Complete the table below. Show all your work.

We are given that :

Using Formulas:

Area of rectangle:

[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak {length\times breadth }}}[/tex]

Area of semicircle:

[tex] \quad\hookrightarrow\quad{\pmb{ \mathfrak{ \dfrac{\pi r^2 }{2}}}}[/tex]

Here, we can know that the figure is composed of one rectangle and one semicircle. Therefore by combining the areas of rectangle and circle and taking the length of rectangle as a variable , we will finds its value ;

[tex] \quad\dashrightarrow\quad \sf {Area_{\tiny { total}} = Area_{\tiny {rectangle}}+ Area_{\tiny {semicircle}}}[/tex]

[tex] \quad\dashrightarrow\quad \sf {A = ( l \times b ) + \dfrac{\pi r^2 }{2} }[/tex]

[tex] \quad\dashrightarrow\quad \sf {41.4 = ( l \times 4 ) +\dfrac{3.14\times 2^2}{2} }[/tex]

[tex] \quad\dashrightarrow\quad \sf { 41.4= ( l \times 4 )+ \dfrac{ 3.14\times 4}{2}}[/tex]

[tex] \quad\dashrightarrow\quad \sf { 41.4=( l \times 4 )+ \dfrac{12.56}{2}}[/tex]

[tex] \quad\dashrightarrow\quad \sf { 41.4= (l \times 4 )+ 6.28}[/tex]

[tex] \quad\dashrightarrow\quad \sf {l \times 4 = 41.4-6.28 }[/tex]

[tex] \quad\dashrightarrow\quad \sf { l\times 4 = 35.12}[/tex]

[tex] \quad\dashrightarrow\quad \sf { l =\dfrac{35.12}{4}}[/tex]

[tex] \quad\dashrightarrow\quad \underline{\underline{\pmb{\sf {l = 8.78\:cm}}} }[/tex]

The length of the longer side of the rectangle will be 8.78 cm.

The area of a two - dimensional figure is the area that its perimeter encloses. The quantity of unit squares that occupy a closed figure's surface is its region.

On one of a rectangle's shorter sides, a semicircle is drawn. The rectangle's shorter side is 4 cm long. The figure has a surface area of 41.4 square centimeters.

Then the length of the rectangle is calculated as,

A = πr² / 2 + l × b

41.4 = (3.14 / 2) × (4/2)² + 4l

41.4 = 6.28 + 4

l = 8.78 cm

The length of the longer side of the rectangle will be 8.78 cm.

More about the area link is given below.

https://brainly.com/question/27683633

#SPJ3

Using coordinates, the field judge is exactly 5 yards in front of the ball.

These are values that show the position of an object, these values often include a number for the x-axis (horizontal axis) and one for the y-axis (vertical axis).

If we consider the ball as 0 or the starting point the coordinates are:

Learn more about coordinates in: https://brainly.com/question/13140132

Answer:

False.

Step-by-step explanation:

The formula that is used to find the area of a rectangle is given by :

A = l×b

Where,

l is length and b is breadth

If area of a rectangle is 6m², it means we need to find the factors of 6. The factors of 6 are 2 and 3. If we multiply 2 and 3, we get 6.

Other possibility can be 1 m by 6 m because if we muliply 1 m and 6 m, we get 6m².

It means there are more than one possibiliy about the length and breadth of the rectangle.

Hence, the given statement is not true.

Answer:

If they are not parallel they will cross.

The angle types that are still congruent are the angles that are the same size.

Step-by-step explanation:

Parallel lines never cross but non parallel lines cross.

Answer:

vertical ?

Step-by-step explanation:

sorry if wrong :')

i cant tell if thats a real question or not but ahhhhh thats a big number

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

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Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

it 40 super easy

Step-by-step explanation:

Answer:

Your answer is: (m-1) (m+7)

Step-by-step explanation:

Hope this helped : )

Answer:

Sure, what do you need help on?

Sol:

3x-15x=-5-9

or,-12x=-14

or,x=14/12

or,x=1.667

so, x=1.667

Answer:

[tex]3x+9=15x-5[/tex]

[tex]3x+9-9=15x-5-9[/tex]

[tex]3x=15x-14[/tex]

[tex]3x-15x=15x-14-15x[/tex]

[tex]-12x=-14[/tex]

[tex]\frac{-12x}{-12}=\frac{-14}{-12}[/tex]

[tex]x=\frac{7}{6}[/tex]

or

[tex]x=1.1666[/tex]

Answer:

88 toys

Step-by-step explanation:

If 16 percent of them are defective we want to multiply 550 by .16. This gets you 88.

Answer: The answer is 37

Step-by-step explanation:

If you subtract 71 from 108 the answer is 37

Since the angles of (x + 71)º is opposite to the same vertex to the angle of 108º, it is found that x = 37º.

Applying the equality:

[tex]x + 71 = 108[/tex]

[tex]x = 108 - 71[/tex]

[tex]x = 37[/tex]

Thus, x = 37º.

A similar problem is given at https://brainly.com/question/16742265

Answer:

See below.

Step-by-step explanation:

a) Complementary angles (= 90°)

b) ∠FMG, ∠GMC, and ∠DMC

d = rt

d/r  rt/r

d/r = t

Step-by-step explanation:

Equation for the volume of a cone is

V = (pi(r^2)h)/2

Plug in the known values to get

350 = (pi(6^2)h)/2

To find h, just isolate it by first dividing both sides by 2 and squaring 6 to get

175 = pi(36)h

Then, divide both sides by pi36 to get

h = 175/pi(36)

Answer:

anything less than 133 would be true

Step-by-step explanation:

35 ≥ 0.15m + 15

solve for m

subtract 15 from both sides

20  ≥ 0.15m

divide both sides by 0.15

133.33  ≥ m

m cannot be more than 133 minutes

Answer:

Y= -1.5x+3

Step-by-step explanation:

(Y-Y1)=m(x-x1)

0-3=m(2-0)

m= -1.5

Y= -1.5x+B

when y=3 and x=0 b=3

Answer:

A. (0,2)

Step-by-step explanation:

Answer:

$173

Step-by-step explanation:

Given the following :

Amount spent on wedding cake = $200

Amount deposited = $500

Amount spent on new books = $127

Change in savings :

Amount deposited - total amount spent

Total amount spent = ($200 + $127).= $327

Hence,

Change in saving = $500 - $327

= $173

Answer:

The y-intercept is 2 because it is on the y-axis. The y-intercept is located on the y-axis.

Answer:

0.5

Step-by-step explanation:

Considering we are given a mean and standard deviation, the distribution of the data is likely to be a normal or Gaussian distribution, i.e. a symmetrical, bell-shaped distribution of probability density, peaked at the mean;

Such a distribution has 0.5 probability each side of the mean;

So, if the mean is 200 then, the probability that the number of customers is greater than 200 (x > 200), according to this mean, is 0.5;

As a normal distribution is symmetrical, this is also the probability of a number of customers less than 200.

Answer: D

Step-by-step explanation:

Answer:p is r

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

square root of 1.19- 1.09087...- rounded to 1.1

Answer:

it is 1.1

you should use calculator

Step-by-step explanation:

:)

Answer:3/2

Step-by-step explanation:

Answer:

The value of x is equal to 1, written as x = 1.

General Formulas and Concepts:
Algebra I

Equality Properties

Terms/Coefficients

Functions

Step-by-step explanation:

Step 1: Define

g(x) = 5x + 4

g(x) = 9

Step 2: Solve for x

∴ when the function g(x) equals 9, the value of x that makes the function true would be x = 1.

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Topic: Algebra I

Answer: 30 days.

Step-by-step explanation: Figure out the least common multiple for each number.

Answer:

2

lb

,

0.05

a

,

2

,

0.1

lb

,

0.99

lb

2

,

4.18

lb

2

,

4.2

lb

2

,

2.1

lb

Step-by-step explanation: