Calculate the area of the trapezoid. Use paper to show your work. The figure is not drawn to scale.
12 cm
12 cm
21 cm
The area of the trapezoid is how many cm?

Answers

Answer 1

The area of a trapezium with the given dimensions is: 198 cm²

What is the Area of a Trapezium?

Area of a trapezium = 1/2(a + b)h, where h is the heght of the trapezium and a and b are the length of its bases.

Given the following:

a = 12 cmb = 21 cmh = 12 cm

Area of a trapezium = 1/2(12 + 21)12

Area of a trapezium = 198 cm²

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Related Questions

A rectangle with a perimeter of 18 miles and a width of 7 miles.
What is the length of the rectangle?

Answers

Answer:

2 miles

Step-by-step explanation:

A rectangle has two widths

7 + 7 = 14

18-14=4

It also has two lengths

4/2=2

2 miles

Hope this Helps

Happy Earth day

Answer:

2 miles

Step-by-step explanation:

Perimeter is figured out by adding all 4 sides of a rectangle.

So if the width is 7 miles on 1 side, the other width side is also 7 miles.

If the perimeter was 18 miles and 14 miles of that was the width on both sides, that leaves only 4 miles left for the 2 length sides.  That means each length side is 2 miles.

-2x+2y=-2
3x+2y=8
solve the system of equations

Answers

Answer:

The answer to the first equation is x=y+1

The answer to the second equation is x= -2/3 y+8/3

Step-by-step explanation:

Equation Solver

What do you want to calculate?

Solve for Variable

Graph

Solve for:

x

Let's solve for x.

−2x+2y=−2

Step 1: Add -2y to both sides.

−2x+2y+−2y=−2+−2y

−2x=−2y−2

Step 2: Divide both sides by -2.

−2x

−2

=

−2y−2

−2

x=y+1

Answer:

x=y+1

2. Let's solve for x.

3x+2y=8

Step 1: Add -2y to both sides.

3x+2y+−2y=8+−2y

3x=−2y+8

Step 2: Divide both sides by 3.

3x/3=-2y+8/3

x=-2/3 y+8/3

Answer:

x= -2/3 y+8/3

[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]

By Substitution method

⇒Eq.1

-2x+2y=-2y = -2 +2x

Soo value of y => y = 2x-2

↪ Substituting y= 2x-2 in ( 3x+2y = 8)

3x+2(2x-2)=83x+4x-4=8 (solving like terms)6x=12[tex]x = \cancel \frac{12}{6} [/tex]x = 2

↪ Substituting x = 2 in eq 1 to get y

-2x+2y=-2-2(2)+2y=-2-4+2y=-2(solving like terms)2y= -2+42y= 2[tex]y = \cancel\frac{2}{2} [/tex]y=1

↪ hence, (2,1) is the solution ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

A veterinary office pays PupFood $32. 75 for each bag of dog food. If the office spent $655, how many bags of food did they purchase? (Use only a number for your answer)

Answers

Answer:

20 Bags

Step-by-step explanation

The total costs would be given by the formula:

Total $ = (Bags of Food)*(Cost/bag)

We know total cost and price per bag:

$655 = (Bags of Food)*($32.75/bag)

Bags of Food = ($655/$32.75)

Bags of Food = 20 Bags

a system of equations is shown. 4x-y=5 y=-3 what is the value of x in the solution to this system

Answers

Answer:

x = 1 / 2 ( or ) 0.5

Step-by-step explanation:

4x - y = 5

Substitute the value of y = - 3 in the given equation,

4x - ( - 3 ) = 5

4x + 3 = 5

4x = 5 - 3

4x = 2

x = 2 / 4

x = 1 / 2 ( in terms of fraction )

                  ( or )

x = 0.5 ( in terms of decimal )

Note : -

- ( - 3 ) can be written as - 1 x ( - 3 ).

When a negative number is multiplied with another negative number, the result will be positive number.

Hence,

- ( - 3 ) = + 3

–(9y – 1) answer to problem

Answers

Given ques:-

–(9y – 1) solve?

Answer:-

-(9y-1) here ( - ) minus is distributed to 9y nd -1

which gives,

-9y+1

Hope it help ~

[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]

PLEASE HELP URGENT

Given \tan \theta =0.6, find the value of b

Answers

[tex] \tan(theta ) = \frac{5.3}{b} \\ [/tex]

[tex]0.6 = \frac{5.3}{b} \\ [/tex]

[tex]b = \frac{5.3}{0.6} \\ [/tex]

[tex]b = 8.83 \: \: cm[/tex]

Give the equation for the piece wise function. WILL GIVE BRAINLIEST IF GIVEN A ANSWER

Answers

Answer:

This is not a function

Step-by-step explanation:

take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.

It's #1 pls help me with this thank u

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

1). Slopes of ║ lines are equal.

2). Equation of the line passing through the point ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) is

y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )

~~~~~~~~~~~~~~~~~~

y = [tex]\frac{1}{2}[/tex] x - 10 , slope m = [tex]\frac{1}{2}[/tex]

( 2 , 5 )

y - 5 = [tex]\frac{1}{2}[/tex] ( x - 2 )

y = [tex]\frac{1}{2}[/tex] x - 1 + 5

y = [tex]\frac{1}{2}[/tex] x + 4

#1

y=1/2x-10

Comapre to slope intercept form

Slope=m=1/2

Parallel lines have equal slope

Equation of parallel line in point slope form

y-5=1/2(x-2)2y-10=x-22y=x+8y=1/2x+4

Please help asap tysmm



Use an equation to find the value of each indicated variable.
show your work and show how you found your answer.

Answers

Answer:

[tex]y = 36 \\ z = 54[/tex]

Step-by-step explanation:

[tex]3y + 2y = 180 \\ 5y = 180 \\ y = 36[/tex]

[tex]y + z + 90 = 180 \\ y + z = 90 \\ 36 + z = 90 \\ z = 90 - 36 \\ z = 54[/tex]

pls help me and if you dont know the answer dont answer this ​

Answers

Answer:

A no. is correct

Step-by-step explanation:

Hope it will help you..

Daniel earns $5.00 an hour babysitting. He babysat 6 hours Friday and more hours Saturday, and he earned
$55.00 for the weekend. How many hours did he babysit on Saturday?
A. 5
B. 11
C. 9
D. 6

Answers

Answer:

5

Step-by-step explanation:

First divide 55 by 5 to find the number of hours he sat in total. Then subtract the 6 he sat on friday.

The answer will be 11

In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
54.4 inches
12.6 inches
9.1 inches
6.4 inches

Answers

Answer:

option 2 12.6 inches

Step-by-step explanation:

the answer is 12.6 inches

Answer:

2 12.6 inches

Step-by-step explanation:

have a great day!

triangle with side lengths 4 feet, 5 feet, and 8 feet

Answers

Answer:

Yed, it is possible as

Step-by-step explanation:

4 + 5 = 9

So, sum of two sides of a triangle is always greater than the third side(largest one)

Can someone help me

Answers

Answer:

A) 24

Step-by-step explanation:

½(6)(6+2) = ½ (48) = 24

Needing help badlyyyyyy

Answers

Answer:

D, D, B

Step-by-step explanation:

multiply 744 by 1,000 to get your meters.

7 times the cost of each lawn, X will equal 210.

25 minus 12 is 13

this holds true for the one below also

Choose the logarithmic form of the exponential equation 3^7 = (4x+3).​

Answers

Answer:

546

Step-by-step explanation:

4x3^7=2187

so now its

2187=4x+3

subtract 3 from both sides

now its

2184=4x

divide both sides by 4

546=x

PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.

Q.1. One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?

Answers

Answer:

answer is 75

Step-by-step explanation:

you need to add all of them then take away 12 then you get your answer.

(1) Angle 1 and angle ____ are supplementary angles.
(2) Angle 8 and angle ____ are corresponding angles.
(3) Angle 6 and angle ____ are vertical angles.

Answers

Answer:

Step-by-step explanation:

8) angle 2 (or angle 3)

9) angle 4

10) angle 5

Answer:

(1) Angle 1 and angle __2__ are supplementary angles.

(2) Angle 8 and angle __4__ are corresponding angles.

(3) Angle 6 and angle __7__ are vertical angles.

Mark me brainliest please

a cube numbered 1-6 is rolled 30 times and lands on an even number 18 times how does the frequency based on the probability of the number cube landing on an even number

Answers

A cube has 6 sides labeled 1-6. There are 3 even numbers and 3 odd numbers therefore making the probability of both 50%. The probability of the cube landing on an even is 50% chance.

Help please


Number 4

Answers

Answer:

you need to enlarge the picture so I can see it

Step-by-step explanation:

Then I'll edit my answer and do the problem.

Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is a? 0. 0385 0. 0400 0. 0769 0. 800.

Answers

Answer:

Option A :- 0. 0385

Step-by-step explanation:

Since a is the first letter in the alphabet

and in total there are 26 alphabet

We divide 1 by 26

⇢ 1 ÷ 26

⇢ 0.038461538461538

⇢ 0. 0385

Probability = 0. 0385

~Done~

Answer:

[tex]\huge\boxed{\bf\:0. 0385}[/tex]

Step-by-step explanation:

Told number of alphabets in the English language

= {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}

= 26 alphabets.

Out of all these 26 alphabets, we need to find the probability that the letter chosen at random will be 'A'.

Probability that the letter chosen at random is 'A'

= Alphabet 'A' / Total number of letters

= 1/26

= 0.0385

[tex]\rule{150pt}{2pt}[/tex]

If number of electricity power failures occur according to a Poisson distribution with an average of 4 failures per 5 months. 12. What is the probability that there will be at least one failure during the coming month

Answers

Answer:

123

Step-by-step explanation:

What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"

Answers

Answer:

F. 12

Step-by-step explanation:

There are two right triangles.

Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.

Let's take the left one.

a² = (8√3)² - (4√3)²a² = 192 - 48a = √144 a = 12

The length of the altitude is 12.

The correct option is : F. 12

The length of an altitude is 12 units.

The correct option is 12.

What is Pythagoras' theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.

As per the information provided, it is given that the triangle is an equilateral triangle.

The side of the triangle is 8√3 units.

To find the length of the altitude of the equilateral triangle:

Let the length of altitude is h units.

Then, as per Pythagoras' theorem,

h² =  (8√3)²- (4√3)²

h² = -16(3) + 64(3)

h = -48 + 192

h² = 144

h = 12

Therefore, h = 12 units.

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Select the expression that has a value of 23.
Question 5 options:

6 + (9 x 3) ÷ 3 + 8

(6 + 9) + 3 ÷ 3 + 8

6 + 9 x 3 ÷ (3 + 8)

(6 x 9 x 3) ÷ 3 + 8

Answers

Follow PEMDAS

You do stuff in order of parenthesis first, then exponents, then multiply or divide (reading left to right order), then add or subtract (left to right order)

So first answer is correct.

First do 9*3 =27 (parenthesis)
Second do 27/3= 9 (divide)
Third do 6+9+8 = 23 (addition)

om was in a contest at the library to read as many book as wiree months. At the end of the content he camerkets for the he read. The table below shows on tumber of cok read canh *** BOOKS SAM READ Month January February March Number of Books 15 13 16 Mam was able to buy a prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets? How many prizes was sam able to buy 2 Show your work and explain your answer.​

Answers

The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.

How to calculate the prize?

The total number of books that was read will be:

= 15 + 13 + 16

= 44 books

Since he earned 2 tickets for each bok read, the number of tickets gotten will be:

= 2 × 44

= 88

Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:

= 88/5

= 17 tickets

Learn more about division on:

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At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a
sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.08
O B. 0.32
• C. 0.17
D. 0.25

Answers

Answer:

B. 0.32

I guessed and it was right

The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

The correct answer is B. 0.32.

To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:

P(plays a sport | senior) = P(plays a sport and senior) / P(senior)

Given that P(plays a sport and senior) = 0.08

and P(senior) = 0.25,

we can substitute these values into the formula:

P(plays a sport | senior) = 0.08 / 0.25

P(plays a sport | senior) = 0.32

Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.

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Select all ratios that are in their simplest form.A 25:21B 4:22C 6:28D 5:25E 30:27

Answers

Only A
Explanation because that’s the answer

pleaseeeeeee helppppppp meeeeeeeeeeeeeeeee​

Answers

Answer:

60%

Step-by-step explanation:

lets assume that the weight of K's bag is 100 just to make it easier.

K's bag=100

M's bag=120

D's bag=75

to find the percentage of M's bag over D's we divide D's over M's

75/120= 62.5%

Then round down to the nearest tens

62.5=60

how do i do dis i need help i get it i just cant get the right answer i need super nanny

Answers

Answer:

The answer of point 4 is:

[tex]distance = \sqrt{ {4}^{2} + {11}^{2} } \ = (11.70469991072)[/tex]

PLEASE HELP 75 POINTS

Answers

Answer:

Top of one step: 2.5 ft

Front of one step: 1.25 ft

One side of stairs: 5 ft

Total surface area: 25 ft

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