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3 years ago

Please help me with this please and thank you

Mathematics

2 answers:

ch4aika [34]3 years ago

6 0

Answer:

B 4

Step-by-step explanation:

Divide any number (other than the first one) in the sequence by the previous number.

12/3 = 4

48/12 = 4

Answer: B 4

Elanso [62]3 years ago

5 0

Answer:

Step-by-step explanation:

the common ratio r of a geometric sequence is calculated as

r = $\frac{a_{2} }{a_{1} }$ = $\frac{12}{3}$ = 4

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An ice climber stands at the edge of a crevasse that is 115 Ft wide. The angle of the depression from the edge where she stands

Lostsunrise [7]

depression from the edge where she stands to the bottom of the opposite side is 52 degrees. How deep is the crevasse at this point? Round off to the nearest foot

8 0

3 years ago

luvenia can row 4mph in still water. She takes as long to row 7 mi upstream as 21 mi downstream. how

xeze [42]

Answer:

The speed of the river is 2mph.

Step-by-step explanation:

I guess that we want to find the speed of the river.

First, remember the relation: speed*time = distance

If the speed of the river is Sr, when Luvenia moves downstream (in the same direction that the flow of the water) the total speed will be equal to the speed of Luvenia in still water plus the speed of the water:

Sd = 4mph + Sr

and at this speed, in a time T, she can move 21 miles, so we have:

Sd*T = (4mph + Sr)*T = 21 mi

When moving upstream, the speed will be:

Su = (4mph - Sr)

and in the same time T as before, she moves 7 miles, so we have the equation:

Su*T = (4mph - Sr)*T = 7 mi

Then we have two equations:

(4mph + Sr)*T = 21 mi

(4mph - Sr)*T = 7 mi

Now we can take the quotient of those two equations and get:

((4mph + Sr)*T)/((4mph - Sr)*T) = 21/7

The time T vanishes, and we can solve it for Sr.

(4mph + Sr)/(4mph - Sr) = 3

4mph + Sr = 3*(4mph - Sr) = 12mph - 3*Sr

4*Sr = 12mph - 4mph = 8mph

Sr = 8mph/4 = 2mph.

7 0

4 years ago

An airplane climbs at an angle of 2.7" from an altitude of 4500 ft to an altitude of 5600 ft. How far does the airplane travel a

Dvinal [7]

Answer:

23,325 ft, about 4.42 miles

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle, where the side adjacent to the 2.7° angle of climb is the horizontal distance, and the side opposite is the vertical change in altitude. That change is ...

5600 ft -4500 ft = 1100 ft

and the angle relation is ...

tan(2.7°) = opposite/adjacent = (1100 ft)/(horizontal distance)

Multiplying this equation by (horizontal distance)/tan(2.7°) gives ...

horizontal distance = (1100 ft)/tan(2.7°) ≈ 23,325 ft

Dividing this by 5280 ft/mi gives ...

horizontal distance ≈ 4.42 mi

The airplane travels about 23,325 ft, or 4.42 miles, horizontally as it climbs.

4 0

3 years ago

Jim mowed 5/9 of a lawn. Sarah mowed 1/3 of the lawn. What fraction of the lawn remained to be mowed?

Montano1993 [528]

Answer:

1/9

Step-by-step explanation:

Because 1/3 is the same as 3/9, 5/9 + 3/9 = 8/9. so then 9/9 - 8/9 = 1/9. Giving them 1/9 of the lawn remained to be mowed.

8 0

3 years ago

Which expression is equivalent to (53)−2?

faust18 [17]

$a^{-n}=\dfrac{1}{a^n}\\(a^n)^m=a^{n\cdot m}\\\\(5^3)^{-2}=5^{3\cdot(-2)}=5^{-6}=\dfrac{1}{5^6}=\dfrac{1}{5\cdot5\cdot5\cdot5\cdot5\cdot5}$

4 0

3 years ago

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