Answers
Answer:
Area = 50 cm²
Step-by-step explanation:
Area of a trapezium ABDE = ½(a + b)h
where,
a = BD = 2.5 cm
b = AE = 7.5 cm
h = DE = ?
We need to find DE ti be able to calculate the area.
DE = CE - CD
DE = CE - 5
Since ∆ACE is similar to ∆BCD, therefore:
AE/BD = CE/CD
Plug in the values
7.5/2.5 = CE/5
Cross multiply
CE*2.5 = 7.5*5
CE*2.5 = 37.5
Divide both side any 2.5
CE = 37.5/2.5
CE = 15
Thus, DE = CE - 5 = 15 - 5
DE = 10
✅Area of trapezium = ½(BD + AE)DE
= ½(2.5 + 7.5)*10
= ½(10)10
= 50 cm²
Related Questions
If y=2x and 3x – 3y = 2, then x
Answers
Answer:
x = - 2/3
Step-by-step explanation:
2x = y
3x - 6x = 2
- 3x = 2
- 3x ÷ - 3 = 2 ÷ - 3
x = 2 ÷ - 3
x = - 2/3
Two lines, a and b, are parallel. If both of the lines are rotated 90° in the same direction and then translated to the right by the same number of units, which statement about the lines resulting from these transformations is true? They will be parallel. They will be the same line. They will be perpendicular. They will intersect, but they won't be perpendicular.
Answers
Answer:
They will be parallel.
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Translation is the movement of a point up, down, left or right. Rotation is the turning of a point about a fixed point.
If two parallel lines a and b are rotated 90° in the same direction, they would still be parallel. If they are then translated to the right by the same number of units, they would still remain parallel to each other.
Work out the value of x.
Answers
5x=180
x=180/5
x=36
PLZ HELP ME WITH THIS, I'VE BEEN STUCK ON THIS FOR A WHILE.
You sell large and small pictures at a fair. You sell a total of 16 pictures and made a total of $350. If large pictures sell for $25 and small pictures sell for $20. How many of each did you sell?
Answers
Answer:
it is blink
Step-by-step explanation:
vgftr
Help me please thanks
Answers
Replace x any with the given values:
x/y = 9/3 = 3
The answer is 3
The distance a train travels between 2 cities is 540 miles. The train travels at a speed of 80 miles per hour. Matt set up these rates to find the time it took the train to travel between the 2 cities.
Answers
Answer:
it takes 6 hours 40 minutes
Answer: 6.75 hours
Step-by-step explanation:
540%80=6.75
A company manufactures computers. Function N represents the number of components that a new employee can assemble per day. Function E represents the number of components that an experienced employee can assemble per day. In both functions, t represents the number of hours worked in one day.
N(t)=50t/t+4
E(t)= 70t/t+3
Which function describes the difference of the number of components assembled per day by the experienced and new employees?
A. D(t)= 10t(2t+13)/t+3
B. D(t)= 10t(2t+13)/ (t+4)(t+3)
C. D(t)= 10t(2t-13)/t+4
D. D(t)=10t(2t-13)/ (t+4)(t+3)
Answers
The difference of the number of components assembled per day by the experienced and new Employees is : D(t)= 10t(2t+13)/ (t+4)(t+3)
Here we perform subtraction :
D(t) = N(t) - E(t)
N(t) = 50t / (t+4)
E(t) = 70t / (t+3)
The difference :
D(t) = E(t) - N(t)
D(t) = [70t / (t+3)] - [50t / (t+4)]
The L.C.M of (t+3) and (t+4) is (t+3)(t+4)
[70t(t+4)] - [50t(t+3)] / (t+3)(t+4)
70t² + 280t - [50t² + 150t] / (t+3)(t+4)
[70t² + 280t - 50t² - 150t] / (t+3)(t+4)
20t² + 130t / (t+3)(t+4)
D(t) = 10t(2t + 13) / (t+3)(t+4)
The difference of the number of components assembled is : D(t)= 10t(2t+13)/ (t+4)(t+3)
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Answer:b
Step-by-step explanation:
plato
Please help!!!!!!! I need it fast
Answers
Answer:
i believe that the answer is C 19cm
Answer:
I think A
Step-by-step explanation:
the circle is 6 cm and the circumference(the distance between the thing) is 9 cm
The shape of a patio is triangle without hight of 8 ft and base of 17 ft what is the cost of out door carpeting to cover the patio of the carpeting costs 6.50 per ft
Answers
Answer:
$442
Step-by-step explanation:
Given :
Height of patio, h = 8ft
Base of patio = 17 ft
Cost of carpeting = $6.50 per ft²
Area of triangular patio :
Area = 1/2 * base * height
Area = 0.5 * 17 * 8
Area of patio = 4 * 17
Area of patio = 68 ft²
Cost of carpeting :
Area of patio * contains st per ft²
68 * 6.50
= $442
24% of 40
I need it worked out pls thank uuu:)
Answers
Step-by-step explanation:
24% is the same as 6/25
[tex] \frac{6}{25} \times 40 \\ = \frac{48}{5} = 9.6[/tex]
Answer:
9.6
Step-by-step explanation:
24% of 40 = 0.24 × 40 = 9.6
Let a be a rational number and b be an irrational number. Is a+b rational or irrational?
Please HALP
Answers
I'm sorry for asking so many math questions, I just need alot of help
Answers
Answer:
20 = √3/2hypo
20×2=√3 hypo
40=√3 hypo
hypo =23
23² = 20² + x²
529= 400+x²
x²= 529-400
x²=129
x= 12.8
The sales tax rate in Connecticut is 6.35%. Megan wants to buy a jacket with a $45.00 price tag. She has a gift card to the store she wants to use. What amount needs to be on the gift card for Megan to be able to buy the jacket using only the gift card?
Answers
Answer:
$47.86
Step-by-step explanation:
A tax is a compulsory amount levied by the government or an agency of the government on goods and services
Taxes increases the price of goods and services. Thus, the amount paid would increase by the tax rate
Amount that needs to be on the gift card = amount of tax + price of the jacket
Price of the jacket = $45
Amount of tax = percentage tax rate x price of the jacket
0.0635 x $45 = $2.86
$45 + $2.86 = $47.86
Can someone help me with Tuesday’s question??
Answers
Answer:
B
Step-by-step explanation:
A and B are independent events. Find P(A and B). P(A)=1/5, P(B)=3/7
Answers
Answer:
Step-by-step explanation:
Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have the same values on them and match one of these four cards.
Answers
Missing part of question
(a) If all matching cards will increase her score by 18, what are the matching cards
(b) If all matching cards will decrease her score by 12, what are the matching cards
See attachment for cards
Answer:
(a) 9 card number 2 or 6 card number 3
(b) 6 card number -6
Step-by-step explanation:
Given
The number on the cards are: 2, 3, -6 and 4
Solving (a): An increment of 18
From the card numbers attached, there are 3 positive numbers and 1 negative number
If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.
Next, for a card number to give an increment of 18; the card number must be a factor of 18.
So, we have:
[tex]\frac{18}{2} = 9[/tex]
[tex]\frac{18}{3} = 6[/tex]
[tex]\frac{18}{4} = 4.5[/tex]
Only 2 and 3 are factors of 18.
So, Natalie cards are: 9 card number 2 or 6 card number 3
Solving (b): A decrement of 12
If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.
Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)
So, we have:
[tex]\frac{-12}{-6} = 2[/tex]
So, Natalie cards are: 6 card number -6
PLZ HELP RN ILL MARK YOU BRAINLIST IF ITS RIGHT PLZZZ IM DESPERATE
Answers
Answer:
w = -0.5
Step-by-step explanation:
Divide the entire equation by -6.8 to cancel it out and get your "w" variable alone.
w = -0.5
Answer:
-0.5
Step-by-step explanation:
divide 3.4/-6.8= -0.5
Which is the graph of y= 3/4x-3?
Graph C
Graph B
Graph A
Answers
In a family,the ages of children arranged from the youngest to the oldest are 2,6,y,14 and z.if the sequence of the ages is in an arithmetic progressions what is the ratio z:y
Answers
Answer:
9/5
Step-by-step explanation:
The common difference = 6 - 2 = 4
The age after 6 is 6 + 4 = 10 = y
The age after 14 is 14 + 4 = 18 = z
z/ y = 18/10 = 9/5
Edward has $20,000 in a savings account that earns 13% interest per year. The interest is not compounded.How much interest will he earn in 1 year?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
$
Answers
Answer:
22,600
Step-by-step explanation:
A fourth grade teacher gives homework every night in both mathematics and language arts. The time to complete the mathematics homework has a mean of 10 minutes and a standard deviation of 3 minutes. The time to complete the language arts assignment has a mean of 12 minutes and a standard deviation of 4 minutes. The time to complete the mathematics and the time to complete the language arts homework has a correlation rho = -0.75. The variance of the time to complete the entire homework assignment is
Answers
Answer:
4
Step-by-step explanation:
Given that:
X = time taken to complete mathematics homework
Y= time taken to complete language homework
Standard deviation of X ; SD(X) = 3
Standard deviation of Y ; SD(Y) = 4
rho = - 0.375
rho = Cov(X, Y) / SD(X) * SD(Y)
-0.375 = COV(X, Y) / 3 * 4
COV(X, Y) = 12 * - 0.375
COV(X,Y) = - 4.5
Variance(X, Y) = V(X, Y)
V(X, Y) = V(X) + V(Y) + 2COV(X,Y)
V(X) =SD(X)² = 3² = 9
V(Y) = SD(Y)² = 4² = 16
V(X,Y) = 9 + 16 + 2(-4.5)
V(X, Y) = 16
SD(X, Y) = sqrt(V(X, Y)) = sqrt(16) = 4
Hence, standard deviation to complete entire homework, SD(X, Y) = 4
My sister is 11 years old. My brother say that his age minus thirteen is equal to my sister age . How old is my brother
Answers
Answer:
24
Step-by-step explanation:
13+11=24
If x equals 8 what is the volume.
Answers
Answer:
I think it might be 9420 Im not sure though
Step-by-step explanation:
Hey There! Allow me to explain how to solve this (I will not say the answer bc I also don't know but here is how you can find it). As you see the shape is a Cyclinder & the formula for it is V=Bh or V=πr2h. You might wanna start with solving the problems (8x - 4) & (11x + 12) Use the order of PEMDAS (Parrenthesis, Exponets, Multiplication, Division, Addition, Subtraction.) to solve is so if solving (8x - 4) And if x = 8 than first begin with mutiliplying 8 x 8 (Because it says 8x and x = 8 which means we are multiplying) than subtract that with 4 (Which will be 64 - 4). Than for (11x + 12) you will wanna do 11 x 8 which is 88 added by 12 which that will be 100. Than use the formula (V=Bh or V=πr2h) And you should have you're answer! I hoped this help and sorry for not finding the answer but atleast I explained to you on how to solve it! <3
Find the measure of the indicated angle. (image included)
I'm sorry I keep posting these it's just cause I don't understand still but i'm learning.
Answers
Answer: 88
The unknown angle in the left triangle is 80 since the sum of the angles in a triangle is 180.(180-60-40=80)
The unknown angle (the one that doesn't have a "?") is 36 since there's a straight angle which equals 180.(180-80-64)
Therefore the angle with the "?" is 88 since the sum of the angles in a triangle are 180(180-36-56)
Hope this helps!
could someone pls help me with this math problem?
Answers
Change 22 metres per second to a speed in kilometres per hour.
Show your working clearly.
Answers
Answer:
79.2 km/hour
Step-by-step explanation:
1 m/sec= 3.6 km/hour 22m/sec= ? so just multiply 22 m/sec by 3.6 km/hour then the answer will be :- 79.2 km/hour
What is the range of (-5, 2), (-2, 4), (2, -7), (4, 8)?
Answers
Simplify: 3x + 6y - (4x - 2y)
Answers
Answer:
-x + 8y
Step-by-step explanation:
In the following equation, which number is the slope (rate of change) and which is the y-intercept?
y = 32 - 4
Slope:
Y-Intercept:
Answers
Answer: Slope: 3z
Y intercept: -4
Step-by-step explanation:
The size of a TV is usually given by the length of the screen diagonal. If the screen dimensions of a TV are 16 inches by 12 inches, what size is this TV?
A)28 inch
B)20 inch
C)16 inch
D)12 inch
Answers
Answer:
A
Step-by-step explanation:
You have to do step by step
Applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
Recall:
Diagonal of a rectangle can be found using the Pythagorean Theorem given as: [tex]d = \sqrt{l^2 + w^2}[/tex]Where, d = diagonal, l and w are the dimensions of the shape.Given:
l = 16 inches
w = 12 inches
Therefore,[tex]d = \sqrt{16^2 + 12^}\\[/tex]
[tex]d = \sqrt{400} \\\\\mathbf{d = 20 inches}[/tex]
Therefore, applying the Pythagorean Theorem, the size of the TV that is 16 inches by 12 inches is: B)20 inch
Learn more here:
https://brainly.com/question/11239816