A semi-circle sits on top of a rectangle to form the figure below. Find its area and perimeter. Use 3.14 for .
4 in.
6 in.
O A = 38.13 square inches, P = 32.84 inches
O A = 80.52 square inches, P = 32.84 inches
O A = 38.13 square inches, P = 23.42 inches
O A = 80.52 square inches, P = 23.42 inches

A Semi-circle Sits On Top Of A Rectangle To Form The Figure Below. Find Its Area And Perimeter. Use 3.14

Answers

Answer 1

9514 1404 393

Answer:

  (c)  A = 38.13 square inches; P = 23.42 inches

Step-by-step explanation:

The radius of the circle is half the diameter, so is 3 inches. This means the entire figure will fit in a rectangle 6 inches wide and 4+3 = 7 inches high. The perimeter of such a rectangle is ...

  P = 2(L+W) = 2(7+6) = 26 inches

The area of that rectangle is ...

  A = LW = (7)(6) = 42 square inches

Then area of the given figure is less than 42 square inches, and the perimeter is less than 26 inches. The only answer choice that matches these bounds is ...

  A = 38.13 square inches; P = 23.42 inches


Related Questions

what is 12-(-3)-2(4)

Answers

Answer:

7

Step-by-step explanation:

12-(-3)-2(4)

12-(-3)-8

15-8=7

12- (-3) - 2(4) = 12 + 3 - 8 = 7
Ok done. Thank to me :>

The number of gold fish that can live in a small tank is at most 6.
Let g be the number of goldfish that can live in the tank.
Which inequality represents this situation?

g<6 g≥6 g>6 g≤6

Answers

Answer:

g≤6

Step-by-step explanation:

g≤6 inequality represents the given situation of at most.

What is inequality?

" Inequality means an algebraic expression which represents the relation between two situation or values with the sign of > , < , ≥, ≤."

Term used

At most means 'less than to equals to' ( ≤ )

According to the question,

Given'

'g' represents the number of gold fish live in the tank

As per condition of inequality given,

Number of gold fish can live in small tank at most 6

Represent as the  term used we get,

Inequality is

g ≤ 6

Hence, g≤6 inequality represents the given situation of at most.

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What is 29−−√?

What 2 numbers does it fall between when placed on a number line?

Question 5 options:

Between 5 - 5.5


Between 4 - 4.5


Between 4.5 - 5


Between 5.5 - 6

Answers

Between 5 - 5.5
Hope this helps.

Find the dimensions of the rectangle with maximum area that can be inscribed in a circle of radius 10.

Answers

Answer:

Step-by-step explanation:

That will be a square with a diagonal of 20

side length of 20sin45

and area of (20sin45)² = 200 units²

prove it you say?

Area of a rectangle is base times height

A = bh

With a radius of 10, the diagonals of any rectangle inscribed will be 20 units

20² = b² + h²

h = [tex]\sqrt{400 - b^2}[/tex]

A = bh

A = b[tex]\sqrt{400 - b^2}[/tex]

Area will be maximized when the derivative is set to zero

           dA/db = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

                   0 = [tex]\sqrt{400 - b^2}[/tex] - b²/ [tex]\sqrt{400 - b^2}[/tex]

b²/[tex]\sqrt{400 - b^2}[/tex] =  [tex]\sqrt{400 - b^2}[/tex]

                  b² = 400 - b²

                2b² = 400

                  b² = 200

                  b = [tex]\sqrt{200}[/tex]

h = [tex]\sqrt{400 - b^2}[/tex]

h = [tex]\sqrt{400 - \sqrt{200}^2 }[/tex]

h = [tex]\sqrt{200}[/tex]

A = bh

A =  [tex]\sqrt{200}[/tex][tex]\sqrt{200}[/tex]

A = 200 units²

3 movie tickets cost 3690$. At this rate, the cost per ticket is $....

Answers

Answer: The cost per ticket is $1,230.

Explanation: 3,690/3 = 1,230.

Answer: The cost for each ticket is $1,230.

Step-by-step explanation:

What is the circumference of the circle shown below? Use
3.14 for it, round your answer to the nearest tenth.

A) 4.4 yd
B) 8.8 yd
C) 43.9 yd
D 87.9 yd

Answers

Answer:

Its B

Step-by-step explanation:

A number x is no less than 18

Answers

Answer:

x>18

Step-by-step explanation:

That's the answer if x can't be 18.

Answer:

x ≥ 18

Step-by-step explanation:

I'm not really sure how to explain how it's correct but, the given statement can also be written as " a number, x,  can be equal or more than 18

Given: -3x+y=1. Write the equation In general form Ax + By + C =0.
3x - y = -1
3x = y + 1 = 0
-3x + y -1=0​

Answers

The given equations are 3x + y - 1 = 0 and 6x + 2y - 2 = 0.

So,

Equation I = (3x + y = 1) and

Equation II = (6x + 2y = 2)

= { 2(3x + y) = 2}

= 3x + y = 2/2

= 3x + y = 1

So, The given equations are 3x + y = 1 and 3x + y = 1.

Thus, there is one equation in two variables.

So, the given equations have an infinite number of solutions.

Answer:

1st option; 3x-y=-1

Step-by-step explanation:

-3x + y = 1

we can divide through by -1 so that the 'x' value is positive:

3x - y = -1

If y = 6, what is the value of x given 8x + 5y = 62?
Answer:

Answers

The answer: y = 6 ⇔ x = 4

ok done. Thank to me :>

Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief​

Answers

Answer:

0.65 cents

Step-by-step explanation:

12x4=48 total

31.20/48 = 0.65 cents each

Find the surface area of the rectangular prism.
6 yd
2 yd
7yd

Answers

Answer:

136

Step-by-step explanation:

The formula you use is as follows:

A=2(WL+HL+HW)

You plug in each number to get this equation

A=2[(6*7)+(2*7)+(2*6)]

A=2(42+14+12)

A=2(68)

A=136

A BCC professor decides to grade his class as following: 20 percent for homework assignments, 10 percent for quizzes, 25 percent for a midterm, and 45 percent for the final exam. A student receives 90 for homework, 95 for the quizzes, 85 for the midterm and 84 for the final exam. What will be the student’s class grade?
Class grade: ?

Answers

Answer:

86.55%

Step-by-step explanation:

Basically what you would do is take each percentage and turn it into decimal percent. after that, you multiply it with the respective numbers, like:

90 × 0.20= 18

95 × 0.10= 9.5

85 × 0.25= 21.25

84 × 0.45= 37.8

Adding these numbers together, you could get 86.55, or 86.55%.

solving for G

goal is to isolate the variable by undoing in the reverse of the order of operation.

4=2(3g+2)

Answers

Answer:

g = 0

Step-by-step explanation:

4 = 2(3g + 2) ← divide both sides by 2

2 = 3g + 2 ( subtract 2 from both sides )

0 = 3g , then

g = 0

Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?

Answers

Answer:

20 quarters quarters 14 nickles

Please help me it’s due in 12 minutes also pls explain why

Answers

Root 25 is the rational number as it equals 5

Find the amount that results from a $900 investment invested at 7% interest,
compounded continuously, after 4 years.

Answers

Omg I’m sooooo sooo sorry I don’t know how to calculate I tried soo sorry

19. Ram and Rahim are partners in a firm sharing profits in the ratio of 3: 2. Kabir is admitted as a partner for 1/5th share of profits. Machinery would be appreciated by 10% (Book Value of 80,000) and Building would be depreciated by 20% (Book Value of 2,00,000). Unrecorded Debtors of 1,250 would be brought to books. There is a liability of 2,750 included in Sundry Creditors that is not to be paid. What will be the Gain (Proñt Loss on revaluation? (a) Loss of 28,000. (c) Profit 28,000. (6) Loss 40,000. (d) Profit of 40,000.​

Answers

Answer:

make me brainlist

Step-by-step explanation: firm sharing profits and losses in the ratio of 3

2. From Ist April, 2020 they decided to share the future profits equally. On this date, the General Reserve

showed a balance of 1,60,000; Revaluation of fixed assets resulted into a gain of "1,02,000 and stock resulted

to a loss of 22,000. On this date, the goodwill of the firm was valued at $3,60.000

Pas necessary journal entries for the above transactions on reconstitution of the form

Bolutions

What is (are) the x-value(s) that solve the system of equations y = x and y = 2x – 1?

Answers

Answer:

y=1                 x=1

y = 2x – 1

replace y with x

x=2x-1

x-2x =  - 1

-x = -1

x= 1

y=x =1

Tamika ran 90 meters in 16.1 seconds. Enrique ran 90 meters in 17.0 seconds. Who had the fastest time, Tamika or Enrique? A. Enrique B. Tamika

Answers

The answer is Tamika

How can the equation of a parabola be derived when given the focus and the directrix?


Answers

Answer:

If the focus is to the right of the directrix, then the parabola opens to the right and p>0 . If the focus is to the left of the directrix, then the parabola opens to the left and p<0 .

HOPE ITS HELP

On a​ team, 4 girls and 3 boys scored a total of 57 points. The difference between the number of points scored by the 4 girls and the number of points scored by the 3 boys is 15. Each girl scored the same number of points and each boy scored the same number of points. Find the number of points scored by each girl and each boy.

Each girl scored (BLANK) points.

Answers

Answer:

Each girl scores 8 points while each boy scores 4 points

Step-by-step explanation:

Let the number of point scored by the 7 girls and 2 boys be x and y respectively.

Thus, since 7 girls and 2 boys scored a total of 64 points, then;

7x + 2y = 64 - - - (1)

Also, difference between the number of points scored by the 7 girls and the number of points scored by the 2 boys is 48. Thus;

7x - 2y = 48 - - - (2)

Add eq(1) to (eq 2) to get;

14x = 64 + 48

14x = 112

x = 112/14

x = 8

Put 8 for x in eq(1) to get;

7(8) + 2y = 64

56 + 2y = 64

2y = 64 - 56

2y = 8

y = 8/2

y = 4

Thus,each girl scores 8 points while each boy scores 4 points

hope this helps .

Please look at picture for question

Answers

Answer:

a=0.62

b=7/9

c=10/9

A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch. How much does it cost to fund 4.5 inches of the construction?

Answers

Answer:

=$114.750

Step-by-step explanation:

Length of new board cast tower=4.5 Inches

Cost of construction(per inch)=$25.50

To find cost=?

                 =25.50x4.5

                 =$114.750

                      ...................................................................................

The required cost of the construction of a 4.5-inch tower is $114.75.

Given that,
A ratio station collects donations for a new board cast tower. The cost of construction is $25.50 per inch, how much it cost to fund 4.5 inches of the construction is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
The cost of construction is $25.50 per inch.
The cost of 4.5 inches of construction = 25.50 × 4.5 = $114.75.

Thus, the required cost of the construction of a 4.5-inch tower is $114.75.

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I need a step by step explanation as well as work

Answers

Answer:

  x = 2

  m = 15/4

  a = 5/4

Step-by-step explanation:

When the "base" lines are parallel, all of the triangles are similar. That means corresponding segments are proportional, including corresponding parts of segments.

We see that x corresponds to a partial segment marked 3. That same top-bottom correspondence has another pair of segments marked 2 and 3. That means x=2.

  x/3 = 2/3   ⇒   x = 2

__

The segments marked 'm' and 'a' are "whole side" segments, so we need to put those in proportions with corresponding whole sides. If we use the bottom side, we find ...

  a/3 = 5/(3+6+3) = 5/12   ⇒   a = 5/4 = 1 1/4 . . . . . multiply by 3

and

  m/(6+3) = 5/12   ⇒   m = 15/4 = 3 3/4 . . . . . multiply by 9

__

  x = 2

  m = 15/4

  a = 5/4

help guys HURRY!!! plsss! :D

Answers

Answer:

B. x+240=425

Step-by-step explanation:

Solve each equation for x.
a(x-b)+bx+c=a+b

Answers

Answer:

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Step-by-step explanation:

a(x−b)+bx+c=a+b

Step 1: Add ab to both sides.

−ab+ax+bx+c+ab=a+b+ab

ax+bx+c=ab+a+b

Step 2: Add -c to both sides.

ax+bx+c+−c=ab+a+b+−c

ax+bx=ab+a+b−c

Step 3: Factor out variable x.

x(a+b)=ab+a+b−c

Step 4: Divide both sides by a+b.

[tex]\frac{x(a+b)}{a+b} =\frac{ab+a+b-c}{a+b}[/tex]

[tex]x=\frac{ab+a+b-c}{a+b}[/tex]

Hope this helped! :)

Admission to the zoo costs $15 per person. Which graph correctly represents the total cost for a group to visit the zoo? Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 30), (3, 45), (4, 60), (5, 75), (6, 90), and (7, 105). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 15), (3, 15), (4, 15), (5, 15), (6, 15), and (7, 15). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (2, 16), (3, 17), (4, 18), (5, 19), (6, 20), and (7, 21). Total Cost of Admission to the Zoo On a coordinate plane, the x-axis is labeled visitors and the y-axis is labeled Dollars. Points are at (1, 15), (1, 30), (1, 45), (1, 60), (1, 75), (1, 90), (1, 105).

Answers

Admission to the zoo costs $15 per person.

The graph y = 15x correctly represents the total cost for a group to visit the zoo.

Given;

Admission to the zoo costs per person = $15

Let:

The total number of people visiting the zoo = x

The total cost for a group to visit the zoo = y

So,  y ∝ x

y = 15x

Therefore, the graph y = 15x correctly represents the total cost for a group to visit the zoo.

Answer:

A

Step-by-step explanation:

Problem Situation: Ben buys a table for $240. He also buys 6 chairs that all cost the same amount. His total cost is $720. What is the price of one chair? Use the drop-down menus to complete parts A and B below.

Answers

The price of one chair Ben bought is $80 and he bought 6 chairs in total.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given,  Ben buys a table for $240. He also buys 6 chairs that all cost the same amount.

Assuming each chair costs $x and his total cost is $720.

240 + 6x = 720.

6x = 720 - 240.

6x = 480.

x = 80

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clothing store sells t shirt in only three colors red blue green the colors are in the ratio of 3:4:5 if the store has a total of 60 how many blue t shirt

Answers

Answer:

Step-by-step explanation:

red/blue = 3/4 and you get blue/green = 4/5

= 60/4 = 15

you have 15 red shirts, 20 blue shirts, and 25 green shirts.

15/20 = 3/4

20/25 = 4/5

if you simplify 15/20, you will see that it is equivalent to 3/4

if you simplify 20/25, you will see that it is equivalent to 4/5.

please help will brain list if correct no links please ​

Answers

Answer:

C

Step-by-step explanation:

the angle opposite of it is 30

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