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2 years ago

Question 20

Mathematics

1 answer:

Andrej [43]2 years ago

3 0

The distance between the bottom of the lighthouse and the boat is 77.6m.

<h3>What is the distance between the bottom of the lighthouse and the boat?</h3>

The lighthouse and the boat would form a right triangle. The height would be the height of the lighthouse. The distance between the top of the lighthouse and boat would be the hypotenuse. The distance between the bottom of the lighthouse and the boat would be the base.

In order to determine the required distance, Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

where:
a = length
b = base
c = hypotenuse

125² = 98² + b²

b² = 125² - 98²

b = √(25² - 98² )

b = 77.6m

To learn more about Pythagoras theorem, please check: brainly.com/question/14580675

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UNIT 8

DochEvi [55]

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

<h3>What is Circumference of the Circle?</h3>

The circumference of a circle is defined as the linear distance around it.

i.e., $C= 2 *\pi*r$

For First Figure,

Circumference of the circle:

$= 2 *\pi*r$

$= 2 *\pi* \frac{5.3}{2}$

$= 2 *\pi*2.65$

$Circumference= 5.3*\pi cm$

For the second Figure,

Circumference $= 2 *\pi*r$

$= 2 *\pi*40$

$= 80 *\pi$

$Circumference =80\pi \;inch$

For the first figure the Circumference of the circle is: 5.3 $\ip$ $\pi$ cm.

For the second figure the Circumference of the circle is: 80 $\ip$ $\pi$ inch.

Learn more about circumference of circle here:

brainly.com/question/23239017

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2 years ago

Natalie picked 135 berries in 15 minutes. If she continues picking at that rate, how many total minutes will it take her to pick

Alex777 [14]

Lets focus on what we know first. Natalie can pick 135 Berries in 15 minutes. Lets find out how many berries she can pick per minute.
In order to do so, We have to divide 135 by 15.

135/15=9
This means that Natalie can pick 9 berries per minute. Given that we want her to pick 486, we will need to divide that number by 9 berries to find out how many minutes it will take to get her to that number of berries.

486/9=54

This means that it will take Natalie 54 minutes in order to pick 486 berries.

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3 years ago