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)
Sholpan [36]
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.
Answer:
hmmm
Step-by-step explanation:
wish i could see the diagram to help
The question is given to be:

Applying the law of indices:

Therefore, we have the expression to be:

Recall the law of negative exponents:

Therefore, the expression becomes:

The expression is also equivalent to:

Since:

ANSWER
The correct options are OPTION C, OPTION E, and OPTION F.
Answer:
a = 8
Bottom and top length are 68
left and right are 28
Step-by-step explanation:
6a + 20 = a + 60 (same length do to the little tick marks)
5a = 40 (subtract 1a from both sides and 20 from both sides)
a = 8 (Divide)
Answer:
C. 1/10
Step-by-step explanation:
To find the value of a digit in a number, set all the other digits to zero.
The value of the 5 in 634,952 is 000,050 = 50.
The value of the 5 in 43,597 is 00,500 = 500.
We want to find the multiplier k such that ...
50 = k×500 . . . . . . . 50 is "k" times 500
Divide by 500 to see ...
50/500 = k = 1/10
The value of 5 in the first number is 1/10 times the value of 5 in the second number.