4. 1,50
5. 0,50
6. Tawni swims the fastest because she swims at roughly 0,8 meters per second which is faster than the other two contestants.
y = −2x + 13
y = 2x − 3
Set the equations to equal and solve for x:
-2x + 13 = 2x -3
Add 2X to each side:
13 = 4x -3
Add 3 to each side:
16 = 4x
Divide both sides by 4:
x = 16/4
x = 4
Now replace x with 4 in one of the equations and solve for y:
y = -2(4) +13
y = -8 +13
y = 5
x = 4 and y = 5 , which is the ordered pair (4,5)
Both numbers are positive values, so the second graph is correct.
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.
The easiest way to do this is to write the decimals with equal amount of places after the dot and you'll see it more clearly:
1.09 = 1.090
1.901 = 1.901
1.9 = 1.900
1.19 = 1.190
So from the least to the greatest:
1.090
1.190
1.900
1.901
In a form you gave at the beginning:
1.09 < 1.19 < 1.9 < 1.901