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4 years ago

What's the next fraction after 45/60

Mathematics

2 answers:

fenix001 [56]4 years ago

6 0

45/60 + 1/60 = 46/60 (23/30)

Darya [45]4 years ago

4 0

You could say 46/60 (both of these fractions can be reduced), but we can find a fraction between 45/60 and 46/60, namely 91/120. And we can find another between 45/60 and 91/120, and so on ad infinitum.

To answer your question, there is no next fraction. Infinitely many may be found between any two.

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Answer:

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Step-by-step explanation:

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3 years ago

Under what circumstances are two nonright triangles congruent?

soldier1979 [14.2K]

If these are the given choices of the above problem,

a. one side and one angle are equal.
b.three sides are equal 
c.two angles are equal 
d. three angles are equal

Two non-right triangles are congruent when B. THREE SIDES ARE EQUAL.

Two triangles are congruent if:
1) All corresponding sides are equal (SSS)
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3) A pair of corresponding angles and the included side are equal (ASA)
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4 years ago

What is the momentum of each hockey player? Hockey player 1 has a mass of 65 kg and a velocity of 3.8 m/s

DaniilM [7]

Answer:

Momentum of hocking player $1:$ $247\ kg\ m/s$

Hockey player $2:$ $=249.4\ kg\ m/s$

Step-by-step explanation:

For first hockey player :

Given that

mass (m) $=65\ kg$

Velocity (v) $=3.8\ m/s$

$p=mv\................(1)$

where $p$ is momentum

put the value in equation (1)

$p=65\times3.8\\\\p=247kg\times m/s$

For second hockey player :

Given that

mass (m) $=58\ kg$

velocity (v) $=4.3\ m/s$

$p=mv\ ...............(2)$

Where $p$ is momentum

put the value in equation (2)

$p=58\times4.3\\p=249.4\ kg\times m/s$

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3 years ago

Which shows -5x + 10y = 80 in slope-intercept form?

gavmur [86]

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3 years ago

Verify that the points are the vertices of a parallelogram and find its area. (2,-1,1), (5, 1,4), (0,1,1), (3,3,4)

Gelneren [198K]

Answer:

Area = 13.15 square units

Step-by-step explanation:

Let the given vertices be represented as follows:

A(2, -1, 1) = 2i - j + k

B(5, 1, 4) = 5i + j + 4k

C(0, 1, 1) = 0i + j + k

D(3, 3, 4) = 3i + 3j + 4k

(i) Let's calculate the vectors of all the sides:

$\\$ AB = B - A = (5i + j + 4k) - (2i - j + k)

AB = 5i + j + 4k - 2i + j - k [Collect like terms]

AB = 3i + 2j + 3k

BC = C - B = (0i + j + k) - (5i + j + 4k)

BC = 0i + j + k - 5i - j - 4k [Collect like terms]

BC = -5i + 0j - 3k

CD = D - C = (3i + 3j + 4k) - (0i + j + k)

CD = 3i + 3j + 4k - 0i - j - k [Collect like terms]

CD = 3i + 2j + 3k

DA = A - D = (2i - j + k) - (3i + 3j + 4k)

DA = 2i - j + k - 3i - 3j - 4k [Collect like terms]

DA = -i - 4j - 3k

AC = C - A = (0i + j + k) - (2i - j + k)

AC = 0i + j + k - 2i + j - k [Collect like terms]

AC = -2i + 2j

BD = D - B = (3i + 3j + 4k) - (5i + j + 4k)

BD = 3i + 3j + 4k - 5i - j - 4k [Collect like terms]

BD = -2i + 2j

(ii) From the results in (i) above, we can deduce that;

AB = CD This implies that AB || CD [AB is parallel to CD]

AC = BD This implies that AC || BD [AC is parallel to BD]

(iii) Therefore, ABDC is a parallelogram since opposite sides (AB and CD) are parallel. Hence, the points are vertices of a parallelogram

Now let's calculate the area

To find the area of the parallelogram, we find the magnitude of the cross product of any two adjacent sides.

In this case, we'll choose AB and AC

Area = |AB X AC|

Where;

$AB X AC = \left[\begin{array}{ccc}i&j&k\\3&2&3\\-2&2&0\end{array}\right]$

AB X AC = i(0 - 6) - j(0 + 6) + k(6 + 4)

AB X AC = - 6i - 6j + 10k

|AB X AC| = $\sqrt{(-6)^2 + (-6)^2 + (10)^2}$

|AB X AC| = $\sqrt{172}$

|AB X AC| = 13.15

Area = 13.15 square units.

PS: ACBD is also a parallelogram. The diagram has also been attached to this response.

6 0

3 years ago