Answer:
A. 90
Step-by-step explanation:
Rotating an angle does not change its measure. ABC is 90 degrees as marked by the corner symbol. After rotating, the angle stays 90 degrees.
Answer:
a) F= 4
i + 4 j
b) Θ=11.3
c) The work done is 20
Step-by-step explanation:
a) ||F||=8, α=π/4
Fx=||F||·sin(π/4)=8·
Fy=||F||·cos(π/4)=8·
F=Fx i + Fy j = 4 i + 4 j
b) We can find the value of Θ using the equation:
cos(Θ)=
where:
D= 3 i + 2 j
F=4 i + 4 j
The dot product is defined as the sum of the products of the components of each vector as:
F · D= 
||F||= 8
||D||= 
Hence:
Θ=arccos(
)
Θ=arccos(0.981)
Θ= 11.3°
c) Work is equal to:
F · D= =28.3
Other way of obtainig the work is:
||F||||D||cos(Θ)
where:
||F||= 8
||D||=
Θ=11.3°
So, ||F||||D||cos(Θ)=8×
×cos(11.3°)=28.3
Answer:
The sum of the coefficients of the terms in (-1.5·x² + 0.5·x + 4)¹⁶ that have even degree is -4273411167.501
Step-by-step explanation:
The parameters given are;
f(-4) = -22
f(-1) = 2
f(2) = -1
g(x) = f(x)¹⁶
The function f(x) is presented as follows;
f(x) = a·x² + b·x +c
We have;
-22 = a·(-4)² + b·(-4) +c
-22 = a·16 - 4·b +c ..............(1)
2 = a·(-1)² + b·(-1) +c
2 = a - b +c...........................(2)
-1 = a·(2)² + b·(2) +c
-1 = 4·a + 2·b +c...................(3)
Solving the equations (1), (2), and (3) by using an online linear systems solver, we get;
a = -1.5, b = 0.5, c = 4
Therefore, f(x) = -1.5·x² + 0.5·x + 4
f(x)¹⁶ = (-1.5·x² + 0.5·x + 4)¹⁶ which gives the coefficients of the even terms as follows;
656.841 - 19267.331 + 248302.054 - 1772904.419 + 6735603.932 - 2868054.635 - 119602865.901 + 750783340.827 + -2542435585.611 + 5338903756.992 - 6048065910.25 -1031335136 + 17223697920 - 32238338048 + 32107397120 - 17716740096 = -4273411167.501.
That is not enough information.
If you look at the graphic, diagonal BD (along with point E), can be moved up and down the long diagonal and the two diagonals will still have the same length. You need to state additional information.
Answer:
Please read the answer below.
Step-by-step explanation:
1. Australia:
75 * 1.87 =140 Australian dollars
2. Brazil:
75 * 2.32 = 174 Reals
3. Britain:
75 * 0.69 = 52 Pounds
4. Canada:
75 * 1.60 = 120 Canadian dollars
5. China:
75 * 8.28 = 621 Yuan
6. Denmark:
75 * 8.43 = 632 Kroner
7. Japan:
75 * 131.55 = 9,866 Yen
8. Mexico:
75 * 9.19 = 689 Mexican pesos
9. South Africa:
75 * 11.9 = 893 Rands
10. Sweden:
75 * 10.61 = 796 Kronor
11. Switzerland:
75 * 1.68 = 126 Francs
12. Thailand:
75 * 44.18 = 3,314 Baht
All currencies rounded to the next integer.
Note: Same answer to question 14454918, answered by me today.
