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3 years ago

Describe how to approximate the value of an irrational number

Mathematics

1 answer:

Vesna [10]3 years ago

4 0

I would either round it to the 10th or 100th place.

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What is the length of the altitude of the equilateral triangle below?

Mazyrski [523]

ANSWER

The length of the altitude is $3\sqrt{3}$ units

EXPLANATION

The altitude of a triangle is the vertical height of the triangle.

From the diagram the altitude is $a$

Method 1: We can use Pythagoras theorem to find $a$

$6^2=a^2+3^2$

$6^2-3^2=a^2$

$36-9=a^2$

$27=a^2$

We take the square root of both sides,

$\sqrt{27}=a$

$\sqrt{9\times3}=a$

$\sqrt{9} \times \sqrt{3}=a$

$3\sqrt{3}=a$

Method 2 Using Trigonometry

$sin(60\degree)=\frac{a}{6}$

$6sin(60\degree)=a$

$a=6\times \frac{\sqrt{3}} {2}$

$a=3\sqrt{3}$

6 0

3 years ago

Read 2 more answers

Calculate the area of triangle ABC with altitude AD, given A(-5, 4), B(-6, 1), C(0, 1), and D(-5, 1).

snow_lady [41]

Answer:

the area of triangle ABC = 9

Step-by-step explanation:

Check the photo below for the details.

3 0

3 years ago

The ratio of Rs 5 to 25 paise is :-

serious [3.7K]

Answer:

1:5

so as the 25 is a multiple of. 5

7 0

3 years ago

Rachel deposited $5,960.32 into a savings account with an interest rate of 4.2% compounded twice a year. About how long will it

ahrayia [7]

You need the compound interest formula solved for time:
Years = log (total / principal) / n * log (1 + rate / n)
Years = log (9,000 / 5,960.32) / 2 * log (1 + .042/2)
Years = log ( 1.509986041) / 2 * log (1.021)
Years = 0.1789729325 / 2 * 0.0090257420869
Years = 0.1789729325 / 0.0180514842 
Years = 9.9145826746 
the answer is "d"

Source:
http://www.1728.org/compint.htm

3 0

3 years ago

Read 2 more answers

A team won 40 of its first 50 games. How many of the remaining 40 games must this team win so it will have won exactly 70% of it

tensa zangetsu [6.8K]

Answer:30

Step-by-step explanation:

6 0

3 years ago