how do I find the area of composite figures​

How Do I Find The Area Of Composite Figures

Answers

Answer 1

The area of the composite figure involving rectangle and trapezium is 810.5cm².

How to calculate the area?

The area can be found by adding the area of the rectangle and trapezium. This goes thus:

Area of rectangle = Length × Width = 15 × 23 = 345cm²

Area of trapezium = 1/2(a + b)h

= 1/2(15 + 34) × 19

= 1/2 × 49 × 19

= 465.5cm²

The area will now be:

= 345cm² + 465.5cm²

= 810.5cm²

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Related Questions

Pietro is measuring the thickness of his favorite books. He rounds his measurements to the nearest \dfrac{1}{8} 8 1 ​ start fraction, 1, divided by, 8, end fraction inch and records the information on the line plot below. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. A line plot labeled 0 to 2 with tick marks every one-eighth unit. Dots are plotted as follows: 3 dots above one and one-eighth, 1 dot above one and two-eighths, 4 dots above one and five-eighths, 2 dots above one and six-eighths, and 1 dot above the 2. What is the total thickness of the two thickest books? \text{ inches} inches

Answers

Answer:

3 6/8

Step-by-step explanation:

im probably giving answers to 9 year olds rn LOL and anyways theres a number line there so you can see the heaviest which is 2 and 1 6/8 so then just add them like this 2+1=3+6/8=3 6/8 hope i helped like a 9 year old LOL

what is the correct answer for (1\2) to the third power

Answers

Answer:

0.125, 1/8

Step-by-step explanation:

0.5*0.5 = 0.25

0.25 * .5 = 0.125

0.5*0.5*0.5 = 0.125

What is the area of triangle BCD to the nearest tenth of a square centimeter? Use special right triangles to help find the height. ( Show your work). Will Only Mark Brainliest if answered correctly and No resharing another students answer from brainly or any other websites or you'll be reported. ​

Answers

Answer:

Area = 21.7 cm² (nearest tenth)

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle.  The measures of its sides have a special relationship in that they are in proportion:

shortest leg : longest leg : hypotenuse =  1 : √3 : 2

The side opposite 30° is the shortest legThe side opposite 60° is the longest leg and is √3 times the length of the shorter leg. The side opposite 90° is the hypotenuse and is twice the length of the shorter leg.

So we can also write the ratio as  [tex]x : x\sqrt{3} : 2x[/tex]  where [tex]x[/tex] is the shortest side.

From inspection of the diagram, the shortest side is 5 cm

⇒ BC (height) = 5 × √3 = 5√3 cm

Now we have the height, we can calculate the area.

Area of a triangle = 1/2 x base x height

                             = 1/2 x 5 x 5√3

                             = 21.7 cm² (nearest tenth)

Which is a characteristeric of an effective problem statement

Answers

stated clearly and with enough contextual detail to establish why it is important

The rectangular prisms below are filled with fractional unit cubes. Place the rectangular prisms in order from greatest volume to least volume.

Answers

Answer:

b  -  c   -  a

Step-by-step explanation:

Volume of each cube x number of cubes = total volume

a )  (3 * 2 * 6)  *  (1/4 )^3  = .5625

b)   (2 * 3 )     *   (1/2)^3  =  .75

c)   ( 8 * 4 * 11) *  (1/8)^3  = .6875    

The representation of the volume of the prism in greatest to least volume is third > first > second.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

As per the given cuboid prism.

The volume of the cuboid = length × height × width.

First cube = 1/4 x 3 x 6 x 2 = 9 units³

Second cube = 1/2 x 2 x 3 x 1 = 3 units³

Third cube = 1/8 x 8 x 11 x 4 = 44 units³

So, 44 > 9 > 3.

Hence "The representation of the volume of the prism in greatest to least volume is third > first > second".

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HOW TO COMPUTE SENIOR HIGH SCHOOL GPA

Answers

Answer:

Step 1: Convert every letter grade to its respective points (A=4, B=3, C=2, D=1, F=0.)

Step 2: Add up all the grade points.

Step 3: Divide the added grade points (step 2) by the number of class credits taken

Step-by-step explanation:

hope it helps

i need help on this 6th grade math problem

Answers

Answer: x<17.5

Step-by-step explanation:

Subtract  from both sides: x+2.5-2.5<20-2.5

Simplify the arithmetic: x<20-2.5

Simplify the arithmetic: x<17.5

Hope it helps!

Answer: B) 12.5

Step-by-step explanation:

Start by isolating x by subtracting 2.5 from both sides

[tex]x+2.5 < 20\\x+2.5-2.5 < 20-2.5\\x < 17.5[/tex]

This reads as "x is less than 17.5"

D can be eliminated because it is greater than 17.5

C can be eliminated because 17.5 can't be less than itself

So the answer must be B since it is less than 17.5 and greater than A

For a craft project, you select the four packages of modeling clay and the set of tools shown at the right. If there is a 6% sales tax, what is the total cost?​

Answers

Answer:

13.727

Step-by-step explanation:

Explanation

Given: You choose the four packages of modeling clay and the set of equipment indicated on the right for a creative project.

To find: the total cost if there is a 6% sales tax.

We will calculate the total cost of each item and then add.

Tip

The total cost formula is used to combine the variable and fixed costs of providing goods to determine a total.

The formula is: Total cost = (Average fixed cost x average variable cost) x Number of units produced.

Step 1

The cost of 4 packets of clay is given by:

4 x $2.79



Step 2

We will calculate the product:

4 x 2.79 = 11.16

Step 3

We will add the cost of 4 packets of clay and a pack of tools to get the total cost without tax:

$(11.16 + 1.79)



Step 4

We will add the numbers:

11.16 + 1.79 = 12.95

Step 5

The 6% tax on the total price is given by:

6% x $12.95

Step 6

We will calculate the sales tax:

6/100 x 12.95 = 0.777



Step 7

We will add the total cost without tax and tax amount to get the total amount paid:

$(12.95 + 0.777)



Step 8

We will add the amounts:

12.95 + 0.777 = 13.727

Step 9

YOU ALL DONE!

I SAY CAN YOU, YOU SAY GIVE ME THANKS, CAN YOU_GIVE ME THANKS!!!

The production costs, C, in thousands of dollars, for an
energy drink company to manufacture cans of energy
drink is given by the model C(x) = 50 +3.8x -0.0038x^2,
where x is the number of cans of energy drinks produce
in one day, in thousands. The company wants to keep i
production cost at or below $781.12.
Given that x is an element of a subset of the integers,
which of the following constraints satisfy the domain of
C(x)?
The answer choices are in the picture.

Answers

If the company wants to keep its production costs under $781.12 a reasonable domain for the constraint x is  -12.9892≤ x ≤ 1012.99.

What are constraints?

A constraint is a condition of an optimization problem that should be satisfied the condition.

Let  x is an element of a subset of the integers,

C(x) is the production cost, in thousands of dollars

[tex]C(x) = 50 +3.8x -0.0038x^2,[/tex]

This is a vertical parabola open downward (the leading coefficient is negative)

we know that

For the interval [-12.9892, 1012.99] = -12.9892≤ x ≤ 1012.99

The value of C(x) = C(x) < 781.12

That means the production cost is under $781.12

Remember that the variable x (number of tires) cannot be a negative number.

If the company wants to keep its production costs under $175,000 a reasonable domain for the constraint x is -12.9892≤ x ≤ 1012.99

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Find the area of the triangle below. Be sure to include the correct unit in your answer.

Answers

Answer:

ft²

Step-by-step explanation:

times the number by two

help?????????? i don't really know how to answer

Answers

Answer:

[tex] \fbox{4\:dollars\:and\:99\:cents}[/tex]

Step-by-step explanation:

Given:

Total money Marsha gave = 20$

Total money she received in return = 5.03$

Number of pairs of socks she purchased= 3 pairs

To find: Cost of each pair of socks =?

Solution:

Let the cost of each pair of socks is x, and the equation that satisfies above scenario would be,

[tex]3x + 5.03 = 20 \\ 3x = 20 - 5.03 \\ 3x = 14.97 \\ x = \frac{14.97}{3} \\ x = \cancel{\frac{14.97}{3} } \: ^{4.99} \\ x = 4.99[/tex]

Each pair of socks cost 4.99 dollar which can be written as 4 dollars and 99 cents.

Thanks for joining brainly community!

Answer:

$4.99

Step-by-step explanation:

Since the cashier gave $5.03 in change, Marsha paid $5.03 extra for the 3 pairs of socks. This means that the cost is;

⇒ Cost for 3 pairs of socks = 20 - 5.03 = $14.97⇒ Cost for 3 pairs of socks = $14.97

To determine the cost for each pair of socks, we need to divide 3 both sides of the equation obtained above, as it is the cost for 3 pairs of socks.

⇒ Cost for 3 pairs of socks/3 = $14.97/3⇒ Cost for each pair of socks = $4.99

Therefore, the cost for each pair of socks $4.99.


An alloy weighing 30 lbs is 119 tin The alloy was made by mixing a 15% tin alloy and a 9% tin allov. How many pounds of each alloy were used to make the 11% alloy?

Answers

We let x = pounds of alloy that is 15% tin

The problem is modeled by the equation:

0.11(30) = 0.15x + 0.09(30-x)

The equation means that the amount of tin does not change. Also, the amount of alloy (total weight - weight of 15% alloy) is (30-x).

Solving for x:

3.3 = 0.15x +2.7 - 0.09x

.06x = 0.6

x = 10 lbs

30-10 = 20 lbs

10 lbs. of the 15% alloy and 20 lbs. of the 9% alloy

Solve the equation 7(x + 4) = -21.

x =

Answers

Answer:

-7

Step-by-step explanation:

7(x+4)=-21

x+4=-21/7

x+4=-3

x=-3-4

x=-7

pls help!!! What is the surface area of the pyramid?

Answers

Answer:

SA = 224 ft^2

Step-by-step explanation:

B - base

H - height

SA - surface area

B = 8

H = 10

SA = (B×B) + 4((1/2)×(B×H))

SA = (8×8) + 4((1/2)×(8×10))

SA = 224 ft^2

Find the volume of the box
3ft
5ft
6ft

Answers

Answer:

90ft^3

Step-by-step explanation:

Each day, Mr. Bowman selects a piece of paper from a bag to determine whether
plece: walk or backyard. Mr. Bowman's students pulled a piece of paper from the bag
results.

Answers

Answer : Backyard

Step-by-step explanation:

what is the solution to this system of equations?
4x+y=6
x-2y=6

Answers

x=2 and y=(-2)

hope it helps...

Answer:

y = ( -2 )

x = 2

Step-by-step explanation:

4x + y = 6 ⇒ ( 1 )

x - 2y = 6  ⇒ ( 2 )

x = 6 + 2y ⇒ ( 3 )

First, let us find the value of y.

For that, we can replace x with ( 6 + 2y ).

Let us use equation 1 for that.

4x + y = 6

4 ( 6 + 2y ) + y = 6

24 + 8y + y = 6

24 + 9y = 6

9y = 6 - 24

9y = -18

Divide both sides by 9.

y = -2

Now let us find the value of x by replacing y with -2.

For that let us take equation 3.

x = 6 + 2y

x = 6 + 2 × -2

x = 6 - 4

x = 2

What is the square root of 2π√a anyone who answers correct will be given BRAINIEST ANSWER

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{2\pi \sqrt{a} } =\sqrt[4]{4\pi ^2a}[/tex]

Answer:

Step-by-step explanation:

Five is to three as thirty is to what number?​

Answers

5/3 = 30/x. Multiplying across: 5x = 3 times 30. Solving this gives you 5x = 150, or x = 30.

another object has a density of 18 kg/m3 and a mass of 360kg what is the volume of the object

Answers

Answer:

Length(L)=18kg

=18×100cm=1800

Breadth(B)=360kg

Height(H)=m3

Volume (V)=?

We know,

V=l×b×h

or, V=18×360×m3

=6480

Step-by-step explanation:

I think it is useful

Vanessa wants to play a video game that charges .12 a minute. If ahe has 15.00 to spend how many minutes can she play at most

Answers

Answer:

125

Step-by-step explanation:

15/12 you get 125. Then multiple it by 100 and you get 125.

What is the measure of each angle in the circle?
36°
40°
45°
60°

Answers

Answer:

45 degrees

Step-by-step explanation:

360 degrees is a whole circle, and there are 8 slots

360 / 8 = 45

A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all of their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?

How much is the family spending all at the fair?

Answers

Answer:

$18.50

Step-by-step explanation:

because there are 6 people, to find out the total discount, we do:

2.50 x 6 = 15

This means that they saved $15 out of the $96. So, to find out the total before the discount, all we have to do is

96 + 15 = 111

Then, to find the cost of 1 ticket, before discount, we do 111 / 6, which gives us:

$18.50

Hope this helps! If you have any further questions, let me know!

- profparis

in a promotion at a local diner ever twelfth customer will get a free hamburger and every ninth customer will get a free milkshake which customer will be first to get a free sandwich and a free drink

Answers

The 36th customer

The common denominator between 9 and 12 would be 36

9 th customer -> 18th customer -> 27th customer - > 36 th

12th -> 24th -> 36th

Zero and Negative Exponents 4-30=_

Answers

Answer:

-26

Step-by-step explanation:

4-30=-26

find the matrix or -2A + 7B​

Answers

Answer:

matrix is 1 x 2

Step-by-step explanation:

The order, or dimension, of a matrix is the number of rows and columns that a matrix has. By convention, rows are listed first; and columns, second.

Answer: boo i scareed you

Step-by-step explanation:

Factor the expression using the GCF 16x - 36

Answers

Answer:

4(4x−9)

Step-by-step explanation:

What is the value of x in the equation 4 (2x + 14) = 0?
9, 7, -7, -9. ​

Answers

Answer:

x = -7

Step-by-step explanation:

First step is to expand the left side of the equation. To do this, multiple 4 by each term on the inside of the paratheses.

4 * 2x = 8x

4 * 14  = 56

This gives you the equation:

8x + 56 = 0

Now, get the x term on one side by itself by subtracting 56 on both sides:

8x = -56

And solve for x by dividing both sides by 8:

x = -7

One side of a rectangle is 24 cm longer than four times another side. Find the length of the sides, given that the area of the rectangle is 1260 cm ^ 2 . Enter both sides, separated by a comma. Length of the sides: cm

Answers

Answer:

84 cm, 15 cm

Step-by-step explanation:

Check the attachment.

Santos takes the train into the city five days a week for work. For one work week, he kept track of how many minutes long each train ride was: 48, 51, 48, 48, 50

Calculate the mean, median, range, and midrange of the train ride times for the week.

Answers

The mean, median and range of the given data are respectively; 49, 48 and 3.

How to calculate mean, median and range?

Formula for mean is;

Mean = Total sum/sample size

Total sum = 48 + 51 + 48 + 48 + 50

Total sum = 245

Sample size = 5

Mean = 245/5

Mean = 49

To get the median, we arrange in ascending order and pick the mid term.

48, 48, 48, 50, 51

Median is mid term which is 48.

Range is difference between highest and lowest term.

Range = 51 - 48

Range = 3

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