Find the Area of the Trapezoid

Find The Area Of The Trapezoid

Answers

Answer 1
Height=2+1=3unitsParallel sides=2units and 5units

Area:-

1/2(Sum of parallel sides) (Height)1/2(2+5)(3)1/2(21)10.5units°2
Answer 2

Answer:

[tex]A=\boxed{10.5}\; \;\rm sq. \; un.[/tex]

Step-by-step explanation:

Area of a Trapezoid

[tex]\boxed{A=\dfrac{1}{2}(a+b)h}[/tex]

where:

a and b are the bases of the trapezoid (the parallel sides).h is the height of the trapezoid (perpendicular to the bases).

From inspection of the given diagram:

a = SK = 2 unitsb = OC = 5 unitsh = OS = 3 units

Substitute the found values into the formula and solve for A:

[tex]\implies A=\dfrac{1}{2}(2+5)(3)[/tex]

[tex]\implies A=\dfrac{1}{2}(7)(3)[/tex]

[tex]\implies A=\dfrac{7}{2}(3)[/tex]

[tex]\implies A=\dfrac{21}{2}[/tex]

[tex]\implies A=10.5\; \;\rm sq. \; un.[/tex]


Related Questions

What modifications did kepler make to copernicus’s model? select two options. planetary orbits are elliptical. planets closer to the sun move faster. planets spin in an epicycle while orbiting earth. venus has phases due to its orbiting of the sun. earth’s rotation causes the rising and setting of the sun.

Answers

The modifications did Kepler make to Copernicus’s model are planetary orbits are elliptical (A) and Earth’s rotation causes the rising and setting of the sun (E).

What are the laws of Kepler?

There are three laws, made by the Kepler, to explain the motion of the planet around the sun.

First Law-According to this law, all the planets moves in the elliptical orbits. The center of this orbital path is the Sun. Thus Planetary orbits are elliptical. Second Law-The planet moves in elliptical orbit. The line of planet and sun sweeps out equal mass in equal time.Third Law-The square of the period of a planet to complete one path of electrical orbit is directly proportional to the cubes of semi-major axis of their orbit.

Earth’s rotation causes the rising and setting of the sun because of the earth's rotation on its axis.

Hence, the modifications did Kepler make to Copernicus’s model are planetary orbits are elliptical (A) and Earth’s rotation causes the rising and setting of the sun (E).

Learn more about the laws of Kepler here;

https://brainly.com/question/15691974

Given that x= 7.4 m and θ = 23°, work out AC rounded to 3 SF.

Answers

Answer:

18.939

Step-by-step explanation:

Use SOH CAH TOA to find sin(23) = 7.4/x. Convert it to x(sin23) = 7.4. Divide both sides by sin23 to get x=18.939

Hey there!

[tex]\overline{AB} = 7.4m[/tex]

[tex]\overline{ACB} = 23°[/tex]

[tex] Sin(ACB) = \frac{\overline{AB}}{\overline{AC}}[/tex]

[tex] Sin(23°) = \frac{7.4}{\overline{AC}}[/tex]

[tex]\overline{AC}=18.939m[/tex]

-1/10 dived by 1/8. please answer in fraction form

Answers

Answer:

-4/5

Step-by-step explanation:

I calculated it and the answer came directly

Answer:

[tex] -\dfrac{4}{5} [/tex]

Step-by-step explanation:

[tex] -\dfrac{1}{10} \div \dfrac{1}{8} =  [/tex]

[tex] = -\dfrac{1}{10} \times \dfrac{8}{1} [/tex]

[tex] = -\dfrac{1 \times 8}{10 \times 1} [/tex]

[tex] = -\dfrac{8}{10} [/tex]

[tex] = -\dfrac{4}{5} [/tex]

pls help mee i need it immediately pls
​find the area of the composite shapes

Answers

For each one just use given info to solve area equations of each square then add them up.
5) bottom bigger square with dimensions 5 by 12
A = base * height
A = 60
Now for the top part, we know that the bottom square uses 5 cm of that 10 cm long vertical
So 10-5 = 5 for height and the base is given as 4cm
A = 4*5 = 20
So 20 + 60 = 80 square cm
6) bottom bigger is 5 by 3
A= 15
The top smaller is 1 by 2
A= 2
So area is 15+2 or 17 square cm
7) again bottom big is 11 by 5
A = 5*11 = 55
The smaller left top is 7-5 or 2 height
So dimensions are 1 by 2
A = 1*2 = 2
55 + 2 = 57 square cm
Clearly they are not drawn to scale but that’s the answers

4x + 6y = -8
-6x-6y = 24
what are the coordinate point where the two lines will intersect​

Answers

Answer:

the point where the two lines intersect is (-8, 4)

find the missing value

Answers

well, the volume of that triangular prism will just be the area of the triangle times the length.

now, what's the area of that triangular face?  well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.

[tex]\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}[/tex]

hello people ~
what is the perimeter of a rectangle whose length and breadth are 20cm and 18cm?​

Answers

Answer:

[tex]\displaystyle 76\:cm.[/tex]

Step-by-step explanation:

[tex]\displaystyle 2l + 2w = P \\ \\ \boxed{76} = 36 + 40 \Rightarrow 76 = 2[18] + 2[20] \\ \\ \boxed{76 = P} [/tex]

I am joyous to assist you at any time.

Length=L=20cmBreadth=B=18cm

Perimeter:-

[tex]\\ \rm\rightarrowtail 2(L+B)[/tex]

[tex]\\ \rm\rightarrowtail 2(20+18)[/tex]

[tex]\\ \rm\rightarrowtail 2(38)[/tex]

[tex]\\ \rm\rightarrowtail 76cm[/tex]

what is 10.9 and 6.25 as a fraction

Answers

10.9 as a fraction is 10 9/10 and 6.25 as a fraction is 6 25/100

Use the equation below to find y. If M=2, X=5 and, B=12. y=mx+b. y=
Please help ASAP!
Also answer in number form.

Answers

Answer:

y= (2)(5)+12

 =10+12

 = 22

Answer:

22

Step-by-step explanation:

replace the variables with the given values:

y=(2)(5)+12

y=10+12

y=22

What is the sum of m? PLEASE HELP

Answers

Answer:

m = 8

Step-by-step explanation:

first set the inside values equal to 90 degrees (6m + 6) + 36 = 90.

then easily work it out.

subtract 36 from each side

(6m + 6) + 36 = 90

               -36     -36

so now it's (6m + 6) = 54

subtract 6 from each side

6m = 48

divide each side by 6

m = 8

A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven Jackson wants to rent a car knowing that he plans to drive 500 miles he has at most $210 to spend what is the maximum amount of number of days that Jackson can rent a car while staying with his budget

Answers

Answer:

maximum amount of number of days that Jackson can rent a car while staying with his budget is 2 days

Step-by-step explanation:

first of all find the amount of money he will spend for 500 miles

in this case we multiply 0.12 by 500

=> 0.12 × 500

=> 60

subtract 60 from the money budgeted which is $210

=> $210 - 60

=> 150

divide 150 by the company charges per day which is dollars 68.64

=> 150 ÷ 68.64

divide 150 by 68.64

=> 2.185314685314685

approximately

=> 2 days

Answer:

2

Step-by-step explanation:

Let's say the number of days that Jackson can rent the car is x. By the question to know 6

It took Allen 2 hours to plant 4 flats of flowers. How many hours would it take for him to plant 22 flats of flowers

Answers

Answer:

11

Step-by-step explanation:

Answer:

11 hours

Step-by-step explanation:

22÷4 = 5.5

5.5×2 = 11

i really need help ! it would mean alot if you did help ❤️ !​

Answers

Answer:

B

Step-by-step explanation:

Hope this helps!!!

Answer:

B. Math , Social Studies , Reading is the answer.

I think this helps you ☺️☺️.

Thank you ☺️☺️☺️

S is the midpoint of RT. If RS = 6x and ST = x + 10, what is RS?

Answers

Answer: 12

Step-by-step explanation:

Which graph shows the solutions of the system of equations 2x - y = 8 and x - y = 2?
(Refer to both images for all answers)

Answers

Answer:

A. First graph

Step-by-step explanation:

2x - y = 8 in slope intercept form is y = 2x - 8

x - y = 2 in slope intercept form is y = x - 2

The first graph matches the slope intercept form equations.

Please help!!<3
Thanks in advance!!:))​

Answers

The answer
—————————————-

a diver is -46 feet in the water. he swims up 0.5 feet every 3 seconds. what is the location of the diver relative to the surface after 15 seconds

Answers

Answer:

-43.5

Step-by-step explanation:

After 15 second he would have swam to a level of -43.5.

43.5 in 15 seconds have a great day

What is an
equation of the line that passes through the points (-8,-4) and
(-8, – 7)?

Answers

Answer: x=-8

Step-by-step explanation:

Which Property of Multiplication is shown ? (9 + 6) 4 = 9 x 4 + 6 x 4

Answers

Answer:

This property is associative

Step-by-step explanation:

Answer:

distributive property of multiplication over addition

Step-by-step explanation:

The distributive property of multiplication over addition:

a(b + c) = ab + ac

(9 + 6)4 = 9 × 4 + 6 × 4

is an example of the distributive property.

MQ = 2x+2
QO= 3x-10

find x

(it’s a rhombus)

Answers

Answer:

2x+2=3x-10

2+10=3x-2x

x= 12

Answer:

x = 12

Step-by-step explanation:

The diagonals PN and MO are perpendicular bisectors of each other, thus

QO = MQ , substitute values

3x - 10 = 2x + 2 ( subtract 2x from both sides )

x - 10 = 2 ( add 10 to both sides )

x = 12

Find the value of x.

Answers

Answer:

x = 25

Step-by-step explanation:

[tex]2x + 10 + 30 = 90[/tex]

[tex]2x + 40 = 90[/tex]

[tex]2x = 50[/tex]

[tex]x = 25[/tex]

Can you please help me with this question

Answers

Answer:

5(2+x^5)

Step-by-step explanation:

...

im guessing we need to factor

Find the approximate unknown angle o using inverse trigonometric ratios (sin-1,cos-1, or tan-1)

Answers

Answer:

[tex]\displaystyle 34°[/tex]

Step-by-step explanation:

[tex]\displaystyle csc^{-1}\:1\frac{4}{5} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}[/tex]

OR

[tex]\displaystyle sin^{-1}\:\frac{5}{9} = \theta; 33,748988596...° \\ \\ \boxed{34° \approx \theta}[/tex]

I am joyous to assist you at any time.

What is 5 divided by (-3) but in the long division?

Answers

Answer:

Step-by-step explanation:

Divide 5 by 3

5 divided by 3 is 1 (in the set of integers). The remainder is 2.

5/3 is 1.666666666666666666666666666666666666666666666666666666666666667 (in the set of reals).

Solution for 5 divided by 3

✍️See below how to solve this division manually.

5 divided by 3 - Long Division Solution

The solution below uses the "Long Division With Remainders Method". It is one of two existing methods of doing long division.

Start by setting the divisor 3 on the left side and the dividend 5 on the right:

 1 ⇐ Quotient

 ―

3)5 ⇐ Dividend

 3

 -

 2 ⇐ Remainder

The result of the division of 5 divided by 3 is 1.6666666666666667, as a decimal number.

5/3 as a mixed number

5 divided by 3 equals to the mixed number 1 2

3

.

Note that the result of the division 5÷3 is not an exact value and is equivalent to a recurring decimal 1.66... (which has 6 as the period).

what is 0.75x – 100 ≤ 80

Answers

Answer: X is less than or equal to 240

The solution to the inequality 0.75x - 100 ≤ 80 is x ≤ 240.

Given is an inequality what is 0.75x – 100 ≤ 80, we need to solve it,

To solve the inequality 0.75x - 100 ≤ 80, we can follow these steps:

1. First, let's isolate the variable x by adding 100 to both sides of the inequality:

0.75x - 100 + 100 ≤ 80 + 100

0.75x ≤ 180

2. Next, we can divide both sides of the inequality by 0.75 to solve for x:

(0.75x) / 0.75 ≤ 180 / 0.75

x ≤ 240

Therefore, any value of x that is less than or equal to 240 will satisfy the inequality.

Therefore, the solution to the inequality 0.75x - 100 ≤ 80 is x ≤ 240.

Learn more about Inequality click;

https://brainly.com/question/28823603

#SPJ6

1. The price of an article with 15% VAT is Rs. 920. What will be the
price excluding VAT?​

Answers

Answer:

Rs 800

Step-by-step explanation:

VAT%=15%

Total price =Rs920

Consider price without VAT as Rs x.

Then,

Total price =x+15%of x

or,920=23x/20

or, 23x=920*20

or, x=18400/23

Therefore, x=Rs 800

Find the slope of a line perpendicular to
3x+2y=6

Answers

Answer:

the slope should be -1/3 because perpendicular is always opposite of the original slope.

Step-by-step explanation:

please tell me the snswer omggg dang it i need 20 words

Answers

Answer:

A

Step-by-step explanation:

[tex]\sqrt{50}[/tex] is not a perfect square. This means that you can rule out answers B and D, because it won't be 'exactly' anything.

Let's think about the other answer choices. C says that the answer of \sqrt{50} will be between 24 and 25. This is easily checkable by doing [tex]24^{2}[/tex], which equals 576. This easily eliminates option C.

Now, if the other answer choices weren't so obviously incorrect, let's see how you would solve this. What's the closest perfect square root under 50?

[tex]\sqrt{49}[/tex], which equals 7.

What's the closest perfect square root above 50?

[tex]\sqrt{64}[/tex], which equals 8.

This puts [tex]\sqrt{50}[/tex] between 7 and 8.

Answer:

Option A

Step-by-step explanation:

Here we can find out the correct option by eliminating the wrong options . We know that √50 is not a perfect square.

This eliminates option d as it says that its value is exactly 7 .

[tex]\implies \red{\text{ Option D is wrong }}[/tex]

Now look at Option C , it says that it lies between 24 and 25 . This is impossible since , 24² = 576 and 25² = 625 .

[tex]\implies \red{\text{ Option C is wrong }}[/tex]

Again the option b is similar to option d , as it says its exact value is 25 which is not possible. Hence this option is also wrong .

[tex]\implies \red{\text{ Option B is wrong }}[/tex]

Now we are ultimately left with option with shared that its value lies between 7 and 8 . We know that 7² = 49 and 8² = 64. And 50 lies in between them. Therefore Option A is the correct option .

[tex]\implies \green{\text{ Option A is correct. }}[/tex]

out of 232 tourists shopping in venice florida 25% purchased seashells as souvenirs. Using the percent as a rate per 100 how many tourists purchased seashells

Answers

Answer:

58 tourists

Step-by-step explanation:

25% = .25

.25 x 232

=58

Sent the other one too early
Please help, it's due today, I'll give brainliest!

Answers

Answer:

yes its right

Step-by-step explanation:

Answer:

J: (2, 4)

K: (1, 1)

L: (4, 0)

M: (1, 3)

N: (3, 2)

O: (2, -2)

P: (-1, 0)

Im not sure what the J' or K' means, i might have to search it up but ill try answering that too

Step-by-step explanation:

this is very simple actually! i can teach you:

(x,y)

so if you are counting left or right it goes to the x. for example, if you want to find J, you go to the black dot that says J and count starting from 0 or by looking at the x axis.

if you are counting up or down you go to (input the value) the y. if you want to find J for example, (the y coordinate) you go to the black dot and you count starting from 0. usually it will have the points -5 -4 -3 -2 -1 0 1 2 3 4 5 but in your problem it does not have so you just have to count carefully.

i will go search for what K' or J' means

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