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elixir [45]
3 years ago
13

Homework: Wk 3 Homework - Updated

Mathematics
1 answer:
Amanda [17]3 years ago
5 0
A regular triangle has a side length
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If
Fudgin [204]
Triangle DEF hope that helps
4 0
3 years ago
!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

3 0
3 years ago
A person sights a boat from 235 feet above sea-level as shown. If the angle of depression from the man to the boat is 21 , then
Evgen [1.6K]

Answer:

B = 612.2 ft

Step-by-step explanation:

Solution:-

- The elevation of person, H = 235 ft

- The angle of depression, θ = 21°

- We will sketch a right angle triangle with Height (H), and Base (B) : the boat's distance to the edge of the cliff and the angle (θ) between B and the direct line of sight distance.

- We will use trigonometric ratios to determine the distance between boat and the edge of the cliff, using tangent function.

                             tan ( θ ) = H / B

                             B = H / tan ( θ )

                             B = 235 / tan ( 21 )

                             B = 612.2 ft    

4 0
2 years ago
Read 2 more answers
3
Anastaziya [24]

Answer:

2329 are girls out of 37 boys in school in 2366 total

8 0
3 years ago
What is the sum of 5x^2y and (2xy^2 + x^2y)
eimsori [14]
Recognize that you must combine "like" terms.  5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.  

Now add 2xy^2 to 6x^2y.  These are NOT "like" terms, so you end up with 
6x^2y+2xy^2 as your final answer.  This answer is acceptable as is.  

However, you could factor out the common factors:  2xy(3x+y).
8 0
2 years ago
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