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IceJOKER [234]
3 years ago
14

What is the simplified form of the following expression

Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

the second option

Step-by-step explanation:

root 4 16 is 2

root 4 powers mean divide by 4

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a boat can travel 30 miles upstream in the same amount of time you can travel 50 miles Downstream. If the speed of the current i
almond37 [142]
Speed, S = Distance (d) / Time (t) => S= d/t => t= d/S

Let the speed of boat in still water be x mph

Resulting speed upstream = x-4 mph for a distance of 30 miles
Resulting speed downstream = x-4 mph for a distance of 50 miles

Time taken in both distances is equal.
Therefore,

30/(x-4) = 50/(x+4) => 30(x+4) = 50(x-4) => 30x+120 = 50x-200 => 120+200 = (50-30)x => 20x = 320 => x=320/20 = 16 mph

The speed of boat in still water is 16 mph.


7 0
4 years ago
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Write the expanded form or fraction 24.357
creativ13 [48]
Fraction- 24 357
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1000
4 0
3 years ago
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Both circle A and circle B have a central angle measuring 140°. The ratio of the radius of circle A to the radius of circle B is
beks73 [17]
Let 
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> <span>the length of the intercepted arc for circle A
</span>LB------> the length of the intercepted arc for circle B

we have that
rA/rB=2/3--------> rB/rA=3/2
LA=(3/4)<span>π
</span>
we know that
if <span>Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
</span>rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π

the answer is
the length of the intercepted arc for circle B is 9/8π
3 0
3 years ago
Braden is hiking on a mountain. At 11:00 a.M., he is at an elevation of 500 feet. At 2:00 p.M., he is at 900 feet. What is the r
kramer

Answer:

133.33ft/hr

Step-by-step explanation:

Between 11am and 2pm, he had 3hrs

Height change 900 - 500 = 400ft

400/3 = 133.33ft/hr

3 0
3 years ago
What is the solution to this equation? –0.2(x – 20) = 44 – x
Airida [17]

Answer: x = 50

Step-by-step explanation:

3 0
3 years ago
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