4. We can estimate the price per pound by rounding 14.5 up to 15, and rounding $25.52 to to $26. We can estimate that the price per pound is around $1.73
5. The price per pound of the beans is $1.76. To find the unit rate, you divide the price by the amount of the item. 25.52/14.5 = 1.76
6. Jeff walked 4.2 hours in total. 8.84/3.4 = 2.6
2.6 + 1.6 = 4.2
Answer:
19.5
Step-by-step explanation:
Here is a key factors in triangles, it must add up to 180 degrees.
You have three angles in a triangle ABC,
A = 127
B = 33.5
C = ?
In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5
CHECK:
Add 127+33.5+19.5 = 180! Yes!
PLs mark brainliest if you can! :)
Answer:
x=-8
Step-by-step explanation:
16x+35 = -93
subtract 35 from each side
16x = -93 -35
16x = -128
divide each side by 16
x = -128/16
x=-8
Step-by-step explanation:
Left hand side:
4 [sin⁶ θ + cos⁶ θ]
Rearrange:
4 [(sin² θ)³ + (cos² θ)³]
Factor the sum of cubes:
4 [(sin² θ + cos² θ) (sin⁴ θ − sin² θ cos² θ + cos⁴ θ)]
Pythagorean identity:
4 [sin⁴ θ − sin² θ cos² θ + cos⁴ θ]
Complete the square:
4 [sin⁴ θ + 2 sin² θ cos² θ + cos⁴ θ − 3 sin² θ cos² θ]
4 [(sin² θ + cos² θ)² − 3 sin² θ cos² θ]
Pythagorean identity:
4 [1 − 3 sin² θ cos² θ]
Rearrange:
4 − 12 sin² θ cos² θ
4 − 3 (2 sin θ cos θ)²
Double angle formula:
4 − 3 (sin (2θ))²
4 − 3 sin² (2θ)
Finally, apply Pythagorean identity and simplify:
4 − 3 (1 − cos² (2θ))
4 − 3 + 3 cos² (2θ)
1 + 3 cos² (2θ)
