ABCD is a trapezoid.
What is the area of trapezoid?
Answers
Area = (1/2)(AB + DC)·h
We are given a relationship between AB and DC, so we can write
Area = (1/2)(AB + AB/4)·h = (5/8)AB·h
The given dimensions let us determine the area of ∆BCE to be
Area ∆BCE = (1/2)(5 cm)(12 cm) = 30 cm²
The total area of the trapezoid is also the sum of the areas ...
Area = Area ∆BCE + Area ∆ABE + Area ∆DCE
Since AE = 1/3(AD), the perpendicular distance from E to AB will be h/3. The areas of the two smaller triangles can be computed as
Area ∆ABE = (1/2)(AB)·h/3 = (1/6)AB·h
Area ∆DCE = (1/2)(DC)·(2/3)h = (1/2)(AB/4)·(2/3)h = (1/12)AB·h
Putting all of the above into the equation for the total area of the trapezoid, we have
Area = (5/8)AB·h = 30 cm² + (1/6)AB·h + (1/12)AB·h
(5/8 -1/6 -1/12)AB·h = 30 cm²
AB·h = (30 cm²)/(3/8) = 80 cm²
Then the area of the trapezoid is
Area = (5/8)AB·h = (5/8)·80 cm² = 50 cm²
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Answers
Y=22
The work is in picture
Answers
Answer:
15/2 minutes
Step-by-step explanation:
Class duration= 45 minutes
For 6 songs = 45 minutes
For 1 song = 45/6 = 15/2 minutes
Given:
Colin’s piano lesson is 45 minutes, or Three-fourths of an hour, long. If he practices 6 different songs and spends an equal amount of time on each song, what fraction of an hour does he spend practicing each song ?
Solution:
we have,
→ Colin’s piano lesson is = 45 minutes .
and,
→ he practices total different songs = 6
also, given that, he spends an equal amount of time on each song .
So,
→ Time he spend on each song = Total time of lesson / Total number of songs he practice = 45/6 = (15/2) Minutes.
now, we know that,
→ 60 minutes = 1 hour .
→ 1 minute = (1/60) hour .
then,
→ (15/2) minutes = (1/60) * (15/2) = (1/8) hours.
hope this helps......
Answers
Answer:
88 centimeters is the diameter of the cilinder
Step-by-step explanation:
The pressure on both ends of the lift must be the same. Assuming the piston is cilindrical, its area will be A=π*r² where r is half the diameter
Since pressure P=F/A And P1=P2
F1=2000kg.g
A1=π*r²
F2=25kg.g
A2=π*0.05²
2000/(π*r²)=25/(π*0.05²)
and we solve for A1
r²=2000*0.05²/25
r=20*0.05/5=0.44m or 44cm
This is the radius, meaning that the diameter will be twice this number
Answer:
Diameter=28,4849
Step-by-step explanation:
Remember that the formula for pistons is oftena simple rule of three, the input and output force is equal to the division of the force by the area of the application of the force:
Now that is the area of the circle, we just solve the formula of the circle to calculate the radius:
Now remember that the radius is half the diameter so we just have to multiply the radius by 2:
14,24*2=28,4849
So the diameter has to be 28,4849
Answers
Answer:
Um i have no idea sorry i couldnt help
Step-by-step explanation:
X: -3, -2, -1, 0, 1, 2
Y: 15, -8, -1, 3, 6, 10
g(x) = –4 sin(5x) + 3
Options:
A. f(x)
B. g(x)
C. f(x) and g(x) have the same y-intercept
D. Not enough information
Answers
Answer:
C. f(x) and g(x) have the same y-intercept
Step-by-step explanation:
To find the y-intercept, we need to plug in x = 0
f(x) is given in table values.
When x = 0, y = 3 from the table values.
Therefore, y-intercept of f(x) = 3
g(x) = -4 sin(5x) + 3
Plug in x = 0
y = -4 sin(5.0) + 3
y = -4 sin 0 + 3 [sin 0 = 0]
y = 0 + 3
y = 3
Therefore, y-intercept of g(x) = 3
Answer: C. f(x) and g(x) have the same y-intercept
Hope this will helpful.
Thank you.
Answers
Answer:
y= 1/2 (2)x
Step-by-step explanation:
:D I hope this is right! sorry if its not ; )