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3 years ago

Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?

Mathematics

1 answer:

Archy [21]3 years ago

6 0

Answer:

$X=25.98cm$

Step-by-step explanation:

From the question we are told that:

Length of each side $l=30cm$

Let the triangle be divide by two form a right angle triangle with base angles as $90 \textdegree$ (angle of perpendicularity) and $60 \textdegree$ (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

$X=30sin60$

$X=15\sqrt{3}$

$X=25.98cm$

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A 40 inch board is to be cut into three pieces so that the second price is 4times as long as the first piece and the third piece

Anastasy [175]

Answer:

Step-by-step explanation:

Givens

Let the first piece be x

Let the second piece 4x

Let the third piece = 5x

Total length = 40 inches.

Equation

x + 4x + 5x = 40 Combine

Solution

10x = 40 Divide by 10

10x/10 = 40/10

x = 4

Answer

The smallest piece (x) = 4

The middle piece 4x = 4*4 = 16

The largest piece 5x= 5 * 4 = 20

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1 year ago

6. If b>6, then 3b + 3 could be<br> A. 18<br> B. 19<br> C. 20<br> D. 21<br> E. 22

Gala2k [10]

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

3(6) + 3
18 = 3
21

Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

7 0

2 years ago

What is the absolute deviation from the mean for the following values

Doss [256]

12, 20, 16, 10, 17, 9, 23, 13
1. add them all up
=120
divide by the number of numbers
120/8
=15
15 is the MAD

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3 years ago

Which number line models the expression -3 + 5 ?

damaskus [11]

I think the answer would be B

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3 years ago

Naoya read a book cover to cover in a single session, at a rate of 555555 pages per hour. After reading for 444 hours, he had 33

siniylev [52]

Answer:

<h3>The function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>

Step-by-step explanation:

Given that "Naoya read a book at a rate of 55 pages per hour".

After reading book for 4 hours, he had 330 pages remaining to read.

In 4 hours, Naoya must read is given by

$\frac{55}{1hr}\times 4hr$ ( by given)

$=220$

<h3>∴ In 4 hours, Naoya must read 220 pages</h3>

From the given there were 330 pages remaining to read at the time,

The total number of pages is given by

=220+330

=550

<h3>∴ The total number of pages is 550 </h3>

For each hour of reading, Naoya reads 55 pages, so the number of pages he finished reading by the "t"th hour is given by 55t

Let P(t) be the number of pages to read where P is a function of time t (measured in hours)

So the number of pages left to read is given by

P(t)=550-55t

P(t)=55(10-t)

<h3>∴ the function formula for the number of pages left to read is given by P(t)=55(10-t).</h3>

3 0

3 years ago