Answer:
91.4 meters
Step-by-step explanation:
From the question:
1 yard = 0.914 meter
100 yards = x meters
x meter = 100 × 0.914 meters
x = 91.4 meters
Therefore, Nicholas sprinted 91.4 meters
As both are moving in the same direction ,both<span> will travel the </span>same distance<span> till catch up time --</span><span>d</span>
Answer:
2
- 5x² - 63
Step-by-step explanation:
Given
(2x² + 9)(x² - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
2x² (x² - 7) + 9(x² - 7) ← distribute both parenthesis
= 2 - 14x² + 9x² - 63 ← collect like terms
= 2 - 5x² - 63
Answer:
16π square units.
Step-by-step explanation:
Please refer to the graph below.
So, if we draw a representative rectangle, the width of the rectangle will be (x), and the height of the rectangle at each (x) will be given by f(x) - g(x).
By the shell method:
We are integrating from x = 0 to x = 2. p(x) is x and h(x) is f(x) - g(x):
Evaluate. Simplify:
Hence:
Evaluate:
![\displaystyle \begin{aligned} V &= 2 \pi \Big[(4(2)^2-\frac{1}{2}(2)^4)-(4(0)^2-\frac{1}{2}(0)^4)\Big]\\ &=2\pi(8) \\&=16\pi\text{ square units} \end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20V%20%26%3D%202%20%5Cpi%20%5CBig%5B%284%282%29%5E2-%5Cfrac%7B1%7D%7B2%7D%282%29%5E4%29-%284%280%29%5E2-%5Cfrac%7B1%7D%7B2%7D%280%29%5E4%29%5CBig%5D%5C%5C%20%26%3D2%5Cpi%288%29%20%5C%5C%26%3D16%5Cpi%5Ctext%7B%20square%20units%7D%20%5Cend%7Baligned%7D)
Using proportions, it is found that due to the smaller division of the exchange rate by the cost, the souvenir would be less expensive in Egypt.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
The souvenir would be less expensive in the <u>country in which the division of the exchange rate by the cost is smaller</u>.
In Britain, the cost is of 17, with an exchange rate of 0.83, hence the cost in US dollars is:
c = 17/0.83 = $20.48.
In Egypt, the cost is of 288, with an exchange rate of 18, hence the cost in US dollars is:
c = 288/18 = $16.
16 < 20.48, hence the souvenir would be less expensive in Egypt.
More can be learned about proportions at brainly.com/question/24372153
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