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3 years ago

Simplify the following

Mathematics

2 answers:

-Dominant- [34]3 years ago

7 0

Answer:

1, B

Step-by-step explanation:

When bases are same powers are to be added

=x^(1-2)/x^(-1+0)

=x^(-1)/x^(-1)

eimsori [14]3 years ago

7 0

Step-by-step explanation:

$\\ \frac{x. {x}^{ - 2} }{ {x}^{ - 1}. {x}^{0} } = \frac{{x}^{ - 2 + 1} }{ {x}^{ - 1}.1 } = \frac{{x}^{ - 1} }{ {x}^{ - 1} } = 1$

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In the figure, Ð1 and Ð3 are vertical angles, and Ð2 and Ð4 are vertical angles.

Ede4ka [16]

Answer:

mÐ4 = 30°

Step-by-step explanation:

Vertical angles are angles that are opposite to each other, thus are said to be equal.

Since,

i. Ð1 and Ð3 are vertical angles

ii. Ð2 and Ð4 are vertical angles

This implies that the measure of Ð1 and Ð3 are congruent. And also the measure of Ð2 and Ð4 are congruent.

So that, if mÐ2 = 30°, it would be expected that mÐ4 has the same measure. This implies that mÐ4 = 30°.

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2 years ago

On March 24, 1989, the Exxon Valdez oil tanker ran aground and leaked millions of gallons of oil into Prince William Sound. The

Tema [17]

Answer:

592 hours

Step-by-step explanation:

Given

$Area = 11000m^2$

$Radius = 0.10m/h$

Required

Determine the time taken to cover the area

Since, the oil formed a circular pattern; the question will be answered using area of a circle

$Area = \pi r^2$

Let t represent the time take to cover 11000m²;

The relationship between these parameters is:

$11000 = \pi * (0.10t)^2$

Substitute 3.14 for π

$11000 = 3.14 * (0.10t)^2$

Divide both sides by 3.14

$\frac{11000}{3.14} = \frac{3.14 * (0.10t)^2}{3.14}$

$\frac{11000}{3.14} =(0.10t)^2$

$3503.18471338 = (0.10t)^2$

Take square root of both sides

$\sqrt{3503.18471338} = \sqrt{(0.10t)^2}$

$\sqrt{3503.18471338} = 0.10t$

$59.1877074516 = 0.10t$

Divide both sides by 0.10

$\frac{59.1877074516}{0.10} = \frac{0.10t}{0.10}$

$\frac{59.1877074516}{0.10} = t$

$591.877074516 = t$

$t = 591.877074516$

$t = 592\ hours$ (Approximated)

Hence, it'll take approximately 592 hours to cover the given area

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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