Answer:
Ellie needs 1.2 or 1 1/5 cups of flour (as 2/10 simplifies to 1/5).
Please mark me brainliest if this helped!
Answer:
<em>71.6 degrees </em>
Step-by-step explanation:
The formula for calculating the angle between two vectors is expressed as;
u.v = |u||v|cos theta
u.v = (8, 4).(9, -9)
u.v = 8(9)+4(-9)
u.v = 72-36
u.v = 36
|u| = √8²+4²
|u| = √64+16
|u| = √80
|v| = √9²+(-9)²
|v| = √81+81
|v| = √162
36 = √80*√162 cos theta
36 = √12960 cos theta
36 = 113.84 cos theta
cos theta = 36/113.84
cos theta = 36/113.84
cos theta = 0.3162
theta = arccos (0.3162)
<em>theta = 71.6 degrees </em>
<em>Hence the angle between the given vectors is 71.6 degrees </em>
Answer:
24% saline
Step-by-step explanation:
Find how much saline is in both solutions:
7(0.27)
= 1.89
3(0.17)
= 0.51
Add this together:
1.89 + 0.51
= 2.4
Since there are 10 quarts in total, the concentration of the mixture can be found by dividing 2.4 by 10:
2.4/10
= 0.24
So, the concentration of the mixture is 24% saline
Distance traveled in the first hour = 50 miles
Distance traveled in the second hour = 72 miles
Distance traveled in the third hour = 46 miles
Total distance = 50 + 72 + 46 = 168 miles
23 miles = 1 gallon
168 ÷ 23 = 7.30 gallons (nearest hundredth)
Answer: 7.30 gallons
Answer: $45579.10
35000(1+.045)^6
Hope this helps!!!!!!!!!!!!!!
