All categories

4 years ago

The diameter of a circular swimming pool is 18 feet. find the circumference to the nearest tenth

Mathematics

1 answer:

ikadub [295]4 years ago

3 0

Answer:

circumfence ≈ 56.5 feet

Step-by-step explanation:

circumfence = pi * diameter = pi * 18 = 56.54866776 ≈ 56.5 feet

You might be interested in

What is the quotient?<br><br> Negative 4 and one-third divided by negative three-fourths

maksim [4K]

First change the mixed fraction to an improper fraction.
-4 1/3 is -13/3 and
Then divide by -3/4. *Remember dividing by a fraction is really multiplying by its inverse.

So
-13/3 ➗-3/4 is
-13/3 ✖️-4/3= 52/9 ( note negative ✖️negative = positive)
52/9 simplified becomes 5 7/9

7 0

4 years ago

Which is an equation of the line that passes through the point (1, 4) and has a slope of 3?

Varvara68 [4.7K]

So an equation of any line is y=mx+b.
We know that the m, or slope, equals 3.
y=3x+b
Now we find the b, or the y-intercept, by substituting the x and y values into their places.
4=3*1+b
4=3+b
b=1
Now that we have the y-intercept, we just substitute the m and b into the equation and receive our final answer:
y=3x+1

5 0

3 years ago

Read 2 more answers

I need the answer please and thank u!!!!

jarptica [38.1K]

Answer:

x=55

Step-by-step explanation:

Ok I'm not sure about the theorem I thought it was just corresponding angles theorem but to get the x value set up an equation with your given info that is equal to 120.

2x+10=120

Subtract 10 from both sides.

2x=110

Divide both sides by 2.

x=55

4 0

3 years ago

The data below gives the mean price (in cents) of a liter of regular gasoline at self-service filling stations at a sample of si

bogdanovich [222]

Answer:

135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)

Step-by-step explanation:

Given the data:

Urban area Price/liter

St. John, NL 137.1

Halifax 133.6

Montreal 136.2

Regina 132.3

Saskatoon 132.2

Yellowknife 138.9

Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6

= 810.3 / 6

= 135.05

Standard deviation (σ) : √Σ(X - mean)²/n-1

(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135

√(38.135 / (6 - 1))

= √7.627

= 2.7617023

= 2.762

C.)

90% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 90% = 1.64

135.05 ± 1.64 * (2.762/√6)

135.05 ± 1.64 * 1.1275817

Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201

Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899

Confidence interval = (133.201, 136.899)

D.)

95% confidence interval of the mean :

Mean ± Zcrit * σ/√n

Zcrit at 95% = 1.96

135.05 ± 1.96 * (2.762/6)

135.05 ± 1.96 * 1.1275817

Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840

Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260

Confidence interval = (132.840, 137.260)

4 0

3 years ago

"Find the value of the derivative (if it exists) at each indicated extremum. (If an answer does not exist, enter DNE.) f (x) = c

Oliga [24]

$\bf f(x)=cos\left( \frac{\pi x}{2} \right)\implies \cfrac{df}{dx}=\stackrel{chain~rule}{-sin\left( \frac{\pi x}{2} \right)\cdot \frac{\pi }{2}}$

now, what is the value of the derivative at any extrema on the original function? well, by definition, if the original function has an extrema anywhere, the derivative will be the derivative of a horizontal tangent line to it, and by definition it'll be 0.

8 0

3 years ago