Answer:
5. >
6. >
7. <
8. <
9. =
10. >
11. >
12. >
Step-by-step explanation:
5. 9.33 x 10³ = 9330
9330 > 933
6. 2.88 x 10⁻⁵ = 0.0000288
2.9 x 10⁻⁶ = 0.0000029
0.0000288 > 0.0000029
7. 0.33 x 10⁻⁷ = 0.000000033
3.7 x 10⁻⁶ = 0.0000037
0.000000033 < 0.0000037
8. 4.9 x 10⁴ = 49000
4.79 x 10⁵ = 479000
49000 < 479000
9. 3.0 x 10⁶ = 3000000
30 x 10⁵ = 3000000
3000000 = 3000000
10. 2.2 x 10⁻³ = 0.0022
1.7 x 10⁻³ = 0.0017
0.0022 > 0.0017
11. 2.1 x 10⁷ = 21000000
2 million = 2000000
21000000 > 2000000
12. 5.2 x 10¹¹ = 520000000000
8.7 x 10¹⁰ = 87000000000
520000000000 > 87000000000
9514 1404 393
Answer:
(x, y) = (-2, -4)
Step-by-step explanation:
A graphing calculator can provide excellent help with graphing. Apps and websites are available, if your calculator doesn't do that.
The two lines intersect at the solution point: (x, y) = (-2, -4).
144 squared inches. Basically all you have to do is find the the area of a triangle and the square since this is a composite figure and you add all of the possible are of each shape. (Area of triangle = Base • Height • 1/2) (Area of square = Length times width)
Answer:
49°
Step-by-step explanation:
Given vectors:
a = [-8, 6]
B = [√7, 3]
θ = ?
To find the angle between the two vectors, we will be using the formula,
a.B = |a||B|cosθ
For simplicity, it is good to first calculate the dot product, and the magnitudes. Then we will substitute the values of the dot product, and the magnitudes of the vectors to solve for the angle.
Calculating the dot product
a.B = (-8, 6) . (√7, 3)
= (-8 × √7) + (6 × 3)
= -8√7 + 18
= 18 - 8√7
= 10√7
Calculating the magnitude the vectors
1. The magnitude of vector (-8, 6)




2. The magnitude of vector (√7, 3)




Calculating the angle between the vectors,
cosθ = 
cosθ = 
cosθ = 0.6614
θ = cos⁻¹0.6614
θ = 48.59°
θ = 49°
The answer would be the second one.