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lubasha [3.4K]
2 years ago
15

What are the common denominator for 4/5and 1/3

Mathematics
2 answers:
Maru [420]2 years ago
7 0

Answer:

15 is the answer hope this helps

alexgriva [62]2 years ago
5 0

Answer:

15

Step-by-step explanation:

Given the following question:

You can find the common denominator by multiplying the first fraction by the second fractions denominator, the same goes with the second fraction.

\frac{4}{5} \times3=\frac{12}{15}
\frac{1}{3} \times5=\frac{5}{15}
=15

Hope this helps.

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What is the volume of this rectangular prism?
BaLLatris [955]

Answer:

1

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

3 0
3 years ago
What are irrational numbers how do they differ from rational numbers give examples?
disa [49]

Answer:

Rational numbers are decimals that can't be turned into fractions and irational numbers are decimal numbers that can be turned into Fraction.

Step-by-step explanation:

Example Pi 3.14 can be 22/7

4 0
3 years ago
How to know if a function is periodic without graphing it ?
zhenek [66]
A function f(t) is periodic if there is some constant k such that f(t+k)=f(k) for all t in the domain of f(t). Then k is the "period" of f(t).

Example:

If f(x)=\sin x, then we have \sin(x+2\pi)=\sin x\cos2\pi+\cos x\sin2\pi=\sin x, and so \sin x is periodic with period 2\pi.

It gets a bit more complicated for a function like yours. We're looking for k such that

\pi\sin\left(\dfrac\pi2(t+k)\right)+1.8\cos\left(\dfrac{7\pi}5(t+k)\right)=\pi\sin\dfrac{\pi t}2+1.8\cos\dfrac{7\pi t}5

Expanding on the left, you have

\pi\sin\dfrac{\pi t}2\cos\dfrac{k\pi}2+\pi\cos\dfrac{\pi t}2\sin\dfrac{k\pi}2

and

1.8\cos\dfrac{7\pi t}5\cos\dfrac{7k\pi}5-1.8\sin\dfrac{7\pi t}5\sin\dfrac{7k\pi}5

It follows that the following must be satisfied:

\begin{cases}\cos\dfrac{k\pi}2=1\\\\\sin\dfrac{k\pi}2=0\\\\\cos\dfrac{7k\pi}5=1\\\\\sin\dfrac{7k\pi}5=0\end{cases}

The first two equations are satisfied whenever k\in\{0,\pm4,\pm8,\ldots\}, or more generally, when k=4n and n\in\mathbb Z (i.e. any multiple of 4).

The second two are satisfied whenever k\in\left\{0,\pm\dfrac{10}7,\pm\dfrac{20}7,\ldots\right\}, and more generally when k=\dfrac{10n}7 with n\in\mathbb Z (any multiple of 10/7).

It then follows that all four equations will be satisfied whenever the two sets above intersect. This happens when k is any common multiple of 4 and 10/7. The least positive one would be 20, which means the period for your function is 20.

Let's verify:

\sin\left(\dfrac\pi2(t+20)\right)=\sin\dfrac{\pi t}2\underbrace{\cos10\pi}_1+\cos\dfrac{\pi t}2\underbrace{\sin10\pi}_0=\sin\dfrac{\pi t}2

\cos\left(\dfrac{7\pi}5(t+20)\right)=\cos\dfrac{7\pi t}5\underbrace{\cos28\pi}_1-\sin\dfrac{7\pi t}5\underbrace{\sin28\pi}_0=\cos\dfrac{7\pi t}5

More generally, it can be shown that

f(t)=\displaystyle\sum_{i=1}^n(a_i\sin(b_it)+c_i\cos(d_it))

is periodic with period \mbox{lcm}(b_1,\ldots,b_n,d_1,\ldots,d_n).
4 0
3 years ago
Please help me add an explanation too pls
Elanso [62]

Answer:

42.5 inches

Step-by-step explanation:

because you gotta divide 349 by 8 to get ye height

8 0
2 years ago
Approximately 10% of all people are left-handed. Consider a grouping of fifteen people.
Wewaii [24]

Answer:

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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