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2 years ago

George the Pigeon travels the same distance of 72 miles

Mathematics

1 answer:

NNADVOKAT [17]2 years ago

8 0

Answer:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

Step-by-step explanation:

Let the speed of George the Pigeon in still air = $u$ miles/hr

Let the speed of air = $v$ miles/hr

Distance traveled = 72 miles

Relative speed against the wind = $(u-v)$ miles/hr

Time taken against the wind = 4 hours

Relative speed with the wind = $(u+v)$ miles/hr

Time taken against the wind = 3 hours

Using the formula:

$Speed = \dfrac{Distance}{Time}$

$u-v=\dfrac{72}{4}\\\Rightarrow u-v=18 ..... (1)$

$u+v=\dfrac{72}{3}\\\Rightarrow u+v=24 ..... (2)$

Adding (1) and (2):

$2u=42\\\Rightarrow u = 21\ miles/hr$

By equation (1):

$v = 21-18\\\Rightarrow v = 3\ miles/hr$

Therefore, the answer is:

The speed of George the Pigeon in still air = 21 miles/hr

The speed of air = 3 miles/hr

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Answer:

Using tally marks

Step-by-step explanation:

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3 years ago

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Solution:

We know that:

$Area \ of \ triangle = \dfrac{1}{2} \times Base \times Height$

Since we are already given the base and the height, we can substitute them into the formula to find the area of the triangle.

$Area \ of \ triangle = \dfrac{1}{2} \times 18 \times24$

Cancel out the "2" by dividing it by 18.

$Area \ of \ triangle = 9 \times24$

Simplify the multiplication.

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2 years ago

David pays $335 in advance on his account at the gym. Each time he visits the gym , $6 is deducted from the account. Write an eq

Korolek [52]

Answer:

x = 335 - (6 * v)

Step-by-step explanation:

In order to calculate the value remaining, we need to first multiply the daily cost of each visit by the number of visits made to the gym which is represented by the variable (v). Once we have this cost of all the days then we subtract this amount from the current account balance in order to get the new remaining balance which is represented by x.

x = 335 - (6 * v)

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2 years ago

What is the vertical asymptote of the function? O x=-10 O x=-2 O x = 0 Ox=2

Alexxx [7]

Answer:d

Step-by-step explanation:

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3 years ago

Please please please help. thank you.

djverab [1.8K]

Lets get started :)

The First question:
Diameter = 20 ft
Radius = $\frac{1}{2}$ of 20 (diameter) = 20 ft

Area formula of a circle is
A = $\pi$ r²
= $\pi$ (10)²
=100 $\pi$ ft²
≈ 314 ft²

The answer will be the second option

The Second question:
radius of circle = 12mm divided into 20 sectors area

A = $\pi$ r²
= $\pi$ (12)²
= 144 $\pi$ ft²

Divide into 20 equal sector areas = $\frac{144 \pi }{20} = 7.2 \pi$

≈ 22.6 mm²

Your answer will be the third option

The Third Question:

90°, sector area = 36 $\pi$ , Radius = ?

$\frac{angle}{360} = \frac{sector}{ \pi (r)^2}$
$\frac{90}{360} = \frac{36 \pi }{ \pi r^2}$
$\pi$ and $\pi$ cancels out

We can now cross multiply
360 × 36 = 90r²
12960 = 90r²

Divide by 90 on either side

$\frac{12960}{90} = \frac{90r^2}{90}$
144 = r²

Take squareroot
$\sqrt{144} = x$
x = 12 in

Your answer will be the third option

4 0

3 years ago