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Evgesh-ka [11]
3 years ago
7

Equivalent Fractions: Decide if the Fractions are Equivalent and tell what number was used to reduce them. If they are not, expl

ain why.
10/20= 2/3
Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0

Answer:

are not equivalent

Step-by-step explanation:

20 isnt in the 3 times table so there is no way to simplify the franction into the other

simpilest form of 10/20 is 2/4

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If Sin 3x= Cos (x-60), find the value of x​
Kamila [148]

Answer:

x = 15

Step-by-step explanation:

Assuming 3x and x-60 are in degrees, you can use:

cos(a) = sin(a+90)

To rewrite the equation as:

sin(3x) = sin(x-60+90)

sin(3x) = sin(x+30)

3x = x+30

2x = 30

x = 15

But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.

4 0
3 years ago
What is the location of the point on the number line that is 3/7 of the way from A= -4 to B=17?
Margaret [11]
The point that is 3/7 of the way between -4 and 17 is 5
6 0
4 years ago
Read 2 more answers
Find the solution of the differential equation that satisfies the given initial condition. y' tan x = 3a + y, y(π/3) = 3a, 0 &lt
Paladinen [302]

Answer:

y(x)=4a\sqrt{3}* sin(x)-3a

Step-by-step explanation:

We have a separable equation, first let's rewrite the equation as:

\frac{dy(x)}{dx} =\frac{3a+y}{tan(x)}

But:

\frac{1}{tan(x)} =cot(x)

So:

\frac{dy(x)}{dx} =cot(x)*(3a+y)

Multiplying both sides by dx and dividing both sides by 3a+y:

\frac{dy}{3a+y} =cot(x)dx

Integrating both sides:

\int\ \frac{dy}{3a+y} =\int\cot(x) \, dx

Evaluating the integrals:

log(3a+y)=log(sin(x))+C_1

Where C1 is an arbitrary constant.

Solving for y:

y(x)=-3a+e^{C_1} sin(x)

e^{C_1} =constant

So:

y(x)=C_1*sin(x)-3a

Finally, let's evaluate the initial condition in order to find C1:

y(\frac{\pi}{3} )=3a=C_1*sin(\frac{\pi}{3})-3a\\ 3a=C_1*\frac{\sqrt{3} }{2} -3a

Solving for C1:

C_1=4a\sqrt{3}

Therefore:

y(x)=4a\sqrt{3}* sin(x)-3a

3 0
4 years ago
Michelle places 15 potato plants in rows. All rows contain the same number of plants. how many plants could be in each row?
dedylja [7]

Answer:

225

Step-by-step explanation:

225 is the answer so each potato contain 15 so 15 x 15

4 0
3 years ago
Read 2 more answers
The perimeter of a cross section of a piece of lumber is 16 1/2in. The length is twice the width. Find the actual dimensions of
Lorico [155]
<span>the perimeter of the cross section is 16.5 inches.
the perimeter of the cross section is 2*L plus 2*W where L is the length of the cross section and W is the width of the cross section.
since L = 2*W, the perimeter becomes 4*W plus 2*W = 6*W.

16.5 / 6 = 2.75 inches.
W = 2.75 inches.
L = 5.5 inches.
P = 2*L + 2*W = 2*5.5 + 2*2.75 = 11 + 5.5 = 16.5 </span>
6 0
3 years ago
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