The figure below is composed of a rectangle and two quarter circles. What is the area of the figure?

A) 132.97 cm^2
B) 94.48 cm^2
C) 75.24 cm^2
D) 209.94 cm^2

Answer: Your welcome!

Step-by-step explanation:

Triangle A prime is a reflection of triangle A across the x-axis. A reflection across the x-axis will switch the sign of the y-coordinates, leaving the x-coordinates unchanged. This means that the x-coordinates of triangle A prime are the same as those of triangle A, but the y-coordinates are opposite in sign. For example, the y-coordinate of the first point of triangle A is 3, so the y-coordinate of the first point of triangle A prime is -1.

As you can see in the diagram, the triangular prism has the following faces:

1) Two triangular faces

2) Three rectangular faces.

Surface area is the SUM of the areas of all of the faces.

Let us find these faces one by one:

1.

As you know, the area of the triangle is:

[tex]\frac{1}{2}* base*height[/tex]

Since, the base = 6 inches, and height = 4 inches;

Therefore, The area of ONE triangle = (1/2) * 6 * 4 = 12 inches squared.

In triangular prism, there are two triangles, therefore,

Two triangular faces = 2 * 12 inches = 24 inches squared --- (A)

2.

Now let us find the areas of three rectangular faces...

Since, two of the three rectangular faces are the same, therefore, we would find the area of one rectangular face, and multiple the result with two to get the total area of two rectangular faces.

Area of one rectangular face = base * height.

Since, base = 0.5 inches, height = 5 inches, therefore,

Area of one rectangular face = 0.5 * 5 = 2.5 inches squared.

Now that we have one rectangular face, therefore,

Area of two rectangular faces  = 2 * 2.5 = 5 inches squared.

The area of the third rectangular base = 6 * 0.5 = 3 inches squared

Therefore,

The area of the three rectangular faces = 5 + 3 = 8 inches squared --- (B)

Now add both "area of two triangular faces(A)" and "area of three rectangular faces(B)" to get the final surface area of the triangular prism.

Surface Area of the triangular prism = Area of Two Triangular faces + Area of Three Rectangular faces

Surface Area = 24 + 8 = 32 inches squared

The surface area of the triangular prism = 32 inches squared.

The correct option is: C

Answer:

Step-by-step explanation:

The solution is 2(5x+4)

My apologies if I am incorrect.

Add the numbers

12x+6−2x+2

12+6−2+2

Answer:

y = 48

Step-by-step explanation:

Answer:24

because it is not on the perfect square chart which only includes:

0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144

Answer:

No it is not cause if you turn the fraction to a whole number then it’s not the same

Answer:

48,153.3 mm³

Step-by-step explanation:

the battery is a cylinder

Volume of a cylinder = πr²h = π(16.5)²(56.3) = 48,153.3 mm³

Answer:

288

Step-by-step explanation:

ez

Answer: Yes, you just need to figure out what factors into the area, the factors will be your length and width (Copy and paste this)

Step-by-step explanation:

If you know the area of a rectangle, you can determine its width and length

Example 1:
Area = 18

   Figure out what factors into 18
6 x 3 = 18

W (6) x L (3) = A (18)

Example 2:

136 = A
Factors of 136  1, 2, 4, 8, 17, 34, 68, 136.

    W (8) X L (17) = A (136)

Answer:

Terrence is correct

Step-by-step explanation:

*Ambitious means to have or to show a strong desire and determination to succeed.

h0pe this helpz

Answer:

Terrence

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

20%=7

100%=35

Answer: The answer is 35

Step-by-step explanation:

Answer: The length of the extension ladder that is against the outside wall of the house is 22.58 feet.

Step-by-step explanation: When the ladder lies against a house, a right triangle is formed. You can use the numbers to calculate distance. (or just use a calculator.

Answer:

Step-by-step explanation:

To calculate markup by hand:

Determine your COGS (cost of goods sold). For example, $40.

Find your gross profit by subtracting the cost from the revenue. Our product sells for $50, so the profit is $10.

Divide profit by COGS. $10 / $40 = 0.25.

Express it as a percentage: 0.25 × 100 = 25%.

This is how to find markup... or simply use Omni's markup calculator!

The expression representing the discounted price of the item that is correct is C. The discounted price is p - 10%p, indicating that the retailer will lose 10% of his investment.

The discounted price is the selling price of an item less the discount.

The discount is usually stated in rates, showing the percentage of the reduction in the selling price.

Let the cost price = 100%

Markup = 20%

Selling price = 120% (100 + 20)

Discount = 25%

Discounted price (rate) = 120% x (1 - 25%)

= 90%

Difference between Discounted Price and the Cost Price = 10% (100% - 90%).

Thus, what the retailer loses is 10% of his investment cost, showing that Option C is correct.

Learn more about the discounted price at https://brainly.com/question/12965533.

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Answer:

The answer is D. 1.6

1.6 is more than 1 so it could not be the other 3 answers since they have a value of 1 or below.

Step-by-step explanation:

Answer

1.3n + 9.6

Step-by-step explanation:

3.4n-2.1n=1.3n

1.3n +9.6

Answer:

75%

Step-by-step explanation:

5,250 + 1,750 = 7,000

5,250/7,000 = 0.75 = 75%

Answer:

You answer should be 3%

Step-by-step explanation:

First of all, you need to take one of the numbers (I choose 5,250) and divide it by the other (1,750) and multiply by 100. Like so:

5,250÷1,750=3×100=300 so 3%

By taking the quotient between the volume of the sink and the volume for each cone, we will see that both of your answers are correct.

How many coops does Carissa need to scoop out in each case?

First, we know that the sink has a volume V =

(2000/3)*pi in^3

A) First, she uses a cone of a diameter of 4 in and a height of 8 in.

Remember that the volume of a cone of diameter D and height H is:

V = pi*(D/2)^2*H/3

Then this cone has a volume of:

V = (pi*/3)*(4in/2)^2*8in = (pi/3) 32 in^3

The number of scoops needed to completely remove the water out of the sink is given by the quotient between the two volumes, it is:

Rounding it, we get 63, so she needs to scoop 63 times.

B) This time the diameter is 8 in and the height 8in, so the volume of the cone is:

V" = (pi/3)*(8in/2)^2*8in = (pi/3)*128 in^3

This time, she needs to scoop:

Rounding to the next number we get 16, she needs to scoop 16 times.

So both the answers are correct :)

Answer:

there were 150 guests staying in caravans in 2016.

Step-by-step explanation:

Answer:

To divide 2/3 by 8, we can convert the division into multiplication by taking the reciprocal of the divisor (8) and multiplying it with the dividend (2/3). The reciprocal of 8 is 1/8, so we have:

2/3 ÷ 8 = 2/3 x 1/8

Multiplying the numerators and denominators, we get:

2/3 x 1/8 = 2/24

Simplifying the fraction, we get:

2/24 = 1/12

Therefore, 2/3 ÷ 8 = 1/12.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] ÷ [tex]\frac{8}{1}[/tex]

keep, switch, flip

[tex]\frac{2}{3}[/tex] x [tex]\frac{1}{8}[/tex]

= [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{4}[/tex]

= [tex]\frac{1}{12}[/tex]

Answer: 6 greeting cards for $23.40

Step-by-step explanation:

$13.50 / 3 = $4.50 per card

$38.25/9 = $4.25 per card

$23.40/6 = $3.90 per card

$32.80/8 = $4.10 per card

Answer:

17:23

Step-by-step explanation:

Answer:17 kids want waffles in total there are 40 kids in class so the ratio will be 17:40

Step-by-step explanation:

Hope this helps

The total cost of mulch is 757.17 dollars.

The area occupied by a rectangle within its boundary is called the area of the rectangle. The formula to find the area of a rectangle is Area = Length × Breadth.

Here, dimensions of small rectangle are length=9 ft and width=6.5 ft

Now area of a small rectangle = 9×6.5

= 58.5 square feet

Dimensions of large rectangle are length=18 ft and width=12.2 ft

Here, area of large rectangle = 18×12.2

= 219.6 square feet

Area of the mulch = 219.6-58.5 =161.1 square feet

The mulch cost $4.70 per sq. ft.

Total cost of mulch = 161.1×4.70

= $757.17

Therefore, the total cost of mulch is 757.17 dollars.

To learn more about the area of a rectangle visit:

https://brainly.com/question/20693059.

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Answer:

376 of the acres out of the 600 would be ready

Step-by-step explanation:

50x3=150 32+27+35=94 150x4=600 so 94x4=376

Answer:

376

Step-by-step explanation:

Answer: 24:8

Step-by-step explanation: 24 of the tables at Emmy's Italian Restaurant are full and the other 8 tables are empty. What is the ratio of the number of full tables to the number of empty tables?

There are 24 full tables as stated and underlined in the paragraph. Also stated, there are 8 empty tables.

Answer:

Step-by-step explanation

24:8

Answer:

y=48

Step-by-step explanation:

Answer:

I believe it to be

yes for the first one

no for the second

yes for the last one

Answer:

Yes

No

Yes

Step-by-step explanation:

The first is yes because each person may work for different periods of time, thus resulting in many different answers!
Second is no because there are a strict, unchanging amount of hours in a day. There would be no variety in each answer.

The last is yes because each month has different conditions in which rainbows could occur. Like in December youll get little to no rainbows because theres no rainfall. But in july you can get many rainbows!