Emile wants to lay a garden around his restaurant. The restaurant is in the shape of a square with side length of 15 feet. What is the length of the garden required?

Answer:

15.75 ft^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h where r is the radius and h is the height

We know the diameter is 3 so the radius is 1/2 the diameter or 3/2

The height is 7 and we will use 3 for pi

V = 1/3 (3) (3/2)^2 *7

V = 15.75 ft^3

The equation your teacher has given you is an identity. We can prove this by transforming one side into the other. I'll transform the right hand side (RHS) into the left hand side (LHS).

This means I'll keep the LHS the same for each line. I'll only change the RHS. The goal is to get the same thing on both sides (I could go the other way around but I find this pathway is easier).

[tex]\tan^4(\theta)+\sec^2(\theta) = \sec^4(\theta)-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\sec^2(\theta)\right)^2-\tan^2(\theta)\\\\\tan^4(\theta)+\sec^2(\theta) = \left(\tan^2(\theta)+1\right)^2-\tan^2(\theta) \ \text{ ... see note 1}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+2\tan^2(\theta)+1-\tan^2(\theta)\\\\[/tex]

[tex]\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\tan^2(\theta)+1\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta)-1+1 \ \text{ ... see note 2}\\\\\tan^4(\theta)+\sec^2(\theta) = \tan^4(\theta)+\sec^2(\theta) \ \ \Large \checkmark\\\\[/tex]

So because we've arrived at the same thing on both sides, the original equation is an identity. It always true no matter what theta value you plug in, as long as theta is in the domain. So something like theta = pi/2 won't work because tan(pi/2) = undefined and sec(pi/2) = undefined. It's based on how cos(pi/2) = 0 and this value is in the denominator. Dividing by zero is undefined.

Consequently, this means all solutions to cos(theta) = 0 will be excluded from the domain. Everything else works.

Answer:

enlarge it

Step-by-step explanation:

I ft = 12 inches

Thus 8 in → 12 in makes the transformation larger.

Thus going from 8 in to 12 in is an enlargement

Answer:

0.23923444976

Answer:

108 squared centimeters

Step-by-step explanation:

Let's exchange π for 3:

area = πr^2

        = 3r^2

Now, as you can see, the radius of this circle is 6. Let's plug in the value of r:

area = 3r^2

        = 3 · 6^2

Simplify 6^2:

area = 3 · 6^2

        = 3 · 36

Multiply 3 by 36:

area = 3 · 36

area = 108

108 squared centimeters

Answer:

-2

Step-by-step explanation:

-10 x 12 x -4 + 40 x -2 x 6 - 2

-120 x -4 - 80 x 6 - 2

480 - 480 - 2

0 - 2

-2

Answer:

i) where the digits can repeat

1. 30

2. 50

3. 33

4. 55

5. 35

6. 53

ii) where the digits cannot be repeated

1. 30

2. 50

3. 35

4. 53

Answer:

χ² = 6.75

χ² Critical = 11.07

Step-by-step explanation:

Given the data :

Expected winnings ;

1/n * total number of wins

Total number of wins = 240

n = number of starting positions = 6

Expected winnings = 1/6 * 240 = 40

Using χ² test :

χ² = Σ(O - E)² / E

O = Observed ; E = Expected

χ² = (32 - 40)^2 / 40 + (33 - 40)^2 / 40 + (45 - 40)^2 / 40 + (44 - 40)^2 / 40 + (50 - 40)^2 / 40 + (36 - 40)^2 / 40

= 6.75

χ² Critical at α = 0.05 ; df = n - 1 ; df = 5

χ² Critical = 11.07

Since χ² < χ² Critical ; WE fail to reject H0.

Answer:

12672 feet

Step-by-step explanation:

1 mile=5280 feet

2.4 miles=5280*2.4=12672 feet

Answer:

Awnser: 12,672 feet

Step-by-step explanation:

1 mile is 5280 feet

2 miles is 10560 feet

.4 miles is 2112 feet

10560+2112 = 12,672 feet

Answer jose needs to get 7 more A's because 5+7=12 so if 50+70=120 then he will need to get 7 more a's hope this helps :)

Step-by-step explanation:

Answer:

He needs 7 A's.

Step-by-step explanation:

The pictures.

Hope this helps!!! :)

9514 1404 393

Answer:

  27.932 in

Step-by-step explanation:

The initial angle (or height) is not shown, so we have assumed it is 30°. The equation for the height of the valve cap can be written as a function of angle:

  y = 15.375 +14.5·sin(x +30) . . . . . . where x is in degrees

The angle measured from the +x axis is already 30° when the rotation angle is zero. Evaluating the above equation with x = 390° gives an angle of 420°, or 60° beyond one full rotation.

  y = 15.375 +14.5·sin(60°) ≈ 27.932 . . . . inches above the ground.

The valve cap is 27.932 in. above the ground.

Answer:

Step-by-step explanation:

Find the slope of the line AB.

The slope:

Since the altitude is perpendicular to AB, it has a slope of -2.

The line with the slope of -2 and passes through point C(6, 16).

Use point-slope equation to find the line:

A = 2, B = 1, C = 28

Answer:

Solution given:

A(7,9)

B(11,11)

C(6,16)

Slope of AB=[tex]\frac{11-9}{11-7}=\frac{2}{4}=½[/tex]

since altitude is perpendicular to it .

so its slope becomes negative reciprocal to the slope of base

so

slope of altitude(m) =-2

now

equation of a line passing through C(6,16) perpendicular to its base is:

By using formula

[tex]y-y_{1}=m(x-x_{1})[/tex]

y-16=-2(x-6)

solve it

y-16=-2x+12

y+2x=12+16

in the form of Ax +By=C is:

2x+y=28

:.

B=1

C=28

Answer:

B.

Step-by-step explanation:

Table B has x values that go to multiple y values. A function has inputs that only go to one output.

Answer:

29.4 m/s

Step-by-step explanation:

Answer:

x = -1

Step-by-step explanation:

14x + 2 = 9x -3

Transpose

14x -9x = -3 -2

5x = -5

x= -5/5

x = -1

Answer:

x = -1

Step-by-step explanation:

[tex]14x+2=9x-3\\\\5x+2=-3\\\\5x=-5\\\\x=-1[/tex]

Formula for the volume of a sphere: V = 4/3 x pi x r^3

V = 4/3 x pi x 6^3

V = 4/3 x pi x 216

V = 288 pi in^3

Hope this helps!

Answer:

288 pi in ^3

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3 where r is the radius

V = 4/3 pi *( 6)^3

V = 4/3  pi (216)

V = 288 pi in ^3

Answer:

sum of the interior angles x and y gives the exterior angle z

(4n-18)°+(n+8)°=(133-6n)°

4n°-18°+n°+8°=133°-6n°

4n°+n°-18°+8°=133°-6n°

5n°-10°=133°-6n°

5n°+6n°=133°+10°

11n°=143°

11°n/11°=143°/11°

n=13

exterior angle=133-6×13

=133-78

=55

9514 1404 393

Answer:

  +24

Step-by-step explanation:

The number of steps run can be represented by the integer +24.

Answer:

B. SAS

Step-by-step explanation:

Ratio of sides equal:

• 4/2= 6/3

So the 2 sides are congruent and also share same angle between.

• B. SAS is the similarity reason

Answer:

8= coefficients.

4ab=constant term

5b=number of terms

Step-by-step explanation:

when terms are being added and substrated in algebra expression, we can sometimes simplify the expression to produce an expression with fewer terms

LET ME KNOW IF IT HELPS

Answer:  sqrt(x+1)+4

This is the same as writing [tex]\sqrt{x+1}+4[/tex]

The +4 is not under the square root

==========================================================

Explanation:

g(x) is the same as y, since they're both outputs of a function

So we have the starting equation y = (x-4)^2 - 1

Swap x and y and solve for y to get the inverse.

y = (x-4)^2 - 1

x = (y-4)^2 - 1

x+1 = (y-4)^2

(y-4)^2 = x+1

y-4 = sqrt(x+1) ... see note below

y = sqrt(x+1)+4

Note: Recall that [tex]x \ge 4[/tex] and we swapped x and y. This ultimately means [tex]y \ge 4[/tex] and this only occurs if we picked the positive version of the square root (ignoring the negative version).

Answer:

Step-by-step explanation:

i. 5/12

ii. 1/8

iii. 11/24

iiii. 7/8

Answer:

B: 1/6

Step-by-step explanation:

The probability a boy will get picked who owns what is 5 on the picture, out of 30 choices.  So divide 30 by 5 and get your answer :)

Please mark brainiest

Answer:

The third one

Step-by-step explanation:

Just took the quiz

Answer:

3

Step-by-step explanation:

The value of x is 3 if the volume of the triangular prism is 54 cubic units.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  volume of the triangular prism is 54 cubic units.

We have to find the value of x

The volume of the prism with triangular base is 54 unit³.

The base is a triangle with,

base = 4 units

height = x units

height of the prism = 3x

V= 6x²

54= 6x²

Divide both sides by 6

x² = 9

x=3

Hence, the value of x is 3 if the volume of the triangular prism is 54 cubic units.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

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Answer:

Graph is attached below with coordinated points of (3,3),  (-3,2),  (-2,-3),  (-3,-2),  (0, -4),  (-2,0),  (4,0), and (0,0)

Step-by-step explanation:

Step-by-step explanation:

Product property

Quotient property

Power property

Negetive exponent property