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9966 [12]
3 years ago
5

Can someone help me identify the pairs of parallel lines

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0
F and g are parallel lines because they never intersect with each other.
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You are planning to make an open rectangular box from aa 4141​-in.-by-8181​-in. piece of cardboard by cutting congruent squares
marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0
3 years ago
Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?
Morgarella [4.7K]
3500(1 + .03/12)^12(5)
3500(1.0025)^60

The answer is:
$4,065.66 or $4,066

Hope this helps :)
4 0
3 years ago
Read 2 more answers
Nari says, “The sum of 10 and one-third of a number is 25.” She uses the bar model to write an equation to represent her stateme
Y_Kistochka [10]

Answer:

It's A.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
HELP BRAINLEST GUARANTEED
Liono4ka [1.6K]

Answer:

6% , 800$

Step-by-step explanation:

to answer the question we can use this proportion :

x : 100 = 30 : 500

x = (100*30)/500

x = 6%

for calculate the amount after 10 years we can use this formula

A = P(1+rt)

where P indicates the initial amount, r the rate (in decimal) and t the time of investment

A = 500(1 + 0,06 x 10) = 500(1 + 0,6) = 500(1,6) = 800 $

6 0
3 years ago
If you could please help me that would be great.
Brut [27]
No.1
r=9

No.3
r=10.5ft

No.5
C=132m

No.7
C=25.12

No.9
44

No.11
264cm

No.13
97.34m

No.15
47.1

No.17
Am not sure

Hope this helps though
8 0
1 year ago
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