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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slope = 2; 3-intercept=-1
Answer: Slope = 2; 3-intercept=-1
Step-by-step explanation:
What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 days? Use the Formula: Future Amount = { ](1+__)^{ }
Answer: 6,656 rabbits.
Step-by-step explanation:
The initial number of rabbits is 26.
We know that every 30 days, this number is doubled.
Then after 30 days, the population of rabbits is: 2*26
After other 30 days, the population will be: 2*(2*26) = 26*(2)^2
After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3
The equation for this population can be written as:
P = A*(1 + 1)^(d/30)
where:
A is the initial population, in this case, 26
d is the number of days that have ben passed.
the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.
Then our equation is:
P(d) = 26*(2)^(d/30)
The population after 240 days will be:
P(240) = 26*(2)^(240/30) = 6,656
So after 240 days, there will be 6,656 rabbits.
a tangent to a circle passes through the center of the circle
True
false
sometimes true
Answer:
False.
Step-by-step explanation:
A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)
help
pls
its
due
tmr
pls
pls
ill give 50 points
Answer:
A
Step-by-step explanation:
might be wrong
Tyler ate x fruit snacks, and Han ate less than that. Write an equation to represent the relationship between the number Tyler ate (x) and the number Han ate (y).
i need help if yall can help me
Answer:
C. 5.8
Step-by-step explanation:
We use the Pythagoras theorem here. which is a²+b²=c².
a and b are the replacements for the 5miles and 3miles here.
They are a and b because a and b are always on the right angle side.
The longest side of this triangle is called a hypotenuse which is the c in this case.
the other sides (a and b) are called the adjacent and the opposite.
it doesn't matter if you use adjacent or opposite for a and b in this case.
the only important thing is the hypotenuse here.
So it's a²+b²=c², which is 5²+3²=c².
5² is 25 and 3² is 9, so we add them and we get 34.
so c²=34, we don't want the square on c so we send it to 34 which becomes √34.
√34 gives us 5.8 miles which is up to just only one decimal place.
You might need to use calculators for square roots because they take long to calculate.
10 builders can build a house in 20 days. How many builders
will you need build the house in 10 days?
Answer:
20 builders
Step-by-step explanation:
Answer: 20 builders.
Step-by-step explanation: For 10 builders to build a house in 20 days, the ratio is 1:2. For builders to build a house in 10 days, the ratio is x:10. You then cross multiply 1:2 and x:10. Then x=20 so 20 builders.
True or False.
The following relation represents a function.
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
i’m becoming a yubo who re again xx what y’all think
Answer:
first things first nice picture, second i don't know what a yubu is, and third what is " re again xx"?
Step-by-step explanation:
19. Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 1/2 hours and dusted for hours.
How much money did Mel earn?
Answer: $45
Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45
The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=
Answer:
The value of d that balances the equation is d=15
Step-by-step explanation:
Equations
We are given an image with a hanger that represents a balanced equation.
If the equation is balanced, then the 'weights' of each side should be equal.
On the right side, there is 21 and on the left side, there are 6 and d.
Adding both, we have 6+d on the left side.
Equating both sides:
6 + d = 21
To find d, we subtract 6 on both sides:
d = 21 - 6
d = 15
The value of d that balances the equation is d=15
Answer:
d=15
Step-by-step explanation:
6+d=21
so that means d=15
6+15=21
hope this helped! :)
GIVING BRAINLY AND THANKS find the value of x show your work
twice the sum of 4 and x is less than -16. solve the i equality
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
Write the equation of a line with a slope of 3 that passes through (-3,2).
Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
Find ghe solution to the system. Write your solution as an ordered pair (x,y) with no spaces,no solution,or infinitely many.y=4x and 3x+2y=55
Answer:
The solution of the system is (5, 20).
Step-by-step explanation:
y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.
The first can be rewritten as
4x – y = 0.
Therefore, we have:
4x – y = 0
3x + 2y = 55
Multiplying the first equation by 2 all through, we have
8x – 2y = 0.
So we can now combine the second equation with the first multiplied by 2.
8x – 2y = 0
3x + 2y = 55
Adding these equations we have:
11x = 55
Divide both sides by 11 and we have
x = 5
Substitute x = 5 in equation 1, we have
4(5) – y = 0
y = 20.
Therefore, x = 5 and y = 20.
The solution of the system is (5, 20).
True or False? (2,-2) is the solution to the system of equations.
3x - 2y = 10
5x + 3y = 4
True
False
Answer:
True cuz they intercept at (2,-2) plz braliest me
Step-by-step explanation:
Answer all 4 questions please I’ll give brainiest
Answer:
1. ABP and ACQ
2. SSS Postulate
3. SAS Postulate
4. HL theorem
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15
step by step please!
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
PLEASE HELP WILL MARK BRAINLIEST!!!!
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
answers for the 2 boxes please
Answer:
(4, 22)
Step-by-step explanation:
y = 5x + 2
y = 3x + 10
Since both equations are equal to y, we can have both equations equal to each other).
5x + 2 = 3x + 10
5x + 2 - 3x - 2 = 3x + 10 - 3x - 2
5x - 3x = 10 - 2
2x = 8
2x/2 = 8/2
x = 4
(Substitute the x value to any equation to solve for y).
y = 5x + 2
y = 5(4) + 2
y = 20 + 2
y = 22
So, the answer is (4, 22).
Hope this helped! <3
Bens living room is a rectangle measuring 9 yards by 150 inches. By how many feet does the length of the room exceed the width?
Answer:
14.5 ft or 14 1/2 ft
Step-by-step explanation:
36in= 1 yard
9x36= 324in (I'm guessing this is the length)
324in (length) -150in (width)= 174in
12 in= 1 ft
174/12= 14 ft 6 in
6 inches is half a foot
14.5 ft or 14 1/2 ft
Please help me I will give you an Brainly
Step-by-step explanation:
ok so its basically like addition the top + the bottom.
3x + 3y = 12
6x + 11y = 14
9x + 15y = 26
now u wat to cancel out
9x + 15y = 26
9
15y = 26 y = 1.7
9x = 26 x = 2.8
i think this is right i hopw this helps
Answer:
y= -2
x= 6
there you go
I used elimination method!
Hope It Helps!!!!
What is ghe solution to this equation?
02(x - 20) = 44 - x
The given equation can be solved to obtain x = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given linear equation can be solved as follows,
0.2(x - 20) = 44 - x
=> 0.2x + x = 44 + 0.2 × 20
=> 1.2x = 48
=> x = 48/1.2
= 40
Hence, the value of x for the given equation is found to be 40.
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Aisha purchases a hot chocolate each for $5.87. How much would she paid after 3.5 weeks
If a right hexagonal prism became an oblique hexagonal prism, would that have any effect on the volume and height of the
solid? Explain your answer.
Answer:
Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.
Step-by-step explanation:
sample answer
What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?
Answer:
y = 3x + b
Step-by-step explanation:
The slope of y=mx+3 that passes through (-3,4) is found like this:
1. Substitute the y and x values in (4 = m*(-3) + 3).
2. Simplify by subtracting 3 from each side (1 = m*(-3)).
3. Simplify by dividing each side by -3 (-1/3 = m).
Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3. The y-intercept can be anything and it will still be perpendicular.
