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Vlada [557]
3 years ago
7

The area of a circle with the radius 3 feet is ____ ft^2 ? Rounded to the nearest hundredths

Mathematics
2 answers:
nordsb [41]3 years ago
5 0

Answer:

28.26ft^2

Step-by-step explanation:

The formula for area of circle is:

A=3,14*r^2, where r =3 and 3,14 is pie number, so we have

A=3.14*9=28,26

yawa3891 [41]3 years ago
5 0

Area of the circle is 30 ft²

Step-by-step explanation:

  • Step 1: Find the area of the circle with radius = 3 ft

Area = πr² = 3.14 × 3² = 28.26 ft² ≈ 30 ft²

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A raft and a motorboat simultaneously leave from the same point and move down the river. After 2 hours the motorboat turns aroun
lesya692 [45]

Answer:

2 hours

Step-by-step explanation:

Let x mph be the speed of motorboat in still water and y mph be the speed of current.

A raft and a motorboat simultaneously leave from the same point and move down the river, then speeds down the river are:

        motorboat =  x + y mph

        raft = y mph

In two hours they will cover:

        motorboat = 2(x+y) miles

        raft = 2y miles

After 2 hours the motorboat turns around and starts moving towards the raft (against the current), so its speed is now x - y mph.

Let t be the time they move towards each other. In t hours, they cover

        motorboat = t(x - y) miles

        raft = ty miles

The distance from the starting point to the turning point is the same as the sum of the distances the raft covers and the motorboat covers after turning around, so

2(x+y)=2y+t(x-y)+ty \\ \\2x+2y=2y+tx-ty+ty\\ \\2x=tx\\ \\t=2\ hours

6 0
3 years ago
A production process produces 2% defective parts. a sample of 5 parts from the production is selected. what is the probability t
Lana71 [14]

Answer:

Probability of a sample that contains exactly two defective parts is .0037 or .37%

Step-by-step explanation:

As we know if P is the probability of achieving k results in n trials then probability formula is P = \binom{n}{k}p^{K}q^{n-k}

In this formula n = number of trials

                        k = number of success

                        (n-k) = number of failures

                         p = probability of success in one trial

                         q = (1-p) = probability of failure in one trial

In this sum n = 5

                  k = 2

number failures (n-k) = (5-2) = 3

                            p = 2% which can be written as .02

                            q = 98% Which can be written as .98

Now putting these values in the formula

                        P = \binom{5}{2}(.02)^{2}(.98)^{5-2}

                        P = \binom{5}{2}(.02)^{2}(.98)^{3}

                   \binom{5}{2}= 5!/3!2!    

                                              = 5×4×3×2×1/3×2×1×2×1

                                              = 5×2 =10

                                       P = 10×(.02)²×(.98)³

                                          = .0037 or .37%

4 0
3 years ago
Read 2 more answers
The theater group took a survey about the type of popcorn they should sell during plays. They randomly surveyed 52 students at l
Solnce55 [7]

Answer:

13 caramel I think you just put it in the question

Step-by-step explanation:

8 0
3 years ago
Describe a model that represents 3/3 x 4/4
Sphinxa [80]
The answers is 1 becuase 3/3=1 and 4/4=1
7 0
3 years ago
Read 2 more answers
Rita is hiking along a trail that is 13.8 miles long. So far she has hiked along one-tenth of the trail.
vichka [17]

Rita has hiked 1.38 miles so far.

Step-by-step explanation:

Given,

Total length of the hiking trail = 13.8 miles

Distance covered by Rita so far = \frac{1}{10}\ of\ the\ trail

Distance covered in miles = \frac{1}{10}*13.8

Distance covered in miles = 1.38 miles

Rita has hiked 1.38 miles so far.

Keywords: fraction, division

Learn more about fractions at:

  • brainly.com/question/13062539
  • brainly.com/question/13076219

#LearnwithBrainly

4 0
3 years ago
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