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Colt1911 [192]
2 years ago
8

R = 3.7 m. Calculate the circumference of the circle.

Mathematics
1 answer:
Ksivusya [100]2 years ago
3 0

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

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Find the period of the function
Ostrovityanka [42]

Answer:

6π

Step-by-step explanation:

The period indicates after which time the sine wave repeats.

You divide 2π by the factor in front of your function variable. This is 1/3 for your function.

So 2π/(1/3) = 6π

4 0
3 years ago
A total of $10,000 is invested in two mutual funds. The first account yields 5% and the second account yields 6%. How much was i
Aleks [24]

Answer:

$2,500 was invested in the first account while $7,500 was invested in the second account

Step-by-step explanation:

Here in this question, we want to find the amount which was invested in each of the accounts, given their individual interest rates and the total amount that was accorded as interest from the two investments

Now, since we do not know the amount invested , we shall be representing them with variables.

Let the amount invested in the first account be $x and the amount invested in the second account be $y

Since the total amount invested is $10,000, this means that the summation of both gives $10,000

Mathematically;

x + y = 10,000 ••••••(i)

now for the $x, we have an interest rate of 5%

This mathematically translates to an interest value of 5/100 * x = 5x/100

For the $y, we have an interest rate of 6% and this mathematically translates to a value of 6/100 * y= 6y/100

The addition of both interests, gives 575

Thus mathematically;

5x/100 + 6y/100 = 575

Multiplying through by 100, we have

5x + 6y = 57500 •••••••••(ii)

From 1, we can have x = 10,000-y

let’s substitute this into equation ii

5(10,000-y) + 6y = 57500

50,000-5y + 6y = 57500

50,000 + y = 57500

y = 57500-50,000

y = 7,500

Recall;

x = 10,000-y

so we have;

x = 10,000-7500 = 2,500

3 0
3 years ago
Factor the expression completely.<br><br> 54 + 45x
kompoz [17]
9(6+5x) hope this helps!
5 0
3 years ago
Read 2 more answers
Please please please help me :(((​
Maslowich

Answer:

In the last diagram the object is being acted upon by forces not adding up to zero.

Step-by-step explanation:

(Assuming force 1=force 2 in terms of magnitude)

Let forces acting towards the left = -1

Let forces acting toward the right = +1

In the first diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the second diagram, force1 is acting towards the left and force2 is acting towards the right:

Total force = force1+force2=-1+1=0

In the third diagram, force1 is acting towards the right and force2 is acting towards the left:

Total force = force1+force2=+1-1=0

In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:

Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.

3 0
2 years ago
Which graph represents the compound inequality?
Viefleur [7K]

Yo sup??

Given inequality

-3 < n <1

since -3 and 1 isn't included therefore we have to see the option having open circle....he one which isn't filled

therefore the answer is option D

Hope this helps.

8 0
3 years ago
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