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3 years ago

All Questions Are Above

Mathematics

2 answers:

Degger [83]3 years ago

5 0

Answer:

...

Step-by-step explanation:

2. 5.25, because the radius is half the diameter

3. 3 in because the diameter is 2x the radius

4. i.dk this one sorry

Natalka [10]3 years ago

3 0

Answer:

2. 5.25in

3. 3 in

4. 81.68 or 82

Step-by-step explanation:

The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius. the circumference is 3.14 or $\pi$ x diameter

so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.

~R3V0

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PLEASE HELP PLEASEEEE!!! Number 3

deff fn [24]

The equation for this is a^2+b^2=c^2 so your equation would be 7^2+20^2=X
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6 0

3 years ago

A lighthouse is built on an exposed reef, 4.5 miles off-shore. The shoreline is perfectly straight, and a town is located 6 mile

Alisiya [41]

Answer: 3.94 hours

Step-by-step explanation:

From the question, the following parameters are given:

Distance offshore = 4.5 miles

Distance downshore = 6 miles

Speed when running = 3.4 mph

Speed with boat = 1.8 mph

distance of boat rowing = sqrt(4.5^2 + x^2)

Where

Speed = distance/time

Time = distance/speed

Time = distance of boat rowing/1.8

distance of running = 6 - x

Time = (6-x)/3.4

total travel time

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

dt/dx = x/(1.8×sqrt(4.5^2 + x^2) - 1/3.4

d^2t/dx^2 = +ve at any x

x is at its minimum when dt/dx=0

x/(1.8×sqrt(4.5^2 + x^2) = 1/3.4

x = 6/sqrt(253) × 4.5 = 1.697 miles

Substitute x in

t = sqrt(4.5^2 + x^2)/1.8 + (6 - x)/3.4

We obtaine

t = sqrt(4.5^2 + 1.697^2)/1.8 + (6 - 1.69)/3.4

t = 2.672+ 1.266 = 3.94 hours

7 0

3 years ago

Mother is m years old, and she is four times as old as her daughter. How much older is the mother than her daughter?

yuradex [85]

The mother is older than her daughter by $\frac{3}{4}m$ years

Step-by-step explanation:

Mother is m years old, and she is four times as old as her daughter.

we need to find how much older the mother is than her daughter

Put the age of mother equal 4 times the age of daughter
Find the age of daughter
Subtract the age of daughter from the age of mother to find how much older the mother than her daughter

∵ The mother's age = m

∵ Her age is four times as old as her daughter

∴ m = 4 × daughter's age

- Divide both sides by 4

∴ $\frac{1}{4}m$ = daughter's age