what is the squair root of 9/49

Answer: 95 degrees

Step-by-step explanation:

Value of n in the given triangle is [tex]95^o[/tex].

The given image in the question is  attached below:

We have to find the value of n.

Let's find the interior angles based on the two given angles:

Since we know the sum of interior and exterior angle is always [tex]180^{o}[/tex].

Consider for the given interior angles, the exterior angles are A and  B respectively.

Then,

121 + A= 180

A = 180-121

A = 59

so the interior angle A= 59

Next, 144 + B = 180

B = 180-144

B= 36

So the interior angle B=36

We also know that the sum of all the three angles of a triangle is always [tex]180^o[/tex]

Consider the 3rd angle is C

Then, A+B+C = 180

On substituting the values of A and B.

59 + 36 + C = 180

95 + C = 180

C = 18-95

C= 85

As we have found, the adjacent interior angle of n. We can find the value of n as:

n + C = 180

n = 180-85 (Since C=85)

n = 95

so, [tex]n=95^o[/tex]

Hence, the value of n is [tex]95^o[/tex].

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Answer:

The total time taken to reach C = 10 s

The total distance traveled by the body = 29 m

Step-by-step explanation:

Whereby the points are vertically oriented, we have;

v = u + at

Where;

a = Acceleration of the body = -1 m/s²

u = Initial velocity = 3 m/s

v = Final velocity, = 0 m/s at maximum height

t = Time taken

0 = 3 + (-1)× t

t = 3 s

The maximum height S is given as follows;

S = u·t  + 1/2·a·t² = 3×3 + 1/2×(-1)×3² = 4.5 m

Therefore, the total distance, [tex]S_t[/tex], from maximum height to C = 45 + 20 = 24.5 m

The total time is given from the total distance as follows;

[tex]S_t[/tex]  = u[tex]_m[/tex]·t[tex]_t[/tex]  + 1/2·a[tex]_d[/tex]·t[tex]_t[/tex]²

Where;

u[tex]_m[/tex] = Initial velocity from the maximum height = 0 m/s

a[tex]_d[/tex] = Downward acceleration = Opposite sign to upward acceleration = 1 m/s²

24.5  = 0·t[tex]_t[/tex]  + 1/2·(1)·t[tex]_t[/tex]²

49 = t[tex]_t[/tex]²

t[tex]_t[/tex] = √ 49 = 7 s

The total time taken to reach C = Initial time to reach maximum height + Time from maximum height = 3 s + 7 s = 10 s

The total time taken to reach C = 10 s

The total distance traveled by the body = Distance from B to maximum height + Distance from maximum height to C

The total distance traveled by the body = 4.5 m + 24.5 = 29 m.

The total distance traveled by the body = 29 m.

Answer:

3

Step-by-step explanation:

5 x + 2 = 7 x − 4

7x-5x= 2+4

2x= 6

x= 3

Answer:

The value of x in this equation is 3.

Step-by-step explanation:

5x + 2 = 7x - 4

Subtract 7x from both sides of the equation.

-2x + 2 = -4

Subtract 2 from both sides of the equation.

-2x = -6

Divide by -2 on both sides of the equation.

x = 3

Answer:

A

Step-by-step explanation:

follow the pattern  in its timetables,hope this helps u!

Answer:

A. cos y°= r/q

Step-by-step explanation:

Problem: If sin y = 7/q and tan y = 7/r, what is the value of cos y?

A. cos y°= r/q B. cos y° = 7r C. cos y° = 7q D. cos y°= q/r

Answer:

sin y = opp/hyp = 7/q

tan y = opp/adj = 7/r

opp = 7; hyp = q; adj = r

cos y = adj/hyp = r/q

Answer: A. cos y°= r/q

Answer:

cos y = r/q

Step-by-step explanation:

Hey! took the test got it right decided to put it here have a good day!

Answer:

Rate of increase in water pressure is 992

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:  

Miguel babysits for 3 hours and earns $15. Which represents the unit rate?

Option  D

(D) $5 per hour

Step-by-step explanation:

$5.00 Per Hour Represents unit rate,  15 / 3 = 5

Answer:

see explanation

Step-by-step explanation:

(a)

Since there are 360° in the complete pie chart the 40° represents

360° ÷ 40° = 9 parts of the chart

Since 40° represents 7 cars then there are a total of

9 × 7 = 63 cars in the car park

(b)

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Given C = 28 , then

πd = 28 ( divide both sides by π )

d = [tex]\frac{28}{\pi }[/tex]

Answer:  tan(14x)

Step-by-step explanation:

Consider the Sum Formula for tan:

[tex]tan(A + B)=\dfrac{tan(A)+tan(B)}{1-tan(A)(tan(B)}\\\\\\tan(9x+5x)=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}\\\\\\\large\boxed{tan(14x)}=\dfrac{tan(9x)+tan(5x)}{1-tan(9x)(tan(5x)}[/tex]

Answer:

[tex]\tan(4x)[/tex]

Step-by-Step Explanation:

Notice that this resembles the difference identity for tangent. Specifically:

[tex]\displaystyle \tan(\alpha-\beta)=\frac{\tan(\alpha)-\tan(\beta)}{1+\tan(\alpha)\tan(\beta)}[/tex]

So, given our equation, we can pretend that α=9x and β=5x. Therefore:

[tex]\displaystyle \frac{\tan(9x)-\tan(5x)}{1+\tan(9x)\tan(5x)}=\tan(9x-5x)=\tan(4x)[/tex]

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

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pls

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Answer:

The reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2\pi}{3}[/tex]

Required

Which represent its reference angle

The very first step is to determine the quadrant of the given angle

For better understanding;

Convert [tex]\frac{2\pi}{3}[/tex] to degrees

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2}{3} * 180[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{2 * 180}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]\frac{360}{3}[/tex]

[tex]\frac{2\pi}{3}[/tex] = [tex]120[/tex]

120 degrees in in the second quadrant; Hence, [tex]\frac{2\pi}{3}[/tex] is in the second quadrant

The reference angle of [tex]\frac{2\pi}{3}[/tex] is calculated using the following formula;

[tex]\pi - \frac{2\pi}{3}[/tex]

Rewrite [tex]\pi[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi}{3} - \frac{2\pi}{3}[/tex]

Take LCM

[tex]\pi - \frac{2\pi}{3} = \frac{3\pi - 2\pi}{3}[/tex]

[tex]\pi - \frac{2\pi}{3} = \frac{\pi}{3}[/tex]

Hence, the reference angle of [tex]\frac{2\pi}{3}[/tex] is [tex]\frac{\pi}{3}[/tex]

The reference angle for the angle 2π/3 is, π/3

Given that,

An angle is,

⇒ 2π/3

To determine the reference angle we need to find the quadrant of the given angle.

For this, we can convert angle into degree,

2π / 3 = 2 × 180 / 3

          = 120°

Since, 120 degrees is lies in the second quadrant.

Hence, 2π/3 is in the second quadrant.

So, The reference angle is,

⇒ π - 2π/3

⇒ π/3

Therefore, The reference angle for the angle 2π/3 is, π/3

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Answer:

Parallelogram

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Answer:

Step-by-step explanation:

If we want to share £5 to the ratio of 1/3 we should follow this steps :

the answer is 1.25 and 3.75

It was obvious from the beginning that the answer would be the last one since ut had two numbers

6 ; 14

Answer:

42°

Step-by-step explanation:

These traingles are refelctions, A≅D   B≅C

Answer:

Perimeter-width=Length

Hope this helps :)

Answer:

Area- A= b (base) times h (height) divided by 2

Perimeter- P= a+b+c

Step-by-step explanation:

Answer:

246.979 ft

Step-by-step explanation:

When we draw our picture, we should be able to see that the angle of depression from the point of view is equal to the angle of elevation from the ground. We also know the height, and we are trying to find horizontal x. We must use tan∅ to solve:

tan39° = 200/x

xtan39° = 200

x = 200/tan39°

x = 246.979

Answer:

Rectangular prism, triangular prism, cylinder

Step-by-step explanation:

has base in the form of rectangle,so when cut perpendicular to base,the base as well as other faces, will be in the shape of Rectangle. Same for the triangular prism and cylinder.

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

Answer:

it will take 8 minutes

Step-by-step explanation:

Here, we want to

calculate the amount of time taken to fill the tank given the total amount of water in the tank.

Mathematically, the formula go

use is ;

w= 100 + 55t

540 = 100 + 55t

55t = 540-100

55t = 440

t = 440/55

t = 8

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

The function you seek to minimize is

()=3‾√4(3)2+(13−4)2

f

(

x

)

=

3

4

(

x

3

)

2

+

(

13

−

x

4

)

2

Then

′()=3‾√18−13−8=(3‾√18+18)−138

f

′

(

x

)

=

3

x

18

−

13

−

x

8

=

(

3

18

+

1

8

)

x

−

13

8

Note that ″()>0

f

″

(

x

)

>

0

so that the critical point at ′()=0

f

′

(

x

)

=

0

will be a minimum. The critical point is at

=1179+43‾√≈7.345m

x

=

117

9

+

4

3

≈

7.345

m

So that the amount used for the square will be 13−

13

−

x

, or

13−=524+33‾√≈5.655m

Answer:

0.3007 or 30.07%

Step-by-step explanation:n = 6sample proportion: signified by ρSample 1: 4 → 4/6 = 0.67Sample 2: 1 → 1/6 = 0.17Sample 3: 9 → 9/6 = 1.50

multiply the sample proportion by 1-ρSample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

divide the result by n. n = 6Sample 1: 0.2211/6 = 0.03685Sample 2: 0.1411/6 = 0.02352Sample 3: -0.75/6 = -0.125

square root of the quotient to get the standard error.Sample 1: √0.03685 = 0.1919Sample 2: √0.02352 = 0.1534Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Given:

250 sheep in a 40-acre pasture.

250/40 = 6.25 or 6 sheep per acre

n = 6

Sample 1: 4 → 4/6 = 0.67

Sample 2: 1 → 1/6 = 0.17

Sample 3: 9 → 9/6 = 1.50

Sample 1: 0.67(1-0.67) = 0.67(0.33) = 0.2211

Sample 2: 0.17(1-0.17) = 0.17(0.83) = 0.1411

Sample 3: 1.50(1-1.5) = 1.5(-0.5) = -0.75

Sample 1: 0.2211/6 = 0.03685

Sample 2: 0.1411/6 = 0.02352

Sample 3: -0.75/6 = -0.125

Sample 1: √0.03685 = 0.1919

Sample 2: √0.02352 = 0.1534

Sample 3: √-0.125 = invalid

z value 95% confidence 1.96.

Sample 1: 1.96 * 0.1919 = 0.3761 or 37.61% margin of error

Sample 2: 1.96 * 0.1534 = 0.3007 or 30.07% margin of error

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The question is incomplete! Complete question along with answer and step by step explanation is provided below.

Question:

Davis wants to pour 5 gallons of punch into ½ gallon jugs How many jugs will he need?

A. 2½

B. 5½

C. 10

D. 15

Answer:

Number of jugs = 10

Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Step-by-step explanation:

David has 5 gallons of punch that he wants to pour into jugs.

The capacity of 1 jug is ½ gallon.

The required number of jugs may be found as

Number of jugs = gallons of punch/capacity of jug

For the given case, we have

Gallons of punch = 5

capacity of jug (in gallons) = ½ = 0.5

So, the required number of jugs is,

Number of jugs = 5/½

Number of jugs = 5/0.5

Number of jugs = 10

Therefore, Davis will need 10 jugs to pour 5 gallons of punch into ½ gallon jugs.

Answer:

y=3x+6

Step-by-step explanation:

When creating a slope equationg like this one the slope will always have the x next to it and the y intercept will always be on the end

Answer:

20 cm

Step-by-step explanation:

64/3.2 km = 20cm

Answer:

An egg has to be broken before you use it

Answer:

los pala de depotistas ingrese banca para tomar la decision

Step-by-step explanation:

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

Answer:

Step-by-step explanation:

divide 4 and 2 then add 2 and 1

Answer:

y = - 4x + 17

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (2, 9)

m = [tex]\frac{9-1}{2-4}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4, thus

y = - 4x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (4, 1) , then

1 = - 16 + c ⇒ c = 1 + 16 = 17

y = - 4x + 17 ← equation of line