Answer:
The vertex is -5/2 and -9/2
Step-by-step explanation:
I looked it up on math
way
Answer:
$6,000 was loaned at 6%
Step-by-step explanation:
Let 'a' represent the amount loaned at 6%. Then the amount of interest from the loans was ...
a·6% + (10000 -a)·16% = 1000
-0.10a +1600 = 1000 . . . . . simplify
600 = 0.10a . . . . . . . . . . . . add 0.10a-1000
6000 = a . . . . . . . . . . . . . . divide by 0.10
The bank loaned $6000 at 6%.
6x+42°=180°(ANGLES ON A STRAIGHT LINE)
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBC
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°m<DBE =90°-18°
IF DF IS PERPENDICULAR TO AC IT MEANS m<DBC =90°m<DBE+m<EBC= m<DBCm<DBE+18°=90°m<DBE =90°-18°mDBE=72°
Hope THIS helps
Part A
The rabbit can eat 70 pounds of food in 80 days. The unit rate is 70/80 = 0.875 pounds of food per day. Multiply this with the 24 days to get the total amount eaten over that timespan.
24*0.875 = 21
<h3>
Answer: 21 pounds of food</h3>
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Part B
x = number of days
The rabbit eats at a unit rate of 0.875 pounds per day. After x number of days pass by, the rabbit has eaten a total of 0.875x pounds of food. Set this equal to 87.5 and solve for x.
0.875x = 87.5
x = (87.5)/(0.875)
x = 100
<h3>Answer: 100 days</h3>
=========================================================
Part C
This is is similar to part A, just with different numbers. We could follow those steps to get the answer, but I'll go another route.
Instead, I'll use a proportion to solve.
(95 pounds)/(65 days) = (x pounds)/(365 days)
95/65 = x/365
95*365 = 65*x
34675 = 65x
65x = 34675
x = 34675/65
x = 533.461538
x = 533.5
<h3>
Answer: 533.5 pounds of food</h3>
Answer:
b = 15°
Step-by-step explanation:
The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:
2c +60 = 180
2c = 120
c = 60 . . . . . . degrees; the base angle of ΔQPR
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Likewise, the base angle (∠SRP) of ΔSPR is ...
a = (180 -90)/2 = 45 . . . . . degrees
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The measure of angle b is the difference between the larger and smaller base angles:
b = c -a = 60° -45°
b = 15°
