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vichka [17]
4 years ago
14

Seven 1-centimeter buttons are stitched on a shirt.What area do all seven buttons cover? Round to the nearest hundredth. (Use 3.

14 for π.)
Mathematics
1 answer:
kow [346]4 years ago
5 0
The problem did not state if the 1cm measure is the radius or diameter. 

Area of a circle = π r²

Assuming: 1 cm is the radius

Area of 1 button = 3.14 * (1cm)² = 3.14cm²
Total area = 3.14cm² * 7 buttons =  21.98 cm²

Assuming: 1cm is the diameter : radius is 1/2 = 0.50cm
Area of 1 button = 3.14 * (1/2cm)² = 3.14 * 0.25cm² = 0.785cm²
Total area = 0.785cm² * 7 buttons = 5.495cm²


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The height of a right cylinder is 2r, where r is the radius. Write a function f in simplest form that represents the ratio of th
makkiz [27]
F = 3/r.

The formula for the volume of a cylinder is

V=πr²h.  We know that h=2r, so this gives us:

V = πr²(2r) = 2πr³

The surface area of a cylinder is the sum of the areas of all of the faces.  The bottom and top are circles, whose areas are both given by A=πr².  The lateral area of a cylinder is given by the circumference multiplied by the height.  C = 2πr, and the height is 2r, so the lateral area would be

A=(2πr)(2r)= 4πr².  This gives us a total surface area of

SA = 4πr²+πr²+πr² = 6πr².

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8 0
3 years ago
The graph shows the relationship between hours worked and total earnings for a store clerk. Let h represent hours worked and e r
Dovator [93]

Answer:

The answer is C.

Step-by-step explanation:

y = kx → e =

30

4

h → e = 7.5h

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8 0
3 years ago
Solve the following equation for X. Round your answer to four decimal places.
strojnjashka [21]

ANSWER

x = 1.2226

EXPLANATION

To solve this equation we have to apply the property of the logarithm of the base,

\log _bb=1

Thus, we can apply the natural logarithm - whose base is e, to both sides of the equation,

\ln e^{4x}=\ln 133

Now we apply the property of the logarithm of a power,

\log a^b=b\log a

In our equation,

\begin{gathered} 4x\ln e^{}=\ln 133 \\ 4x^{}=\ln 133 \end{gathered}

Then divide both sides by 4 and solve,

\begin{gathered} \frac{4x^{}}{4}=\frac{\ln 133}{4} \\ x\approx1.2226 \end{gathered}

The solution to this equation is x = 1.2226, rounded to four decimal places.

4 0
1 year ago
The lakeside marina charges a $35 rental fee for a boat in addition to charging $15 per hour. Part D:what information does the i
STALIN [3.7K]

Answer: B.The cost of rental fee only

Step-by-step explanation:

The $35 is the cost of the rental fee only. The person would then have to pay a further $15 for every hour they use the boat.

Essentially, the $35 is the fixed cost associated with the rental and the $15 is the variable cost to do so. If this were in a linear equation format it would take the form: y = 15x + 35.

7 0
3 years ago
____% of $4 = $3<br> Find the percentage
svetlana [45]
I believe the answer is 75 I am not sure but I adds up because 4*.75 equals to 3 there is another way to solve this though we can do the is over of equals % over 100 then we still get three have a nice day and good luck on your assignment (:
6 0
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