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Elden [556K]
2 years ago
9

A circle has a radius of 6.87 ft. What is the circumference of this circle? Use 3.14 for pi. Round your final answer to the near

est tenth. Enter your answer as a decimal in the box. ft
Mathematics
2 answers:
Ratling [72]2 years ago
4 0

Answer: Circumference of circle is 43.1 ft.

Step-by-step explanation:

Since we have given that

Radius of a circle = 6.87 ft

We need to find the circumference of circle :

As we know the formula for "Circumference of circle ":

C=2\pi r\\\\C=2\times 3.14\times 6.87\\\\C=43.1436\ ft\\\\C=43.1\ ft.

Hence, circumference of circle is 43.1 ft.

borishaifa [10]2 years ago
3 0
C = 2pi r
C = 2 x 3.14 x <span>6.87
C = 43.1 ft

answer: 43.1 ft</span>
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Juliana wants to remodel her bathroom. Materials will cost $500 and the contractor charges $40 per hour. The equation y=40x+500
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what are you trying to find or how long did the worker work


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2 years ago
Create an equation
Gala2k [10]

answer:

54 students

since 7 students left,

331 - 7 = 324

324 / 6 = 54 students

4 0
2 years ago
Find all the missing sides and angles of this triangle,
iren2701 [21]

Answer:

See solutions below

Step-by-step explanation:

From the given diagram;

AC = opposite

AB = 7 = hypotenuse

Angle of elevation = 70 degrees

Using SOH CAH TOA

Sin theta = opp/hyp

Sin theta = AC/AB

Sin 70 = AC/7

AC = 7sin70

AC = 7(0.9397)

AC = 6.58

Similarly

tan 70 = AC/BC

tan 70 = 6.58/BC

BC = 6.58/tan70

BC = 6.58/2.7475

BC = 2.39

tan m<A = BC/AC

tanm<A = 2.39/6.58

tan m<A = 0.3632

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8 0
2 years ago
The nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium. To determine if the
lora16 [44]

Answer:

We conclude that the sodium content is same as what the nutrition label states.

Step-by-step explanation:

We are given that the nutrition label for Oriental Spice Sauce states that one package of sauce has 1100 milligrams of sodium.

The FDA randomly selects 40 packages of Oriental Spice Sauce and determines the sodium content. The sample has an average of 1088.64 milligrams of sodium per package with a sample standard deviation of 234.12 milligrams.

<u><em /></u>

<u><em>Let </em></u>\mu<u><em> = average sodium content.</em></u>

So, Null Hypothesis, H_0 : \mu = 1100 milligrams      {means that the sodium content is same as what the nutrition label states}

Alternate Hypothesis, H_A : \mu \neq 1100 milligrams      {means that the sodium content is different from what the nutrition label states}

The test statistics that would be used here <u>One-sample t test statistics</u> as we don't know about population standard deviation;

                    T.S. =  \frac{\bar X-\mu}{\frac{s}{\sqrt{n}}}  ~ t_n_-_1

where, \bar X = sample average sodium content = 1088.64 milligrams

            s = sample standard deviation = 234.12 milligrams

            n = sample of packages of Oriental Spice Sauce = 40

So, <u><em>test statistics</em></u>  =  \frac{1088.64-1100}{\frac{234.12}{\sqrt{40}}}  ~ t_3_9

                              =  -0.307

The value of z test statistics is -0.307.

<em>Since, in the question we are not given the level of significance so we assume it to be 5%. </em><em>Now, at 0.05 significance level the t table gives critical values of -2.0225 and 2.0225 at 39 degree of freedom for two-tailed test.</em><em> </em>

<em>Since our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which </em><em><u>we fail to reject our null hypothesis</u></em><em>.</em>

Therefore, we conclude that the sodium content is same as what the nutrition label states.

3 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Verdich [7]

Answer:

A) -18, 3, 24, 45, ...   f(1) = -18, f(n) = f(n-1) + 21 for n = 2,3,4,5,...

B) 11, 33, 55, 77, ...  f(1) = 11, f(n) = f(n-1) + 22 for n>1

C) -18, -108, -648, -3,888, ... f(1) = -18, f(n) = f(n-1) * 6 for n> 1

Step-by-step explanation:

-18, 3, 24, 45, ...

Let's take look at the possible difference patterns between terms:

-18 -> 3 ==> +21 or /-6

3 -> 24 ==> +21 or *8

We see we have a common pattern possible... +21

Which is confirmed from 24 to 45.

So the function will be f(1) = -18 of course

f(n) = f(n-1) + 21 for n = 2,3,4,5,...

11, 33, 55, 77, ...

Let's take a look at the possible difference patterns here again:

11 --> 33 ==> +22 or *3

33 --> 55 ==> + 22 or *5/3

Again, pattern of +22 confirmed with 55 -> 77

f(1) = 11

f(n) = f(n-1) + 22 for n>1

-18, -108, -648, -3,888, ...

Possible patterns:

-18 --> -108 ==> -90 or *6

-108 --> -648 ==> -540 or *6

Pattern of *6 confirmed with -648 and -3,888.

f(1) = -18

f(n) = f(n-1) * 6 for n > 1

8 0
2 years ago
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