The area of trapezium CDEF will be 42 cm².
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
The perimeter of the rectangle ABCF is 28 cm.
Let's say BC = FA = x
Perimeter = AB + BC + CF + FA
Perimeter = 9 + x + 9 + x
Perimeter = 18 + 2x
2x + 18 = 28
x = 5 cm
Now,
Area of trapezium = (1/2) × sum of parallel distance × perpendicular distance.
Area of trapezium = (1/2) × (5 + 9) × 6
Area of trapezium = 42 cm²
Hence "The area of trapezium CDEF will be 42 cm²".
To learn more about surface area,
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Pls help it due in a hour
Answer:
The coordinates of the Midpoint of AB will be: (1/2, 5)
Step-by-step explanation:
Given the points
A(-2, 6)B(3, 4)Finding the midpoint between (-2, 6) and (3, 4)
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:6\right),\:\left(x_2,\:y_2\right)=\left(3,\:4\right)[/tex]
[tex]M.P=\left(\frac{3-2}{2},\:\frac{4+6}{2}\right)[/tex]
[tex]=\left(\frac{1}{2},\:5\right)[/tex]
Therefore, the coordinates of the Midpoint of AB will be: (1/2, 5)
Carlos used 2 cups of yogurt and 6 tablespoons of granola for every 4 pears. Would it make sense to describe this situation with a part-to-whole ratio? Explain.
85 out of 350 books in the library are about Mysteries.
What percent of the books are Mystery books?
Answer:
nearly 24%
Step-by-step explanation:
85=350×a/100
85=3.5a
a=85/3.5
nearly 24%
help please ! so i can finish this assignment
Answer:
-0.1, -0.02, [tex]\frac{5}{6}[/tex], [tex]|\frac{9}{8}|[/tex], 10
Step-by-step explanation:
Find the midpoint of the line segment with end coordinates of:
(-3,-1) and (-4,2)
Answer:
(- 3.5, 0.5 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (- 4, 2) , then
midpoint = ( [tex]\frac{-3-4}{2}[/tex], [tex]\frac{-1+2}{2}[/tex] ) = ( [tex]\frac{-7}{2}[/tex], [tex]\frac{1}{2}[/tex] ) = (- 3.5, 0.5 )
Select all of the equivalent for:
2(x+10)
Helppppp pls
Answer: c
Step-by-step explanation:
Decrease £16855.21 by 3.5%
Answer:
16265.27765
Step-by-step explanation:
3.5 percent of 16855.21 is 589.93235
16855.21-589.93235=16265.27765
please mark me as brainliest! i'd really appreciate it<3
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)
Please help
Answer:
C. (3,-2)
Step-by-step explanation:
find the fractional part the first number is of the second
examples:12;30,9;27,15;50
Answer:
a) 2/5
b) 1/3
c) 3/10
Step-by-step explanation:
a)12;30
= 12/30
= 2/5
b)9;27
= 9/27
= 1/3
c) 15;50
= 15/50
= 3/10
solve 3(y+4) = 24
could you please explain how you found y ^^
Answer:
Answer is 68
y + 4 = 72
y = 68
Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)
Answer:
the second one
Step-by-step explanation:
There are 12 more boys than girls in the cafeteria. If there
are 22 people all together, how many boys are there?
Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?
answer: 1
step-by-step explanation: n + 8 = 9
therefore 9-8 = 1
The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a linear function in terms of n:
n + 8 = 9
Subtract 8 both side:
n + 8 – 8 = 9 – 8
n = 1
From the set, we can see the element 1 is the solution to the given equation.
Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.
Learn more about the function here:
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Please please help! Will mark brainliest!
Answer:
-
Step-by-step explanation:
I NEED HELP NOOOOOWWWWWWWW!!!
Answer:
116
Step-by-step explanation:
whats 65 times 9 divided by 5
A TV has an original price of $549. Enter the new price after the given percent of
change. 30% decrease
Answer:
384.3
Step-by-step explanation:
A traffic engineer records a sample of the types of vehicles that cross a bridge. She counts 112 passenger cars, 18 light trucks, and 20 heavy trucks.
What is the APPROXIMATE probability that a random vehicle crossing the bridge is a passenger car?
Answer:
The approximate probability that a random vehicle is a passenger car is 74.67%
Step-by-step explanation:
Probability
The traffic engineer records 112 passenger cars, 18 light trucks, and 20 heavy trucks. The total of vehicles recorded is n=112+18+20 = 150.
We are required to find the probability that a randomly selected vehicle crossing the bridge is a passenger car. There are 112 passenger cars, thus the probability is:
[tex]\displaystyle p=\frac{112}{150}[/tex]
p = 0.7467
p = 74.67%
The approximate probability that a random vehicle is a passenger car is 74.67%
what is the solution to this system of equations
A. (4,2)
B. (8,4)
C. (4,8)
D. (2,4)
Answer:
B. (8,4)
Step-by-step explanation:
To find the solution of the system, look at where the lines intersect. The intersecting point is (8,4). The solution to the system of equations is (8,4).
Answer:
B. (8,4)
Step-by-step explanation:
We want to find when these two equations are equal. The long way is to actually solve them using elimination or substitution of the equations. But, we can see an easier and clever way to solve them.
There is one specific time when equations are equal and that is when their lines intersect or cross, notice the graph and where they intersect. That specific coordinate where they intersect is your answer, (8, 4)!
what does b equal. 2/3b +19=35
2/3b + 19 = 35
-19 -19
----------------------
2/3b = 16
÷2/3 ÷2/3
----------------------
b = 24
In a standard 52-card deck, half of the cards are red and half are black. The 52 cards are divided evenly into 4 suits: spades, hearts, diamonds, and clubs. Each suit has three face cards (jack, queen, king), and an ace. Each suit also has 9 cards numbered from 2 to 10. 7.
Dawn draws 1 card, replaces it, and draws another card. Is it more likely that she draws 2 red cards or 2 face cards?
Answer:
It is more likely she draws 2 red cards
Step-by-step explanation:
Given that:
Number of red d cards in deck = 26
Number of face cards = 4 * 3 = 12 face cards
If two cards are drawn with replacement ;
Probability = (required outcome / Total possible outcomes)
P(1st card red) = 26 /52) = 1/2
P(2nd card red) = 26 /52 = 1/2
P(1st card red) * P(2nd card red)
1/2 * 1/2 = 1/4 = 0.25
P(1st card face card) = 12/52 = 3/13
P(2nd card, face card) = 12/52 = 3/13
P(1st card face card) * P(2nd card face card)
3/13 * 3 /13 = 9/169 = 0.053
0.25 > 0.053
It is more likely she draws 2 red cards
please help!
Solve this system of linear equations using linear combination/elimination.
Madeline has 19 coins in her backpack. Some are nickels and some are quarters. The total value of the coins is $2.15. How many nickels and quarters does she have?
Answer:
8 quaters 3 nickels
Step-by-step explanation:
you will get brainlyest if you do this
16x^0+5x^2*y-1= plz help now
Answer:
=5x^2y+15
Step-by-step explanation:
16x^0+5x^2*y-1=
16x0+5x2y−1
Combine Like Terms:
16+5x2y+−1
=(5x2y)+(16+−1)
=5x^2y+15
Hope this helps!!! If you ever need more help just ask in the comments or somewhere.
3. Which number is a factor of 18. but not a multiple of 2? (10 Points)
Answer:
Three or nine
Step-by-step explanation:
How do I solve this equation and find the vertex, axis of symmetry, y intercept and the domain and range?
Answer & Step by Step :
The vertex is (2, -11)
The axis of symmetry is x=2
The y-intercept is (0, 1)
The Domain and Range are in the picture
stuff that WILL HELP YOU STUDYING AND CHECKING YOUR WORK (I PROMISE)
I used these to find your answer quickly^^^
Be sure to actually know the material because I promis you, you WILL see these again on countless amounts of tests
- search m-a-t-h-w-a-y
- search: d-e-s-m-o-s
(brainly won't let me type them out by don't add these '-' when searching them up)
Maribel sold 20% of the cupcakes she made. If she sold 35 cupcakes, then she made how many
cupcakes in all.
Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
y=−2x+4 Complete the missing value in the solution to the equation. ( −2) Need it quick no explanation need.
Answer:
1 is missing value..... .....
How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.
Answer:
He would make one hop to land on 6.
Step-by-step explanation:
He starts on 6, and hops to the opposite of the opposite of 6, which is 6.
Find the slope of a line that passes through (4, 1) and (6, 5).
plssss show your work thx plssss
Answer:
Slope = 2
Step-by-step explanation:
Answer:
is this what youre looking for ?
Step-by-step explanation:
Input Data :
Point A ( x A , y A ) = (3, 2)
Point B ( x B , y B ) = (7, 10)
Objective : Find the slope of a line that passes through points A and B.
Formula : Slope m = y B − y A /x B − x A
Solution: Slope m = 10 − 2 /7 − 3 = 8 4
m = 2