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miskamm [114]
3 years ago
9

Help me please -----

Mathematics
1 answer:
Alinara [238K]3 years ago
4 0

Step-by-step explanation:

1 1/3 yards= 48in

2 1/3 yards = 84in

3 1/3 yards = 120in

4 1/3 yards = 156in

5 1/3 yards= 192in

6 1/3 yards= 228in

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the hoop rotates through qan angle of 3/2 pie radian in 1 second how many revolutions does the hoop make in 1 minute
timofeeve [1]
A revolution is a full go-around the circle, namely a 2π angle, as opposed to pie, but yours sounds more delicious.

so, we know it does 3/2 π in 1 second, how many π does it do in 60 seconds(1 minute) ?

\bf \begin{array}{ccll}
radians&seconds\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{3\pi }{2}&1\\\\
r&60
\end{array}\implies \cfrac{\frac{3\pi }{2}}{r}=\cfrac{1}{60}\implies \cfrac{\frac{3\pi }{2}}{\frac{r}{1}}=\cfrac{1}{60}

\bf \cfrac{3\pi }{2}\cdot \cfrac{1}{r}=\cfrac{1}{60}\implies \cfrac{3\pi }{2r}=\cfrac{1}{60}\implies \cfrac{3\pi \cdot 60}{2}=r\implies 90\pi =r\\\\
-------------------------------\\\\
\textit{how many times }2\pi \textit{ goes into }90\pi ?\qquad \cfrac{90\pi }{2\pi }\implies 45
7 0
3 years ago
Cases are normally sold full. There were three partially full cases that could be combined to make full cases. The cases were 11
Pani-rosa [81]
You will get 1 7/16 cases
3 0
4 years ago
487 divided by 8 with remainder
nignag [31]

Answer:

487 divided by 8=60.875.

Step-by-step explanation: You can use a calculator to find the answer for this question, and you will see that the answer is 60.875, which is 60 with a remainder of 7

8 0
4 years ago
Read 2 more answers
A lottery game offers a prize of $ 200,000 at the end of thirty years. If the interest rate is 6 6​%, the present value of this
Wewaii [24]

Answer:

$34,822.03

Step-by-step explanation:

Future value after 30 years (FV) = $200,000

Time (t) = 30 years

interest rate (r) = 6% =0.06

The equation for obtaining the present value given the future value is:

PV = \frac{FV}{(1+r)^n}

Applying the data provided:

PV = \frac{\$200,000}{(1+0.06)^{30}}\\PV=\$34,822.03

The present value of the lottery prize amount is $34,822.03.

5 0
3 years ago
The rational number lies between −67/7 and−78/8
zheka24 [161]

9514 1404 393

Answer:

   -135/14

Step-by-step explanation:

There are an infinite number of rational numbers between any pair of numbers you name. These two number have the decimal values ...

  -67/7 = -9 4/7 = -9.571428... (repeating)

  -78/8 = -9 3/4 = -9.75

So, numbers like -9.6 = -48/5, or -9.7 = -97/10 are rational numbers that lie in the range you specified.

If you like, you can convert these numbers to ones with a common denominator (56).

 -67/7 = -536/56

 -78/8 = -546/56

These limits suggest several possible rational numbers with 56 as a denominator: -540/56 = -135/14, for example.

7 0
3 years ago
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