Answer:
Step-by-step explanation:
This are similar triangle
<ABD = <ACE
CE/BD = AE/AD
33/11 = 15/AD
Let AD be x
33/11 = 15/x
Cross multiply
33x = 11×15
33x = 165
x = 165/33
x = 5
AE = AD + DE
AE = 15, AD = x = 5 and DE = y
: 15 = 5 + y
y = 15 - 5
y = 10
BD/CE = AB/AC
11/33 = 9/(x+9)
Cross multiply
11(x+9) = 9(33)
11x + 99 = 297
11x = 297 - 99
11x = 198
x = 198/11
x = 18
To write 2^7, you would do 2*2*2*2*2*2*2 because your multiplying 2 by itself 7 times. The only factor is, 2. Now try and do the rest, if you still need help, comment and I'll edit my answer and give you more hints. you got this. I believe in you :)
Answer:
SA = 251.33 yd ^2
V = 301.59 yd ^3
Step-by-step explanation:
Right cylinder 2π = 6.28318530718
Solve for surface area
A =2πrh+2πr2 = 24 x 2π + 2π x 16
A =150.796447372 + 100.530964915
A ≈251.33 yd^2
Right cylinder π = 3.14159265359
Solve for volume
V = πr2h = 16 x 6 = 96π
V = 3.14159265359 x 96
V = 301.592894745
V= 301.59 yd ^3
Answer:
midpoint: (7.5, 1.5)
Step-by-step explanation:
midpoint formula: ( (x1 + x2)/2 , (y1 + y2)/2 )
x1= 10
x2= 5
y1=1
y2=2
( 10 + 5 )/2 = 7.5
( 1 + 2 )/2 = 1.5
midpoint coordinates => ( 7.5 , 1.5 )
Using a proportional relationship, the ordered pair that is a solution if x represents the number of days that a library book is late and y represents the total fee is:
(3, 0.9).
<h3>What is a proportional relationship?</h3>
A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
For this problem, each day, the free is increased by $0.3, hence the constant is k = 0.3 and the function is:
y = 0.3x.
Then after three days, the total fee is:
y = 0.3 x 3 = 0.9.
And the ordered pair is:
(3, 0.9).
More can be learned about proportional relationships at brainly.com/question/28291848
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