

mars1129 [50]

Answer:

x = 15

Step-by-step explanation:

Given

See attachment

Required

Find x

The figure in the attachment is a quadrilateral and the angles in a quadrilateral add up to 360.

So, we have:

90 + 6x + 5+ 10x - 40 + 4x + 5 = 360

Collect like terms

6x + 10x + 4x = 360 - 90 - 5 + 40 - 5

20x = 300

Divide both sides by 20

x = 15

Hence, the value of x is 15

4 0

3 years ago

At what angle does a diffraction grating produce a second-order maximum for light having a first-order maximum at 20.0 degrees?

hichkok12 [17]

Answer:

At 43.2°.

Step-by-step explanation:

To find the angle we need to use the following equation:

$d*sin(\theta) = m\lambda$

Where:

d: is the separation of the grating

m: is the order of the maximum

λ: is the wavelength

θ: is the angle

At the first-order maximum (m=1) at 20.0 degrees we have:

$\frac{\lambda}{d} = \frac{sin(\theta)}{m} = \frac{sin(20.0)}{1} = 0.342$

Now, to produce a second-order maximum (m=2) the angle must be:

$sin(\theta) = \frac{\lambda}{d}*m$

$\theta = arcsin(\frac{\lambda}{d}*m) = arcsin(0.342*2) = 43.2 ^{\circ}$

Therefore, the diffraction grating will produce a second-order maximum for the light at 43.2°.

I hope it helps you!

6 0

3 years ago

A bug splatters on the windshield of a moving car. Describe the 1. Forces 2. Impulses 3. Momentum changes 4. And accelerations o

uranmaximum [27]

Answer:

acceleration=force/mass

Due to variation in the mass[ as same force as per magnitude acts on both of them] the acceleration developed in the bug will be more and the acceleration developed in the car is negligible.

impulse=change in momentum

The impulse of bug is more and that of car is small.

momentum changes=change in momentum

force=change in momentum/time of contact

the force exerted by car on the bug will be more than the converse

Total. momentum is conserved , so magnitude of change in momemtum or impulse is same. By Newtons third law, since the bug have smaller mass, its change in magnitude of velocity is larger.

Step-by-step explanation:

4 0

3 years ago

LaShaundra is buying fence for two triangular sections of her garden.

mixas84 [53]

Answer: 80 feet.

Step-by-step explanation:

1. As you can see in the figure, triangle ABC and the triangle DFG are similar.

2. The scale of factor of triangle ABC to triangle DFG is the following:

$sf=\frac{20ft}{4ft}\\sf=5ft$

3. Therefore, the lenght of the side DG of the trinagle DFG is:

$DG=5*AC\\DG=5*7ft\\DG=35ft$

4. The perimeter of the triangle DFG is:

$P_{DFG}=20ft+25ft+35ft=80ft$

5. Therefore, she would need 80 feet of fence.

8 0

3 years ago

A __________ contains all the subset of superset. A superset. B proper subset. C null set 2.Positive square root of 1/3 is______

aivan3 [116]

Answer:

i) superset (A)

ii) 0.577 (A)

Step-by-step explanation:

i) A subset is a set which has all its elements contained in another set.

For two sets A and B, if each element of set A is an element of set B, then A is a subset of B.

A superset is a set that houses another set. So if set A is a subset of set B, then B is a superset of A.

Proper subset

For a set (A) to be a proper subset of another (B) every element of A would be in B but there exists at least one element in B that is not in A.

An Empty Set (or Null Set) doesn't have aren't any elements in it. It is empty.

Since every element of the superset is in the superset. Therefore, A superset contains all the subset of superset.

ii) Square root of 1/3 = √⅓

= ± √⅓ = +√⅓ or -√⅓

+√⅓ = +(√1/√3) = +(1/√3)

+√⅓ = +(1/1.7321)

+√⅓ = +0.577

Therefore Positive square root of 1/3 is 0.577 (A)

3 0

3 years ago