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meriva
3 years ago
10

Place a point D along AC such that BD is an altitude of ABC. Using coordinate algebra, find and record the coordinates of point

D to satisfy these requirements. Explain how you arrived at your answer
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Sample answer from Edmentum

Answer:

D = (9.6,0). AC is horizontal with y=0 at all points on AC. Also, because BD is an altitude, it forms a right angle with AC, so BD is a vertical line. For all points on BD, x= 9.6.

Hope this helps, have a good day (:

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Angles are measured in a unit called:
Phantasy [73]

Answer:

Degree

Step-by-step explanation:

3 0
3 years ago
Find the perimeter of the semi circle window to the nearest tenth.<br> 20 cm
Dmitrij [34]

Answer:

628.3 cm

Step-by-step explanation:

The window has a semicircle shape = half of a circle

Perimeter of the window = ½(πr²)

Radius (r) = 20 cm

Plug in the value

Perimeter of the window = ½(π*20²)

= ½(π*400)

Perimeter of the window = 628.31853 ≈ 628.3 cm (nearest tenth)

4 0
3 years ago
A man has n keys on a key ring, one of which opens the door to his apartment. Having celebrated a bit too much one evening, he r
schepotkina [342]

Answer:

The value is   P(3) =  \frac{1}{n}

Step-by-step explanation:

From the question we are told that

   The number of keys is  n

    The number of keys remaining after the first key is chosen is  n-1

    The probability that he gains entrance with the first key he selects is \frac{1}{n}

      Generally the probability that the first key does not open the door is

             p(F_1) = 1 - \frac{1}{n}  =  \frac{n-1}{n}

      Generally the number of keys remaining after the second key is chosen is  

         n-2

      Generally the probability that he gains entrance with the second key he selects is

        \frac{1}{n-1}

       Generally the probability that the second key does not opens the door is

        P(F_2) = 1-   \frac{1}{n-1} = \frac{n-2}{n-1}

   Generally the probability that he gains entrance with the third key he selects is

         \frac{1}{n-2}

Generally the probability that the door opens with the third key

        P(3) =  p(F_1)  * P(F_2)  *  \frac{1}{n-2}

=>       P(3) =  \frac{n-1}{n} *   \frac{n-2}{n-1} * \frac{n-2}{n-1}

=>        P(3) =  \frac{1}{n}

Note :  

      All the outcome of the events are independent

7 0
4 years ago
A square calendar has sides that are 20 Inches long. What is the calendar's perimeter?<br> inches
Naddik [55]

Answer:

80 in.

Step-by-step explanation:

to find the perimeter of a shape you add all of the side lengths together

20+20+20+20

8 0
3 years ago
If x-y=6 and x^2+y^2=24, find x^3-y^3.
erik [133]

Answer:

162.06

Step-by-step explanation:

sorry i'm not the best an explaining but i'm confident in my answer.

the first thing to do is get rid of the ² in x²+y²=24, we do this by √24 which ≅4.90 (i rounded to the hundreth place)

then we have this

x-y=6

x+y=4.90

I am using the elmination method. To do that you need to get two letters to have the same coefficient (in 4x 4 is the coefficient) with oposite signs (one possitive one negitive)

In our equation here we see that the same coefficient is 0, and there is oposite signs for y. Therefore we can add the two equations and get

2x=10.9 (the y cancels out)

now we have a simple equation and all that is left is to solve it

10.9/2=5.45

x=5.45

Now we need to find y we do that by pluging the x value into one of the equations I choose the first one becasue its easiest.

(5.45)-y=6  

y= - .55

now that we have both x and y plug them into the final equation (5.45)³-(-.55)³= 161.89-(-.17) =162.06

Therefore x³-y³≅162.06!

(if you have any questions or would like to debate the answer please let me know!)

3 0
3 years ago
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