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katrin [286]
3 years ago
7

A wet bicycle tire leaves a trace of water on the floor. The tire has a radius of 30 cm and the bicycle wheel makes 3 full rotat

ions before stopping. How long is the trace of water left on the floor. Round to the nearest Cm
Mathematics
1 answer:
iragen [17]3 years ago
6 0

Answer:

565.2cm

Step-by-step explanation:

Since we need to find out the circumference because the radius of the tire is 30cm. We take 30cm times 2. Which we get 60cm, then we take 60cm times 3.14 to get the circumference of 188.4cm. Then we take 188.4cm times 3 full rotations to get 565.2cm.

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Determine the percent of change? original: 50 new: 150.
Reptile [31]
Hi there! The percentage of change is 200%

We can find the percentage of change using the following formula:
\frac{new-original}{original}  \times 100

When we fill in this formula, we get the following:
\frac{150-50}{50} \times 100 =  \frac{100}{50} \times 100 = 2 \times 100 = 200

Therefore, the percentage of change is 200%
5 0
3 years ago
Please work out question number 12 with working and answer. I'm stuck help please.​
Marianna [84]

Answer:

£40

Step-by-step explanation:

Sum the parts of the ratio 5 + 1 = 6 parts

Divide £48 by 6 to find the value of one part of the ratio

£48 ÷ 6 = £8 ← value of 1 part of the ratio

Thus the larger part of the ratio is

5 × £8 = £40

4 0
3 years ago
A student studied for 1 hour and earned a 50% on her test. If she had studied for 2
marshall27 [118]

You have to double 1 and 50 to get 2 and 100

1:50 = 2:100

1x2=2

50x2=100

So the statement, <em>if she studied for 2 hours, she would have gotten 100%</em>,  makes sense

Hope this helps!

3 0
3 years ago
You must design a closed rectangular box of width w, length l and height h, whose volume is 504 cm3. The sides of the box cost 3
Charra [1.4K]

Answer:

Dimensions will be

Length = 7.23 cm

Width = 7.23 cm

Height = 9.64 cm

Step-by-step explanation:

A closed box has length = l cm

width of the box = w cm

height of the box = h cm

Volume of the rectangular box = lwh

504 = lwh

h=\frac{504}{lw}

Sides which involve length and width and height, cost = 3 cents per cm²

Top and bottom of the box costs = 4 cents per cm²

Cost of the sides C_{s}= 3[2(l + w)h] = 6(l + w)h

C_{s}= 3[2(l + w)h]

C_{s}=6(l+w)(\frac{504}{lw} )

Cost of the top and the bottom C_{(t,p)}= 4(2lw) = 8lw

Total cost of the box C = 3024\frac{(l+w)}{lw} + 8lw

                                      = 3024[\frac{1}{l}+\frac{1}{w}] + 8lw

To minimize the cost of the sides

\frac{dC}{dl}=3024(-l^{-2}+0)+8w=0

\frac{3024}{l^{2}}=8w

\frac{378}{l^{2}}=w ---------(1)

\frac{dC}{dw}=3024(-w^{-2})+8l=0

\frac{3024}{w^{2}}=8l

\frac{378}{w^{2}}=l

w^{2}=\frac{378}{l}-------(2)

Now place the value of w from equation (1) to equation (2)

(\frac{378}{l^{2}})^{2}=\frac{378}{l}

\frac{(378)^{2} }{l^{4}}=\frac{378}{l}

l³ = 378

l = ∛378 = 7.23 cm

From equation (2)

w^{2}=\frac{378}{7.23}

w^{2}=52.28

w = 7.23 cm

As lwh = 504 cm³

(7.23)²h = 504

h=\frac{504}{(7.23)^{2}}

h = 9.64 cm                        

6 0
4 years ago
Hey! please help i’ll give brainliest
Vinvika [58]

Answer:

False.

Step-by-step explanation:

It says Jacob walked to the store to get milk. The use of the word walked means it was past tense. He had already walked to the store.

6 0
3 years ago
Read 2 more answers
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