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Mathematics

1 answer:

irina [24]3 years ago

8 0

$21.6

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Step-by-step explanation:

Kilometres when Satish is alone

150 kilometres in the beginning

150 kilometres in the end

Total: 300 kilometres

Litres of gas when Satish is alone

6 litres of gas per 100 kilometres

6 x 3 for 300 kilometres = 18 litres

Cost of gas when Satish is alone

$1.2 per litre

18 x 1.2 = $21.6

Therefore, Satish will pay $21.6 for gas.

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Let a = 3; x = 2 c) y = ( a * x ) * x * ( x + 7 )

Molodets [167]

Step-by-step explanation:

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The cost of buying materials will be subtracted from what he earns. Therefore, what’s left over is the profit

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Ira Lisetskai [31]

Answer:
40x² + 65x + 25

Explanation:
We will just multiply each term from the first bracket by each term from the second and then combine like terms to get the final expression.

This would be done as follows:
(5x + 5)(8x + 5)
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3 years ago

A six-foot-tall person is standing next to a flagpole. The person is casting a shadow 1 1/2 feet in length, while the flagpole i

lara31 [8.8K]

Answer: 20 ft

This problem can be solved by the Thales’s theorem, which states:

Two triangles are similar when they have equal angles and proportional sides

It should be noted that to apply Thales' Theorem, it is necessary to establish the two triangles are similar, that is, that they have the corresponding angles equal or that their sides are proportional to each other.

Now, if we measure the shadow of the flagpole and the shadow of the person, at the same moment, we can use the first Thales' Theorem to calculate the height of the flagpole, knowing the height of the person.

In this case we have two similar triangles (Figure attached) where $H$ is the height of the flagpole, $h=6 ft$ is the height of the person, $A=5 ft$ is the length of the shadow of the flagpole and $a=1\frac{1}{2}=1.5 ft$ is the length of the shadow of the person.