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AVprozaik [17]
2 years ago
15

Complete the statement. Round to the nearest hundredth if necessary. 54 in.= yd.

Mathematics
1 answer:
klio [65]2 years ago
4 0
A-1.5 yards

We can figure this out by using the formula of inches to yards. Which is divide by 36 so 54/36 is 1.5. So that is how the answer is solved.

I hope this helps!

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At the park there is a pool shaped like a circle. A ring-shaped path goes around the pool. Its inner diameter is 22yd and its ou
jeka94
First, we need to think about what we're actually solving for: the area of the path. To find this, we can find the area of the whole thing, minus the area of the pool.

The diagram would look something like the picture I attached. We know that to find the area of a circle, you do πr^2. The radius is half of the diameter, so halve the diameters:

22/2 = 11 yards
32/2 = 16 yards

Then solve for the area of both circles.
π11^{2}= 121π ≈ <span>380.13 (area of the pool)</span>
π16^{2}= 256π ≈ <span>804.25 (area of the whole thing)
</span>
Next, subtract the area of the pool from the area of the whole thing to find the area of the walkway:
804.25 - 380.13 = 424.12 (area of the walkway)

Finally, divide the area of the walkway by 6 to see how many gallons of paint you'll need:

424.12 ÷ 6 ≈ 70.69

So you'll need 71 gallons of paint!

Hope I helped and let me know if you have any questions :)


6 0
3 years ago
Solve by using proper methods. Show your work.
NeX [460]

Answer:

$70,201.38

Step-by-step explanation:

To determine the principal amount, we can use the formula:

P=\dfrac{A}{(1+\frac{r}{n})^{nt}}

A = $200,000

r = 7% or 0.07

t = 15 years

n = 12

Now let's substitute our values.

P=\dfrac{200,000}{(1+\frac{0.07}{12})^{12(15)}}

P=\dfrac{200,000}{(1.00583333333)^{12(15)}}

P=70,201.38

So the principal needed to get 200,000 in 15 years is $70,201.38.

7 0
3 years ago
The number is odd. the number is more than 7 times 3. the number is less than 5 times 5. the myster number is what?
Ksju [112]
23 is your answer i think
4 0
3 years ago
Read 2 more answers
Rectangle WXYZ was dilated to create W'X'Y'Z'.
Snezhnost [94]

You did not attach any picture to solve this problem. We cannot calculate for the value W’X’ without the correct illustrations. However, I think I found the correct one (see attached), please attach it next time.

So the first thing we have to do is to calculate for the dilation factor. Taking point G as the reference point, we can see that the distance of point G from rectangle W’X’Y’Z’ is 1.5 while the distance from rectangle WXYZ is (1.5 + 7.5), therefore the dilation factor to use is:

dilation factor = 1.5 / (1.5 + 7.5) = 1.5 / 9 = 1/6

 

Since WX has an initial measure of 3 units, therefore the measure of W’X’ is:

W’X’ = 3 units * (1/6) = 0.5 units

 

Answer:

<span>0.5 units</span>

4 0
3 years ago
Read 2 more answers
Solve the exponential equation-<br><br> (-5)^2x=625
dalvyx [7]

Answer:

x=25

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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