Mathematics High School

The diagram shows a trapezium.
B
D
Diagram NOT accurately drawn
AD = x cm.
BC is the same length as AD.
AB is twice the length of AD.
DC is 4 cm longer than AB.
The perimeter of the trapezium is 38 cm.
Work out the length of AD.

The Diagram Shows A Trapezium.BDDiagram NOT Accurately DrawnAD = X Cm.BC Is The Same Length As AD.AB

Answers

Answer 1

Perimeter implies the total length of sides of a given figure. Thus the length AD = 4.75 cm.

A plane figure is any type of figure bounded by four straight sides. Examples are square, rectangle, trapezium, rhombus, etc. A trapezium is a type of plane figure which belongs to a family referred to as quadrilaterals.

The perimeter of a given shape is the sum of the length of its boundaries or sides.

Thus the length AD required in the question can be determined by:

AD = x cm

BC = x cm

AB = 2x cm

DC = 4x cm

Perimeter = AD + BC + AB + DC

                 = x + x + 2x + 4x

Perimeter = 8x

But the perimeter of the trapezium has been given as 38 cm.

Thus,

38 = 8x

x = [tex]\frac{38}{8}[/tex]

  = 4.75

Therefore, the length of AD is 4.75 cm.

For more clarifications on the perimeter of a given shape, visit: https://brainly.com/question/12263031

#SPJ1

Related Questions

PLEASE HELP (especially on B)

Any 3 T-shirts for $14.50
$3.99
$6.99
$5.99
A) Tom bought these three T-shirts at the sale price of $14.50. How much money did he save compared
to the original total price of the T-shirts?
B) What percentage of the total price did Tom save?

Answers

He saved 10.59 bucks

What is the value of x

Answers

Answer:

16

Step-by-step explanation:

(3x +3) + (5x-2) + (3x+3) =180

3x +3 + 5x-2 + 3x+3 =180

11x +4=180

11x =180-4

11x=176

x=176/11

x= 16

find the slope and y intercept

(0,1) and (2,-3)

whats the slope M=

whats the y intercept b=

Answers

Answer:

y = -2x + 1

Step-by-step explanation:

Y2 - Y1 / X2 - X1

-3 - 1 / 2 - 0

-4 / 2

= -2

y = -2x + b

-3 = -2(2) + b

-3 = -4 + b

1 = b

y = -2x + 1

1. Nancy works at a Dunkin Donut. The coffee maker has the ability to make 64oz of coffee. If
one coffee maker is half full, and coffee is brewed at a rate of 2oz per minute.
a. Write an equation to represent the total amount of coffee, c, in the coffee makers after t
minutes of brewing. (2 points)
b. How much coffee is there after 10 minutes of brewing? (2 points)

Answers

a =  2t+32=c

b= 2*10=20+32=52oz of coffee

I think this is right

Match the expressions to their factored forms. Drag the items on the left to the correct location on the right.

Answers

Answer:

(x-6)(x+6) pairs with x^2-36

9x^2-1 pairs with (3x-1)(3x+1)

4(x+2)(x-2) pairs with 4x^2-16

Step-by-step explanation:

Find the time it takes for a rocket following the path, h(x) = -2x2 + 18, to hit the ground. 2 sec 3 sec 8 sec 9 sec

Answers

The time it takes for a rocket  to hit the ground is 3 seconds

Step-by-step explanation:

We are given equation for height as

where

x is the time in seconds

When object hits the ground

then height becomes 0

so, we can set h(x)=0

and then we can solve for x

Subtract both sides by 18

So,

the time it takes for a rocket  to hit the ground is 3 seconds

What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?​

Answers

Answer:

14 m

Step-by-step explanation:

Given,

Area of the triangle

[tex] = {105m}^{2} [/tex]

Base of the triangle

= 15m

Let,

Height of the the triangle be h

Therefore,

By the problem,

[tex] = > \frac{1}{2} \times base \times height = 105[/tex]

(On putting values)

[tex] = > \frac{1}{2} \times 15 \times h = 105[/tex]

(On putting the known values on one side)

[tex] = > h = \frac{105 \times 2}{15} [/tex]

(On Simplification)

=> h = 7 × 2

(On multiplying)

=> h = 14m

Hence,

The req. height of the triangle is 14 m (Ans)

Answer:

The answer is 14 m.

Step-by-step explanation:

Area = [tex]105^{2}[/tex]

Base = 15 m.

Height = ?

The formula for finding the area of triangle is

[tex]A = \frac{h_{b}b}{2}[/tex]

Put the values in the formula

[tex]105 = \frac{h_{b}15 }{2}[/tex]

Use MPE or Multiplication Property of Equality

210 = 15[tex]h_{b}[/tex]

Now use DPE or Division Property of Equality

[tex]\frac{210}{15} = \frac{15_{hb} }{15}[/tex]

14 = [tex]h_{b}[/tex]

The height of the triangle is 14 m.

To check, multiply the height and base to get the area.

14 * 15 = 105 [tex]m^{2}[/tex]

Please help- It's due this week.
100x + 150y = 3,050
x + y = 23
Graph the system of equations and plot the intersection point

Answers

(x,y)= (68.939,-45.939)

Identify the shapes in the picture ​

Answers

Answer:

we're are the images pls

I WILL GIVE BRAINLIEST PLSSSSSSSSSSS

The area of a rectangle is 3/4 square yards. If the width of the rectangle is 3/5, what is the length?
EXPRESSION :
ANSWER:

Answers

I think that the answer is 1.25

Answer:

L = 5/4 yards

L = 1 1/4 yards

L = 1.25 yards

Step-by-step explanation:

area = Length * Width

3/4 = L * 3/5

Divide both sides by 3/5

(3/4) / (3/5) = L

When dividing by a fraction flip it over and multiply

3/4 * 5/3 = L

The 3 cancels

5/4 = L

L = 5/4 yards

as a proper fraction

L = 1 1/4 yards

As a decimal

L = 1.25 yards

The cost of a pen is 3 times the cost of a pencil. The total cost of 8 pencils and 5 pens is $11.50.
Please help me to find the costs of a pen and a pencil.

Answers

Answer:

$5.78

Step-by-step explanation:

brainliest?

Which of the following sets here the closure property w.r.t. Addition
(A) {0}
(B) {0, -1)
(C) (0, 1)
)
(D) {1,V3.

Answers

Answer:

the answer is number 1 make my answer brainlist answer

Andrea has 473 scented stickers in her sticker book. How many tens of stickers does Andrea have?

7

40

47

70

Answers

Answer:

47 is the correct answer.

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

divide 473 by 10

473 divided by 10 = 47

Pls help me I have to do my other work. Also this detects if it’s right or wrong:(

Answers

Umm Help with what..

what divided by 13 is 4​

Answers

Answer:

52

Step-by-step explanation:

what divided by 13 is 4​

4 * 13 = 52

----------------------------

check

52 : 13 = 4

the answer is good

Answer:

52

Step-by-step explanation:

The marked price of a television is Rs 18,500. A dealer allows two successive discounts of 20% and 5%. For how much is the television available to buy

Answers

Answer:

20%Discount price is 14800

Then 5%Discount price of the new price is 14060

14060 is the answer

What's the Answer of 5+5=09

Answers

Answer:

5+5=10

Step-by-step explanation:

i dont understand

Are the ratios 2:3 and 8:12 equivalent? Justify you answer.

Answers

Answer:Yes

Step-by-step explanation:You are multiplying the ratios by 4

solve pls brainliest

Answers

Answer:

$18.15

Step-by-step explanation:

45% of $33 = $14.85

$33 - $14.85 = $18.15


Tianna's Urbanwear advertises the following sale: Shirts are 1/2 off the original price; pants are 1/3 off the
original price; and shoes are 1/4 off the original price.
A pair of pants usually sells for $33.00. What is the sale price of a pair of pants?
Show Your Work
You have responded to 5 of 8 questions. 1 response is missing a drawing
Submit

Answers

A pair of pants is normally $33, so we multiple the original price by the 1/3 discount or .33, 33* (1/3)= 11 so we get an $11 discount, $33-$11 = $22, the sale price for a pair of pants is $22

Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er

Answers

The answer is x = 4 as it satisfies both inequalities :)

Answer:

x = 4 is the solution

Step-by-step explanation:

Solving the inequalities

x + 5 > 8 ( subtract 5 from both sides )

x > 3

-------------

2x - 3 < 7 ( add 3 to both sides )

2x < 10 ( divide both sides by 2 )

x < 5

The only integer value of x > 3 and < 5 is 4

The sum of the ages of a woman and her
son is 64 years. In 4 years time the woman
will be three and half times as old as her
son. How old were they three years ago?

Answers

Step-by-step explanation:

sorry for my ugly handwriting, hope it helps

Help me with this question please!! Show all work

Answers

The answer is 439.

3+(1/(7+1/15) = 333/106

333+ 106 = 439.

Ryan earned $2400 a month. He recieved a raise, which increased his monthly pay to $2700. Did Ryan's pay increase or decrease? By how much?

Answers

Answer:

Ryan's pay increased by $300.

Step-by-step explanation:

Answer:

His pay increased by $300

Step-by-step explanation:

2,700-2,400

=300

ayuda con esto por favor

Answers

Answers:

[tex] \sqrt[5]{ \frac{3}{8} - \frac{11}{32} } \\ = \sqrt[5]{ \frac{12 - 11}{32} } \\ = \sqrt[5]{ \frac{1}{32} } \\ = \sqrt[5]{ \frac{ {1}^{5} }{ {2}^{5} } } \\ = \sqrt[5]{( \frac{1}{2} {)}^{5} } \\ = \frac{1}{2} [/tex]

[tex] \sqrt[3]{ \frac{1}{4} + \frac{5}{108} } \\ = \sqrt[3]{ \frac{27 + 5}{108} } \\ = \sqrt[3]{ \frac{32}{108} } \\ = \sqrt[3]{ \frac{8}{27} } \\ = \sqrt[3]{ \frac{ {2}^{3} }{ {3}^{3} } } \\ = \sqrt[3]{( \frac{2}{3} {)}^{3} } \\ = \frac{2}{3} [/tex]

[tex](1 - \frac{1}{10} ) ^{3} \\ = ( \frac{10 - 1}{10} ) ^{3} \\ = (\frac{9}{10} {)}^{3} \\ = \frac{ {9}^{3} }{ {10}^{3} } \\ = \frac{729}{1000} [/tex]

Hope it helps.

Do comment if you have any query.

Calculate x you must include the steps and your solution and the definitions and or conjuncture that you use

Answers

Answer:

40

Step-by-step explanation:

what is the value of x?

Answers

Answer:

so x = 80

Step-by-step explanation:

Any triangle, no matter what type will add up to a total of 180, so 70+30= 100, and you now subtract that 100 from 180 and you 80

20 decreased by the product of 5 and a number x

Answers

20 - 5x should be correct

what would 2 x (x-3) sum be

Answers

Answer:

2x-6 I think

Step-by-step explanation:

What’s the answer to 2(x+3)

Answers

Hello there!

This isn't an equation, but here are some options for what you may be looking for!

Product, Multiplying, Evaluating, and Simplified Form: 2x + 6

Factor: 2(x+3)

Hope I helped,

Brainliest is always appreciated.

Happy Holidays.

Other Questions
kyle took at total of 8 quizzes in the first 4 weeks of school. How many weeks of school will he have to attend before he will have taken a total of 12 quizzes? emission meaning in biology? What is the next number in the series shown? 132, 123, 115, 108, 102 The Age of Enlightenment supported a. Religion over scientific beliefs. C. Scientific beliefs over reason. B. Reason over religious beliefs. D. Counter-norms. Please select the best answer from the choices provided A B C D. Select the correct answer.if g(x) = f(1/3x) which statement is true?OA. The graph of function fis stretched vertically by a scale factor of 3 to create the graph of function g.. The graph of function fis stretched horizontally by a scale factor of 3 to create the graph of function g.oc. The graph of function fis compressed horizontally by a scale factor of 1/3 to create the graph of function g.Od. The graph of function fis compressed vertically by a scale factor of 1/3 to create the graph of function g. There are 110 calories per 177.4 grams of Cereal X. Find how many calories are in 212.5 grams of this cereal. please help me with this question am 7. If the base of the parallelogram is equal to ir and the height is r, then what is the area of the parallelogram? What kind of fault movement will create a tsunami? How does Old Major use his power over the other animals ? Help help help hep pelsss last question for real Technician A states that about 33% of the heat energy created is wasted by being dumped straight outof the exhaust to the atmosphere. Technician B states that 33% is wasted by internal friction and fromradiating off hot engine components straight to the atmosphere. Who is correct?Select one:A. Technician AB. Technician BC. Both A and BD. Neither Anor B In spanish, tell me the history of empanadas and why it is a traditional dish of that country. A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40. I need help with b . Which element would have the greater difference between the first ionization energy and the second ionization energy e. f. I... him a long time before I met his family (Supply the correct form of verb 'know'.) Read the excerpt from "Woman's Rights to the Suffrage."Friends and Fellow Citizens: I stand before you tonight [having been accused of] the alleged crime of having voted at the last presidential election, without having a lawful right to vote. It shall be my work this evening to prove to you that in thus voting, I not only committed no crime, but, instead, simply exercised my citizen's rights, guaranteed to me and all United States citizens by the National Constitution, beyond the power of any State to deny.What can the reader conclude about Anthony based on this excerpt?Anthony was a brave and determined person.Anthony did not fully understand the laws.Anthony was not influenced by others' opinions.Anthony enjoyed breaking rules to get attention.you have to pick one and help Which sentence is written in the passive voice?O A.The dogs chased the stray cat for hours on end.O B.The city council got the roads repaired before the rains..Riley made pancakes for his sister by reading the recipe in a cookbook.O D.The soccer practice was cancelled because of the unexpected rains. Erika is a vegan. To avoid developing a serious nutritional deficiency, she needs to include a source of ________ in her diet.