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Answer:

159.25 meters

Step-by-step explanation:

Using the solution diagram attached ;

From Trigonometric relation, the width, w of the canal can be obtained using :

Tanθ = opposite / Adjacent

Tan 37 = 120 / w

w * tan 37 = 120

w = 120 / tan 37

w = 159.24537 meters

Hence, width of canal is 159.25 meters

Answer:

A.

[tex] - 1 \frac{1}{3} [/tex]

Answer:

24 ft²

Step-by-step explanation:

The surface area of each box to be covered ;

Since box is cube shaped, we find the surface area of a cube to get our solution :

Surface area of a cube = 6a²

Where, a = cube edge

a = 2

Hence,

Surface area = 6a² = 6(2)² = 6 * 4 = 24ft²

Answer:

(233.8436 ; 271.0564)

Yes

Step-by-step explanation:

Given :

Sample mean, xbar = 252.45

Sample standard deviation, s = 74.50

Sample size, n = 64

α = 0.05

The confidence interval :

Mean ± margin of error

Margin of Error = tα/2 * s/√n

df = n - 1 = 64 - 1 = 63

t(α/2, df = 63) = 1.998

Margin of Error = 1.998 * 74.50/√64

Margin of Error = 18.6064

The confidence interval :

252.45 ± 18.6064

(233.8436 ; 271.0564)

Comparing the confidence interval value and the mean value reported by the American Automobile Association ;it can be concluded that the mean reported by the American Automobile Association differ from the mean spent at Niagara Fall as 215.60 falls below the confidence interval.

The confidence interval  is (233.8436 ; 271.0564).

We have given that the,

Sample mean, x bar = 252.45

Sample standard deviation, s = 74.50

Sample size, n = 64

α = 0.05

The confidance interval is Mean ± margin of error.

[tex]Margin of Error = t\alpha /2 \times s/\sqrt{n}[/tex]

[tex]df = n - 1 \\df= 64 - 1 \\df= 63[/tex]

[tex]t(\alpha/2, df = 63) = 1.998[/tex]

[tex]Margin of Error = 1.998 \times 74.50/\sqrt64[/tex]

Margin of Error = 18.6064

The confidence interval  is given by,

252.45 ± 18.6064

Therefore we get the confidence interval  is (233.8436 ; 271.0564)

Comparing the confidence interval value and the mean value reported by the American Automobile Association ;it can be concluded that the mean reported by the American Automobile Association differ from the mean spent at Niagara Fall as 215.60 falls below the confidence interval.

To learn more about the confidence interval visit:

https://brainly.com/question/15712887

Answer:

Shaquille Rashaun O'Neal is an American former professional basketball player who is a sports analyst on the television program Inside the NBA. O'Neal is regarded as one of the greatest basketball players and centers of all time.

Step-by-step explanation:

have a nice summer!

Answer:

A. y = 2/5x - 2

Step-by-step explanation:

We can use the slope formula to find the slope of the line.

[tex]m=\frac{y_1-y_2}{x_1-x_2} \\m=\frac{-2-0}{0-5} \\m=\frac{-2}{-5}\\m=\frac{2}{5}[/tex]

Now we know that the slope of the line is 2/5. By looking at the graph, the line crosses the y-axis at the point (0, -2). Therefore, the equation of the line is y = 2/5x - 2.

Answer:

57.91°

Step-by-step explanation:

see pic

Using Law of Cosines

lower case letters are sides. Uppercase letter is angle.

Step-by-step explanation:

hope this will help you alot

if this really help you please votee or mark me as brinalist.

Thankyou

Answer:

x = 9

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

(24+3) * 3 = x^2

27*3 = x^2

81 = x^2

Take the square root of each side

sqrt(81) = sqrt(x^2)

9 =x

Answer:

The minimum value of the function is 12

Answer:

160 yards

Step-by-step explanation:

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

x = 0

y = 2

Step-by-step explanation:

Answer:

[tex] \sin( \alpha ) = \frac{4}{5} [/tex]

Step-by-step explanation:

as if we form an imaginary triangle with this line as hypotenuse

we get

using Pythagoras theorem:-

hyponteuse ² = perpendicular ² + base²

hyp² = 4² + 3²

hyp² = 16 + 9

[tex]hyp = \sqrt{25} [/tex]

hyp = 5 units

[tex] \sin( \theta ) = \frac{perpendicular}{hypotenuse} \\ \sin( \theta) = \frac{4}{5} [/tex]

Answer:

[tex] \sqrt{ {a}^{2} + {b}^{2} } \: \: units[/tex]

Step-by-step explanation:

Using distance formula

[tex] \sqrt{ {(0 - b}^{2} + {(b - 0)}^{2} } \\ = \sqrt{ {a}^{2} + {b}^{2} } [/tex]

Answer:

Step-by-step explanation:

take 69 degree as reference angle

using sin rule

sin 69=opposite/hypotenuse

0.93=7.2/x

x=7.2/0.93

x=7.74

x=7.7

Answer:

the answer is "B" the second one...

(1/2)(2)^x

at

0 = (1/2)(1) = 1/2

2= (1/2)(4) = 2

Step-by-step explanation:

Happy Pride Month!

Answer:

Option B

Step-by-step explanation:

Use Desmos graphing calculator for these probloms and type your qustion on the left box

We will form the equations for this problem:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

z = ? Monthly administration fee is notated with z, and that is the this problem's question.

Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.

Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.

The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:

(1) 1100*y + z = 113

(2) 1500*y + z = 153

----------------------------

(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:

(2) 1500*y + (113 - 1100*y) = 153

-------------------------------------------------

(1) z = 113 - 1100*y

(2) 1500*y + 113 - 1100*y = 153

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y + 113 = 153

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y = 153 - 113

------------------------------------------------

(1) z = 113 - 1100*y

(2) 400*y = 40

------------------------------------------------

(1) z = 113 - 1100*y

(2) y = 40/400

------------------------------------------------

(1) z = 113 - 1100*y

(2) y = 1/10

------------------------------------------------

if we insert the obtained value of y into (1) equation, we get the value of z:

(1) z = 113 - 1100*(1/10)

(1) z = 113 - 110

(1) z = 3 dollars is the monthly fee.

credit: freesparrow

Answer:

3

Step-by-step explanation:

bc it is

Answer:

Step-by-step explanation:

This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:

[tex]tan26=\frac{h}{123}[/tex] and

123tan(26) = h so

h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is

60.0 + 5.3 = 65.3 feet.

Answer:

x - 15 120 9 18 12 33

y - 5 40 3 6 4 11

Step-by-step explanation:

x - 15 120 a a 12 33

y - 5 40 3 6 b d

x = 3y

When y = 5

x = 3y

x = 3 * 5

x = 15

When y = 40

x = 3y

x = 3 * 40

x = 120

When y = 3

x = 3y

x = 3 * 3

x = 9

When y = 6

x = 3y

x = 3 * 6

x = 18

When x = 12

x = 3y

12 = 3y

y = 12/3

y = 4

When x = 33

x = 3y

33 = 3y

y = 33/3

y = 11

Answer:

1 /3

Step-by-step explanation:

We know that a^-b = 1/a^b

9^-1/2 = 1/9^1/2

The sqrt (9) =3

1 /3

Answer:

c(12 + 9 + 6)

12(2.25c)

Step-by-step explanation:

12c + 12 (3/4c) + 12 (1/2c)

12(1c) + 12(3/4c) + 12 (1/2c)

12(c + 3/4c + 1/2c)

12(2 1/4c)

12(2.25c)

Or

12c + 12 (3/4c) + 12 (1/2c)

12c + 9c + 6c

c(12 + 9 + 6)

OC = 3 in

Refer to the attachment for complete explaination

Answer:-

The answer is [tex] \sf \huge \underline \red{No}[/tex] , Because If it's a regular polygon, then the sum of it's exterior angles is add up to 360°.

Answer:

108.2

Hope this is right!

Answer: 25

Step-by-step explanation: I just entered the equation into my calculator like so.

A negative number times a negative number equals a positive number.

I hope this helps, have a nice day.