Seetha, the receptionist of Mind Zone – a mind game center, recorded the number of visitors per day in her logbook and calculated the average per week. While doing the monthly updates she noticed that the data on a particular day is missing as water spilled over it.

What would be the missing value?

In a circle, angles subtended by the same arc at the circumference are equal. This means that angles in the same segment are equal.

Using this equation, we can create the following equation:

[tex]4x=3x+10[/tex]

For which we can solve to get:

[tex]x=10[/tex]

Hope this helps!

Answer:

rectangular is 114ft and triangular is 112ft

Step-by-step explanation:

Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT

Since VR = length * width and height

VR = 6*x*3

VR = 18x ft³

Also VT =  Length *width * Height/2

VT = (7 * x * 4)/2

VT = 28x/2

VT = 14xft³

Since VR = 32 + VT

18x = 32+(14x)

collect like terms

18x-14x = 32

4x = 32

divide both sides by 4

4x/4 = 32/4

x = 8

Volume of the rectangular prism = 18x

Volume of the rectangular prism = 18*8

Volume of the rectangular prism = 144ft³

Volume of the right triangular prism = 14x

Volume of the rectangular prism = 14*8

Volume of the rectangular prism = 112ft³

Step-by-step explanation:

We know the quadratic formula, which is :

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }}} \\ \\ [/tex]

Here,

So,

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ - ( - 6) \pm \sqrt{ {( - 6)}^{2} - 4(1)( - 5) } }{2(1)} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 - 4( - 5) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 36 + 20 } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 56 } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(28) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(14) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2(2)(2)(7) } }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm \sqrt{ 2} . \sqrt{2} . \sqrt{2 . 7} }{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \qquad{ \sf{x = \frac{ 6 \pm 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

Now, Separating the solutions :

[tex] \\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 + 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = 3 + \sqrt{14}}}}\\ \\ [/tex]

[tex]\\ {\longrightarrow \qquad{ \sf{x = \frac{ 6 - 2 \sqrt{14} }{2} }}} \\ \\ [/tex]

[tex] {\longrightarrow \qquad{ \sf{x = 3 - \sqrt{14}}}}\\ \\ [/tex]

The height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Since the base of a cylinder is circular in shape, the circumference is expressed as;

C = 2πr

Given that the circumference of the base is 84 in, we can now calculate the radius r.

C = 2πr

84in = 2 × 3.14 × r

84in = 6.28 × r

r = 84in / 6.28

r = 13.4in

Now, the Radius of the cylinder r = 13.4in and its volume = 20214in³, we substitute this values into the expression for volume of cylinder above to find the height h.

V = π × r² × h

20214in³ = 3.14 × ( 13.4in)² × h

20214in³ = 3.14 × 179.56in² × h

20214in³ = 563.8in² × h

h = 20214in³ / 563.8in²

h = 35.9in

Therefore, the height of the stump tree which can be modeled by considering it as a right cylinder is 35.9 inches.

Learn more about volume of cylinder here: brainly.com/question/16788902

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Answer:

i dont know

Step-by-step explanation:

hope you find you answer

Answer:

Hi good job

Step-by-step explanation:

Using sampling concepts, it is found that this is an example of a random sample.

Samples may be classified as:

In this problem, one winner is chosen at random from all the participants, hence random sampling is used.

More can be learned about sampling concepts at https://brainly.com/question/25122507

Answer:

See below ....question is a bit unclear

Step-by-step explanation:

He makes  133.33 per hour with shocks and only 100 per hour with brakes.

he should only do 36/3 = 12 shock jobs per week and no brakes.

  if he HAS to do at LEAST 3 brake jobs

     then he should do   3 brakes  and 10 shocks  

Answer:

Step 1

According to given details

Number of delivered pizzas at the weekly meeting=5

Number of slices in one pizza =8

(a)

Now evaluate total number of slices

Number of slices in one pizza =8

Total slices =8x5

=40 slice

(b)

Yes, we can find more than one way

= 5 ÷ 1/8

= 5x8/1

=40/1

Answer:

Step-by-step explanation:

5a)→Solution,

[tex]\hookrightarrow 46+90=x[Sum\: of\: interior \:angle\: is\: equal\: to \:exterior\:angles]\\\\\hookrightarrow x=136[/tex]

5b)→Solution,

77+x=180

x=180-77

x=103

The two other two vertices will be (6, 10) and (8, 10)

A rectangle is a 2-dimensional shape with equal opposite sides. The formula for calculating the area is given as:

Area = length * width

Given;

Area = 18 square units

Length = x2 -x1 = 8 -6
length = 2 units

Determine the width

Width = A/l

Width = 18/2
Width  = 9 units

Hence the two other two vertices will be (6, 10) and (8, 10)

Learn more on area of rectangle here: https://brainly.com/question/2607596

Answer:

[tex]x = \geqslant 34[/tex]

Step-by-step explanation:

x is greater than or equal to 34, because the illustration shows, that it can go beyond 34. The filled in dot also means that x can also be equal to 34. (i hope i explained it in a good way)

Answer:

A)

Step-by-step explanation:

The experimental probability on 'A' is higher than the theoretical probability  of landing on 'A'.

Answer:

D) all real numbers except x = 6

Step-by-step explanation:

If there is a solid line or dot at an x value, then it is included in the domain. Since there are open dots at x = 6, that means it is not included in the domain. With that being said, the domain can be written as:

(-∞, 6)∪(6, ∞)

Hope this helps!

The work is equal to the dot product of the force and displacement vectors:
W = (115 i + 350 j) • (-13 i + 15 j)

W = 115 × (-13) + 350 × 15

W = 3755

Answer:

A = 113.04 ft² or 36π ft²

Step-by-step explanation:

Area of a circle: πr²

radius: d/2 (12/2 = 6 ft)

π (pi) = 3.14

Solve:

A = πr²

A = 3.14(6)²

A = 3.14(36)

A = 113.04 ft² or 36π ft²

Hope this helps!

Answer:

[tex]ab( {a} ^{2} + {b)}^{2} \\ [/tex]

[tex] {a}^{ 3} b + a {b}^{3} [/tex]

Answer:

13n+20 is the correct answer to ypur question

Step-by-step explanation:

Answer:

approximately 300 yards per minute

Step-by-step explanation:

Answer:

0? There's no yellow.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Hardware store:

4 bulbs = $20

1 bulb = $20 / 4 = $5

Grocery store:

6 bulbs = $24

1 bulb = $24 / 6 = $4

The difference in price = $5 - $4 = $1

The grocery store sells at the lesser price.

So, the grocery store charges $1 less per light bulb than the hardware store.

Answer:

1/89

Step-by-step explanation:

Two digit numbers include all numbers from 10 to 99. 99-10 = 89. Therefore the probability that Simon guesses the number correctly on the first try is 1 out of 89 which can be written as 1/89.

Answer:

D. 6(9 + 5)

Step-by-step explanation:

Answer:

1/2, 7/12, 5/8, 3/4.

Step-by-step explanation:

I did that in ascending order.

find circumference of the circle whose parameter is 14 cm

Find the circumference of a circle with diameter 14 cm

[tex] \sf\longmapsto \: \frac{371}{36} [/tex]

Perimeter of a triangle = Sum of the length of the three sides

perimeter of the given triangle = 11/3 + 15/4 + 26/9

( LCM of 3 , 4 and 9 is 36 )

[tex]\sf\longmapsto \: \frac{132 \: + \: 135 \: + \: 104}{36} \: \: \: [/tex]

[tex]\sf\longmapsto \: \frac{371}{36} \: cm \: [/tex]

♧ Therefore, the perimeter of a triangle is 371/36 cm

Answer:

53 degrees

Step-by-step explanation:

since 180 is a straight line and 90 is half of that, all you need to do is take 37 away from 90 and you get 53

The equivalent degree of the of the expression is 53 degrees .

Given,

180° - 90° - 37°

Now,

The equivalent value of the expression :

180° - 90° - 37°

Firstly compute the like terms,

-90° - 37°

= -127°

Now,

180° - 127°

= 53°

Know more about degrees,

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Answer:

the correct answers are A, C, and D

Step-by-step explanation:

Those are the only ones that make sense enough!

What is the average height of 6th grade students?

And

What was the low temperature...?

Those responses will be given as numerical values

E.G. 162cm or 2 degrees Celsius (2*C)

(Edit: the first & third options are the correct ones)

Hope this helps!