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3 years ago

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Mathematics

1 answer:

Sindrei [870]3 years ago

4 0

Answer:

Step-by-step explanation:

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Mary takes a sightseeing tour on a helicopter that can fly 450 miles against a 35 mph headwind. In the same amount of time it ca

monitta

Answer:

V = 160mph

Step-by-step explanation:

We need to start from the formula of speed: V=d/t

We have two travels, with and against the wind, both done in the same time.

Clearing t from the formula, we will have: t=d/V2

450miles/V-35mph (speed of the wind is subtracted)

702miles/V+35mph (speed of the wind is subtracted)

Now, we find V:

450miles/V-35mph = 702miles/V+35

450*V+35 = 702*V-35

450V+15,750 = 702V-24,570

702V-450V = 15,750 + 24,570

252V = 40,320

V = 40,320/252

V = 160mph

5 0

4 years ago

Helen had $330 in her savings account when Vince opened a savings account with zero dollars.

Nastasia [14]

I think the answer is 30x+330>50x

Step-by-step explanation:

for the option A it was slightly changed,

cause the $30 was deposited by helen not Vince.

so check that well

4 0

3 years ago

The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this

avanturin [10]

$\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265$

5 0

3 years ago

the circular stone mound in Ireland called Newgrange has a diameter of 250 feet. A passage 62 feet long leads toward the center

wolverine [178]

The complete question in the attached figure

we know that
If two chords intersect in the interior of a circle, then the product of the lengths of the segments of one chord is equal to the product of the lengths of the segments of the other chord (Segments of Chords Theorem)

therefore

AB*BC=DB*BE
AB=x
BC=x
DB=62
BE=250-62---------> BE=188 ft

so
x*x=62*188----------> x²=11656--------> x=√11656--------> x=107.96 ft

the answer is x=107.96 ft

4 0

4 years ago

In a class of 200 pupils, 60% passed in an examination. How many failed?

Dmitry [639]

Answer:

80 pupils

Step-by-step explanation:

60% of 200 is 120
200 - 120 is 80.

4 0

3 years ago

Read 2 more answers