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vredina [299]
3 years ago
10

Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

Answer:

The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.

Step-by-step explanation:

The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.

Thank you for reading this and I hope it is helpful to you.

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What is the answer to this following equation (2•5)-56+102(4•215)
Hoochie [10]

Answer:

87674

Step-by-step explanation:

Order of Operations (PEMDAS)

(2×5)-56+102(4×215)

Do parentheses

(10)-56+102(860)

multiply

10-56+87,720

addition and subtract left to right

-46+87720

87674

5 0
3 years ago
The endpoints of CD are C(–8, 4) and D(6, –6). What are the coordinates of point P on CD such that P is the length of the line s
Arturiano [62]
If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line.  
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.  
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D".  Were you given a length P to help you determine which point.  Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given.  The image shows the distances I calculated and the graphed points. 
I hope this helps!</span>

3 0
3 years ago
Read 2 more answers
What number increased by 3,080 equals 5,082?
kodGreya [7K]
Let the required number be x, then
x + 3,080 = 5,082
x = 5,082 - 3,080
x = 2,002
8 0
3 years ago
Please answer this correctly
Amanda [17]

Answer:

Step-by-step explanation:

If we divide 9,795 by 7 we get:

=1399.28571429

Rounding to the nearest hundredth:

Underline the hundredths place: 1399.2<u>8</u>571429

Look to the right. If it is 5 or above 5 then we give it a shove.

If it is 4 or less than 4, we let it go.

In our case it is 5. We will add 1 in 8, then it will become 9. 28 will be rounded off as 29.

Therefore the answer after rounding off to the nearest hundredth is 1399.29....

4 0
3 years ago
Evaluate the expression for the given value.<br><br> 3x(x−2), when x=7
Alexeev081 [22]

Answer:

105

Step-by-step explanation:

Substitute X for 7:      3(7)(7-2)

Simplify:                      21(5)

Multiply:                       105

6 0
3 years ago
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