Answer:
22m
Step-by-step explanation:
Let height of flagpole=h
AB==17 m
(1 degree= 60 minute)

We have to find the approximate height of the flagpole.
In triangle CDA,


In triangle CDB,



Substitute the value




Substitute the value

Hence, the height of the flagpole=22 m
X = tuna, y = BLT
x + y = 30
6x + 9y = 240
3y = 60
y = 20
x = 10
20 BLTs for $2.50, 10 tuna for $1.50
Answer:
5. x = -1 or x = -3
6. b = -2 or b = 6
7. n = 5 or n = 4
Step-by-step explanation:
5. x² + 4x + 3 = 0
Factorize
x² + 3x + x + 3 = 0
x(x + 3) +1(x + 3) = 0
(x + 1)(x + 3) = 0
Set each of the factors equal to zero and solve for x
x + 1 = 0 or x + 3 = 0
x = -1 or x = -3
6. b² - 4b - 14 = -2
Put all terms on one side of the equation leaving zero on one side
b² - 4b - 14 + 2 = 0
b² - 4b - 12 = 0
Factorize
b² - 6b + 2b - 12 = 0
b(b - 6) +2(b - 6) = 0
(b + 2)(b - 6) = 0
Set each of the factors equal to zero and solve for b
b + 2 = 0 or b - 6 = 0
b = -2 or b = 6
7. n² = 9n - 20
Put all terms on one side of the equation leaving zero on one side
n² - 9n + 20 = 0
n² - 5n - 4n + 20 = 0
n(n - 5) -4(n - 5) = 0
(n - 5)(n - 4) = 0
Set each of the factors equal to zero and solve for b
n - 5 = 0 or n - 4 = 0
n = 5 or n = 4
Answer:
4.75b+3.50=15.00
Step-by-step explanation:
4.75b+3.50=15.00
4.75b=11.50
b=2.42
She can buy 2 bags of fruit
Answer:
40 mph <3
Step-by-step explanation:
Trust me, it isn't that bad. Miles per hour is what we would call a rate. In this case, this rate is made up of distance over time. They have given us this distance (1/4 of a mile) and time (22.5 seconds).
First off, lets convert our fraction to a decimal.
1/4 = 0.25
DistanceTime=mph
We must notice that out units for time are different than the rate. Therefore we must convert seconds to hours.
There are 60 seconds in a minute and 60 minutes in an hour.
60 x 60 = 3,600
22.5s×1hour3600s=0.00625hour
Now that we have the correct units, we can do our distance over time formula.
0.25mile0.00625hour=40mph
Sorry, I hope this is correct!!