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kirill [66]
3 years ago
14

The length of a rectangle is 3 m longer than its width.

Mathematics
2 answers:
vova2212 [387]3 years ago
7 0

Answer:

The width is 51.333

Step-by-step explanation:

l * w = area of rectangle

3 * w = 154

w= 154/3

w=51.333

AlladinOne [14]3 years ago
4 0

Answer:

11

Step-by-step explanation:

It right

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What is 7C3? Thanks.
Lerok [7]

Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

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2 years ago
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If a train travels 80 m/s in two hours and 20 minutes, how far has it traveled?
Alexxx [7]

Answer:

distance = 585600 m

Step-by-step explanation:

change 2 hours 20 minutes to seconds

2  hrs * 60 minutes/1hr * 60 sec/min = 7200 sec

20 minutes * 60 sec/min = 120 sec

2 hr 20 min = 7320 seconds

distance = rate * time

distance = 80 m/s * 7320 s = 585600 m

8 0
3 years ago
Complementary events must have a sum of 1.
Bas_tet [7]

This is a true statement.

Consider two events A and B. We say they are complementary if P(A)+P(B) = 1

This means that either event A or event B must happen, since the "1" represents 100% probability. Having a probability of 100% means absolute certainty.

---------

Example:

A = the event it rains

B = the event it does not rain

P(A) = 0.30 = 30% chance of rain

P(B) = 0.70 = 70% chance it does not rain

P(A)+P(B) = 0.30+0.70 = 1

So this shows the two events are complementary.

8 0
3 years ago
What number is 80% of 90?
Lerok [7]
The answer is 72

b/c 80% is equal to .80 

so you do 90x.80
4 0
3 years ago
If 1200 cm^2 of material is available to make a box with a square base and an open top find the largest possible volume of the b
strojnjashka [21]
Surface area of box=1200 cm² 
<span>Volume of box=s²h </span>
<span>s = side of square base </span>
<span>h = height of box </span>
<span>S.A. = s² + 4sh </span>
<span>S.A. = surface area or 1200 cm², s²
 = the square base, and 4sh = the four 'walls' of the box. </span>
<span>1200 = s² + 4sh </span>
<span>1200 - s² = 4sh </span>
<span>(1200 - s²)/(4s) = h </span>


<span>v(s) = s²((1200 - s²)/(4s)) </span>
<span>v(s) = s(1200 - s²)/4 . </span>
<span>v(s) = 300s - (1/4)s^3</span>

by derivating
<span>v'(s) = 300 - (3/4)s² </span>
<span>0 = 300 - (3/4)s² </span>
<span>-300 = (-3/4)s² </span>
<span>400 = s² </span>
<span>s = -20 and 20. </span>
again derivating
<span>v"(s) = -(3/2)s </span>
<span>v"(-20) = -(3/2)(-20) </span>
<span>v"(-20) = 30 </span>
<span>v"(20) = -(3/2)(20) </span>
<span>v"(20) = -30 </span>


<span>v(s) = 300s - (1/4)s^3 </span>
<span>v(s) = 300(20) - (1/4)(20)^3 </span>
<span>v(s) = 6000 - (1/4)(8000) </span>
<span>v = 6000 - 2000 
v=4000</span>
4 0
2 years ago
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