b) Calculate the area of the trapezium
5.2cm
Not drawn accurately
6cm
4.5cm
10.8cm

B) Calculate The Area Of The Trapezium5.2cmNot Drawn Accurately6cm4.5cm10.8cm

Answers

Answer 1

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Given}}} : [/tex]

Height ( h ) = 4.5 cmBase 1 ( b ) = 5.2 cmBase 2 ( b ) = 10.8 cm

[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

Area of the given trapezium

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

[tex] \boxed{ \sf{Area \: of \: a \: trapezium = \frac{1}{2} h \: (b_{1} + b_{2})}}[/tex]

Plug the known values and then simplify !

⟶ [tex] \sf{ \frac{1}{2} \times 4.5 \times (5.2 + 10.8)}[/tex]

⟶ [tex] \tt{ \frac{1}{2} \times 4.5 \times 16}[/tex]

⟶ [tex] \tt{36 \: {cm}^{2} }[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{36 \: {cm}^{2} }}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁


Related Questions

a boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour. what is the rate of the current?

Answers

Answer:

7 or 8 miles per hour

Step-by-step explanation:

The rate of current or velocity of current upriver is 4.5 miles per hour.

What is velocity?

Velocity is the rate of distance covered per time. Velocity could be average or instantaneous.

For example, if a car drives 50 meters for 10 seconds and it is constant then 50/10 = 5 meters/second will be the velocity.

Let's suppose the velocity or speed of the boat (Velocity in still water ) = V miles/hour

Velocity of current = x miles/hour

Given that,

The boat takes 2 hours to travel 15 miles upriver against the current.

15 miles  in 2 hour

⇒ 7.5 miles/hour

Since it is traveling against the current velocity so

V  - x = 7.5

And V = 12 miles/hour

By substitution,

12 - x = 7.5

x = 12 - 7.5

x = 4.5 miles/hour

Hence "The rate of current or velocity of current upriver is 4.5 miles per hour".

To learn more about velocity,

brainly.com/question/18084516

#SPJ2

Do Now
The ratio of girls to boys in a classroom is 3.1. How many boys are there in the classroom if
it has 12 girlS

Answers

Answer: 4

Step-by-step explanation:

To find out how many boys are in the classroom you must divide 12 from 3 to find the rate of change. 12/3= 4 so then you multiply 1*4 to find out how many boys are in the classroom. 1*4=4

Hope this helps ;)

Answer:

4 boys

Step-by-step explanation:

3:1 is the ratio of girls to boys

Lets girls be g and boys be b

G=3

B=1

G=12     12/3=4 and what you do to one side you do to the other it is multiplied by 4 so

B=1 time 4 =4

Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.

Answers

Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

Please help, will make brainliest

Answers

Answer/Step-by-step explanation:

1. Sin A = opp/hyp

Opp = 3

Hyp = 5

[tex] sin(A) = \frac{3}{5} [/tex] (substitution)

[tex] sin(A) = 0.6 [/tex]

2. Sin B = opp/hyp

Opp = 4

Hyp = 5

[tex] sin(B) = \frac{4}{5} [/tex] (substitution)

[tex] sin(B) = 0.8 [/tex]

3. Cos Q = adjacent/hypotenuse

Adjacent = 12

Hypotenuse = 13

[tex] cos(Q) = \frac{12}{13} [/tex] (substitution)

[tex] cos(Q) = 0.9231 [/tex] (4 decimal places)

4. Cos S = adjacent/hypotenuse

Adjacent = 5

Hypotenuse = 13

[tex] cos(S) = \frac{5}{13} [/tex] (substitution)

[tex] cos(S) = 0.3846 [/tex] (4 decimal places)

geometry question stated above

Answers

Answer:

E. HL

Step-by-step explanation:

In the diagram given, it is indicated that both right triangles have an Hypotenuse and one corresponding leg that are congruent to each other.

Therefore, based on the Hyotenuse-Leg (HL) Congruence Theorem, both triangles are congruent.

I have to determine whether the sides of the triangle form a pythagorean triple.​

Answers

Answer:

Step-by-step explanation:

How do you know if side lengths form a Pythagorean triple?

Pythagorean triples may also help us to find the missing side of a right triangle faster. If two sides of a right triangle form part of a triple then we can know the value of the third side without having to calculate using the Pythagorean theorem. From the ratio, we know that it is a Pythagorean triple.

1) Can a line have a slope of 1.25? Exp

Answers

Yes a line can have a slope of 1.25 if you do the math you should find the answers

What would this be??????

Answers

Answer:

I think it's the second one(200(1.034)t = 250)

Step-by-step explanation:

if not correct me. or try the third one.

Adriana earns $9.40 per hour working at an animal shelter. How much money will she earn for 18.5 hours of work?

Answers

Answer:

173.9

Step-by-step explanation:

9.40 × 18.5 = 173.9.

Answer:

thanks for the points Imao

Step-by-step explanation:

(a) What is wrong with the following equation? x2 + x − 42 x − 6 = x + 7 (x − 6)(x + 7) ≠ x2 + x − 42 The left-hand side is not defined for x = 0, but the right-hand side is. The left-hand side is not defined for x = 6, but the right-hand side is. None of these — the equation is correct. (b) In view of part (a), explain why the equation lim x → 6 x2 + x − 42 x − 6 = lim x → 6 (x + 7) is correct. Since x2 + x − 42 x − 6 and x + 7 are both continuous, the equation follows. Since the equation holds for all x ≠ 6, it follows that both sides of the equation approach the same limit as x → 6. This equation follows from the fact that the equation in part (a) is correct. None of these — the equation is not correct.

Answers

Answer:

Attached please find answer

Step-by-step explanation:

= (x² + x - 42) / (x - 6)

= [x² + (7x - 6x) - 42] / (x - 6)

= [x² + 7x - 6x - 42] / (x - 6)

= [(x² + 7x) - (6x + 42)] / (x - 6)

= [x(x + 7) - 6(x + 7)] / (x - 6)

= [(x + 7)(x - 6)] / (x - 6)

= x + 7 → when x approches 6

= 6 + 7

= 13

Other method:

Lim   (x² + x - 42) / (x - 6)

x→ 6

When x → 6, there is an indeterminate expression because: 6 - 6 = 0

Do you know the l'Hôpital's rule, when x → a:

Lim [ f(x) / g(x) ] = Lim [ f'(x) / g'(x) ]

f(x) = x² + x - 42

f'(x) = 2x + 1

g(x) = x - 6

g'(x) = 1

= f'(x) / g'(x)

= (2x + 1)/1

= 2x + 1 → when x approches 6

= 12 + 1

= 13

Determine the measure of ∠Z.
Question 5 options:

A)

41.76°

B)

13.29°

C)

87.71°

D)

48.24°

Answers

Answer:

A

Step-by-step explanation:

The measure of the angle Z is equivalent to 41.7°.

What is tangent function?The tangent function is one of the main six trigonometric functions and is generally written as tan (x). It is the ratio of the opposite side and the adjacent side of the angle in consideration in a right-angled triangle.

Given is a right angle triangle XYZ.

Using the tangent function, we can write -

tan(Z) = XY/XZ

tan(Z) = 25/28

tan(Z) = 0.89

Z = tan⁻¹(0.89)

Z = 41.7°

Therefore, the measure of the angle Z is equivalent to 41.7°.

To solve more questions on angle measurements, visit the link below -

https://brainly.com/question/16570146

#SPJ2

Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon

Answers

Answer:

$16

Step-by-step explanation:

[tex]0.75x = 12\\3x = 48\\x = 16[/tex]

It will cost 14$ without the coupon

Two cities are 252 miles apart. How far are the two cities from one another on a map with a scale of 1/4 inches: 18 miles?

Answers

Answer:

3.5 inches

Step-by-step explanation:

create a proportion:

inches / miles = inches / miles

let 'x' = distance in inches

1/4 = x

18    252

18x = 252(1/4)

18x = 63

x = 63 / 18

x = 3.5

The area of rectangle RSTU is 36x2+25x−25. The length of the rectangle RSTU is 4x+5. Which expression describes the width of the rectangle RSTU?

Answers

Given:

The area of the rectangle RSTU = [tex]36x^2+25x-25[/tex]

Length of the rectangle RSTU = [tex]4x+5[/tex]

To find:

The width of the rectangle RSTU.

Step-by-step explanation:

We have,

[tex]36x^2+25x-25[/tex]

Splitting the middle term, we get

[tex]=36x^2+45x-20x-25[/tex]

[tex]=9x(4x+5)-5(4x+5)[/tex]

[tex]=(4x+5)(9x-5)[/tex]

We know that, the area of a rectangle is

[tex]Area=Length \times width[/tex]

Area of rectangle is product of (4x+5) and (9x-5).

Since (4x+5) is the length of the rectangle, therefore, (9x-5) is the width of the rectangle RSTU.

By definition, the determinant equals ad - bc. What is the value of when x = -2 and y = 3? I NEED HELP PLEASE

Answers

Answer:

B. -84

Step-by-step explanation:

Taking the determinant of the matrices we will have;

= 4x(5y) - 2x(3y)

= 20xy - 6xy

= 14xy

Given x = -2 and y = 3

Determinant = 14(-2)(3)

Determinant = -28*3

Determinant = -84

Can someone please help me Im so stressed out .

Answers

Answer:

38 students chose to fly

Step-by-step explanation:

add the female and male

Bro it’s 26+12 bc it says how many students did that and you just add the boys and girls

Please help, I will give brainliest, I am struggling badly.

Answers

Answer: y = 5/2x - 4

Step-by-step explanation:

the equation is y = ax + b (a ≠ 0)

because the slope of the line is 5/2 => a = 5/2

               the line passes through (0; -4) => -4 = b

=> the equation is y = 5/2.x - 4

HI, i have to turn this in by the end of the day! please help.

Answers

Answer:

Both are 77

Step-by-step explanation:

103 + 103 = 206

360 - 206 = 154

154/2 = 77

#3 = 103
#2=77
#4=77

#3 is the same as #1, then subtract them from 360, divide that and you get 77 for the last two.

what is 3 over 40 written as a decimal ?

Answers

Answer:

0.075

Step-by-step explanation:

3/40 = 0.075

hope it help u

plz follow me

sarah spent a total of 10 on oranges and apples at the supet marke
t. if she spent 3 dollars less for oranges than she did on apples how much did sarah spend on oranges​

Answers

oranges = x dollars

apples = x+3 dollars


An equation is


Oranges + Apples = 10 dollars, or

x + (x+3) = 10

2x = 10-3

2x = 7

x = 7/2 = 3.5


ANSWER. Sara spent $3.50 for oranges.
Is this good ?
$3.50 on the oranges rather than apples

last question:) thanks guys​

Answers

Answer:

5/12

Step-by-step explanation:

Probability of getting either heads or tails of a coin : 1/2

Probability of getting 1,2,3,4, or 6 on a dice: 5/6

Multiply those two probabilities : 1/2 * 5/6 = 5/12

You have a 5 out of 12 chances of getting heads on a coin AND any number but a 5 on a dice.

Hope this helps!

Evaluate:
65−15÷5 +(−19)​

Answers

The answer is 44 by using pemdas.

Answer:

43

Step-by-step explanation:

65-15/5+(-19)

65-3+(-19)

62-19=43

What is ( 2 ⅓ * x ) + x?

Answers

Answer:

10x/3

Step-by-step explanation:

10x/3.............................

Select all that are equivalent to sin H.


1. cos H

2. cos Y

3. sin Y

4. sin W

5. tan W

6. cos(90-H)

7. sin(90-H)

Answers

Answer:

i believe 1-3-5

Step-by-step explanation:

Answer: the 2nd and 6th

Step-by-step explanation:

i did the test thing

Solve by elimination and show all steps please


3x=2y-7, 2x-y=10

Answers

Answer:

if you download the app photomath it will help you

Step-by-step explanation:

I promise!

Step-by-step explanation:

x=27 and y= 44

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

If you Start with $10 in the bank and each month you add $20 which line equation will give you your total amount after X months?

Answers

Answer:

y=20x+10

Step-by-step explanation:

You start with $10, so this will be added on, and is not affected by the number of months.

You add $20 each month, so the 20 is dependant on x.

ANSWER: y=20x+10

PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?

A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second

Answers

I think it’s B hope it’s right

A triangle has vertices at (-2,-3),(4, -3), and (3,5). What is the area of the triangle?

Answers

Answer:

this triangle is ABC with A(-2 ; -3), B(4; - 3) and C(3;5)

=> [tex]AB=\sqrt{(4-(-2))^{2}+\sqrt{(-3 -(-3))^{2} } }=\sqrt{6^{2} }=6\\\\AC=\sqrt{(3-(-2))^{2}+(5-(-3))^{2} }=\sqrt{5^{2}+8^{2} }=\sqrt{89}\\\\BC =\sqrt{1^{2}+8^{2} }=\sqrt{65}[/tex]

using Heron theorem, we have:

[tex]S=\sqrt{p(p-AB)(p-AC)(p-BC)}\\\\S=\sqrt{(\frac{6+\sqrt{89}+\sqrt{65} }{2})(\frac{\sqrt{89}+\sqrt{65}-6 }{2} )(\frac{6+\sqrt{65}-\sqrt{89} }{2})(\frac{6+\sqrt{89}-\sqrt{65} }{2}) }\\\\S=24 \\\\[/tex]

with S is the area of the triangle

       [tex]p=\frac{AB+AC+BC}{2}=\frac{6+\sqrt{89}+\sqrt{65} }{2}[/tex]

Step-by-step explanation:

Area of the triangle with given vertices is equals to 24 square units.

What is Area?

"Area is the surface which represents the total space occupied by any two dimensional object."

What is triangle?

"Triangle is a  polygon which has three sides and three vertices. Sum of all the interior angles of a triangle is equals to 180°."

Formula used

In ΔABC , A(x₁ , y₁) , B(x₂, y₂) and C(x₃, y₃)

Area of a triangle =  [tex]\frac{1}{2} [ x_{1} (y_{2} -y_{3} + x_{2} (y_{3} -y_{1} +x_{3} (y_{1} -y_{2} ]\\[/tex]

According to the question,

Let ABC be the triangle with A(-2,-3) , B(4,-3) and C(3,5)

Area of the triangle = [tex]\frac{1}{2}[/tex] [ -2(-3-5) + 4(5+3) +3 (-3 +3)]

                                 = [tex]\frac{1}{2}[/tex] [ 16 +32 + 0]

                                 = 24 square units

Hence Area of the triangle with given vertices is equals to 24 square units.

Learn more about Area of the triangle here

https://brainly.com/question/19305981

#SPJ2

what is the equation for the line shown? picture attached. ​

Answers

the first one

slope is rise/run so from (2,-1) to (0,2) you go up 3 and over 2

so it’s (3/2)x

and the line is going down when looking at it from left to right so we know it’s negative

then the other number is where the line crosses the y axis, which is positive 2

How many groups of 1 2/3 are in 5/6? Please help

Answers

Answer:

2

Step-by-step explanation:

1 2/3     5/6

5/3 -> 10/6 -> 3 1/3

1 2/3 x 2 = 3 1/3

There are [tex]\frac{1}{2}[/tex] groups of the first fraction in the second fraction.

Given the following data:

Fraction 1 = [tex]1\frac{2}{3}[/tex]Fraction 2 = [tex]\frac{5}{6}[/tex]

What is a fraction?

A fraction is a numerical quantity that is not expressed as a whole number. Therefore, a fraction is simply a part of a whole number.

The parts of a fraction.

In Mathematics, a fraction comprises two (2) main parts and these include:

NumeratorDenominator

Next, we would divide the second fraction by the first fraction as follows:

[tex]Groups = \frac{\frac{5}{6} }{\frac{5}{3} } \\\\Groups = \frac{5}{6} \times \frac{3}{5} \\\\Groups = \frac{3}{6} \\\\Groups = \frac{1}{2}[/tex]

Read more on fractions here: brainly.com/question/368260

Other Questions
The following statements are from American writers:1. We hold these truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among these are Life, Liberty and the pursuit of Happiness.2. Representatives and direct Taxes shall ... be determined by adding to the whole Number of free Persons, ... and ... three fifths of all other Persons.3. Where the whole power of one department is exercised by the same hands which possess the whole power of another department, the fundamental principles of a free constitution are subverted.4. You are not to inquire how your trade may be increased, nor how you are to become a great and powerful people, but how your liberties can be secured; for liberty ought to be the direct end of your government.Which statement best reflects John Locke's idea of natural law? (3 points)Select one:a. 1b. 2c. 3d. 4 Fatoumata observes marble travel along a horizontal path at a constant rate. The marble travels 1/12 of the length of the path in 4 2/3 seconds. At that rate, how many seconds does it take the object to travel the full length? What molecule carries chemical energy that cells use for their functions? What was the state of printing before 1450, what did Johannes Guttenberg do to change/ transform this, and what was the resulting impact from Guttenberg's improvements? A line passes through the points (0, 14) and (18, 15) . What is its equation in slope-intercept form? 100 PTs HELP PLS MARKING BRANLIST TAKING TEST RNJohn is running 4 m/s when he decides to make a final sprint to the finish line. He crosses the finish line 6 seconds laterrunning 8 m/s. What was his acceleration in the last 6 seconds of the race?-1.33 m/s21.33 m/s20.67 m/s2-0.67 m/s2 WRITE an essay explaining why it is important to learn how to read. Judy baked a pizza for lunch.The size of the pizza was 14 inches in the diameter. Find the area of the pizza. In the early decades of R & B( '50's - ''80s) who was one of the first R & B musicians to have crossover success into pop music? Answer Correctly Which of the form of government was not used during the entire history of the Roman Empire? What do the symbols of mirrors and glass represent in this excerpt?the importance of appearancethe need to be powerfulthe desire to grow strongerthe ability to see ones worth 6Which of the following is equivalent to 2x(x2 3x) ? This philosophy is the foundation of modernChinese culture: 1. What do we mean when we say the Constitution is a "higher law?" Corridos viejitos or corridos tumbados? What is the value of {8 +3 (14 6) 18) ? the sum of 17 and 3 times x Name 1 object that you would use the following types of measurements for; Mass, Volume and Density. I need this by 8:30 3. Without doing any calculations, compare Expression A to Expression B.A. (34+25)=14B. 34+25Which statement is true?CA. Expression A is 2 times as great as expression B.B.Expression B is 4 times as great as expression A. -YesCC.Expression A is 4 times as great as expression B.D. The two expressions are equal to each othe7 long roms of plants Review the underlined sentence on page 2. What idea does Kennedys repetition of the wording ""not to our . . . but to our . . ."" emphasize?