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Gekata [30.6K]
3 years ago
5

Find (w² - w + 1) + (w³ - 2w² + 99).

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
7 0

Step-by-step explanation:

Given

(w² - w + 1) + (w³ - 2w² + 99)

Now opening the bracket we get

w² - w + 1 + w³ - 2w² + 99

Re arranging,

w³- 2w²+w²- w+ 1+ 99

w³- w²- w+100

Thus the answer is  w³- w²- w+100

garri49 [273]3 years ago
4 0

Answer:

w³ - w² - w + 100

Step-by-step explanation:

The sum of (w² - w + 1) and (w³ - 2w² + 99) is:

(w² - w + 1) + (w³ - 2w² + 99)

= w² - w + 1 + w³ - 2w² + 99

= w² - 2w² - w + w³ + 99 + 1

= -w² - w + w³ + 100

= w³ - w² - w + 100

Thus, (w² - w + 1) + (w³ - 2w² + 99) = w³ - w² - w + 100.

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Answer: 18.0%

Step-by-step explanation:

Given: Cost of plane ticket =  £610  = $ 610 x 1.34      [ £1 = $1.34 ]

= $ 817.4

Airport tax = $180

Total cost = $(817.4+180)= $997.4

The percentage of the total cost does Edward spend on airport tax = \dfrac{180}{997.4}\times100\approx18.0\%

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3 years ago
cSuppose you are standing such that a 45-foot tree is directly between you and the sun. If you are standing 200 feet away from t
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Answer:

you could stand at 5.0 ft and still be completely in the shadow of the tree

Step-by-step explanation:

From the diagram attached below;

We consider;

\overline {BC} to be the height of the tree and \overline {DE} to be the height of how tall you could be and still be completely in the shadow of the tree.

∠D = ∠B = 90°

Also;

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Therefore, their sides will also be proportional

i.e

\dfrac{\overline {DE}}{ \overline {BC}}= \dfrac{\overline{AD}}{ \overline{AC}}

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x = \dfrac{1125}{225}

x = 5.0 ft

Therefore, you could stand at 5.0 ft and still be completely in the shadow of the tree

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3 years ago
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