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.
Answers
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
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
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
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
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
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 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
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
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
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
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
Help me with this question please!! Show all work
Answers
3+(1/(7+1/15) = 333/106
333+ 106 = 439.
What will be the height of the triangle, if its area is 105 m 2 and the base is 15 m?
Answers
Answer:
14 mStep-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]
What's the Answer of 5+5=09
Answers
Answer:
5+5=10
Step-by-step explanation:
i dont understand
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
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
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
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
20 decreased by the product of 5 and a number x
Answers
solve pls brainliest
Answers
Answer:
$18.15
Step-by-step explanation:
45% of $33 = $14.85
$33 - $14.85 = $18.15
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:
ayuda con esto por favor
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.
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answers
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
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.
what divided by 13 is 4
Answers
Answer:
52Step-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:
Pls help me I have to do my other work. Also this detects if it’s right or wrong:(
Answers
Identify the shapes in the picture
Answers
Answer:
we're are the images pls
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
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
what would 2 x (x-3) sum be
Answers
Answer:
2x-6 I think
Step-by-step explanation:
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: