We can first convert 9.5 into fraction :
9.5= 9 1/2
Then we can use deduction to find out the answer:
9 1/2 - 6 1/3
=19/2 - 19/3
We change it to the same denominator:
=19×3/6 - 19×2/6
= 57/6 - 38/6
= 19/6
Therefore there are 19/6 or 3 1/6 gallons left in the tank.
Hope it helps!
Answer:
C
Step-by-step explanation:
a is defined first as 5. So a = 5.
b is defined after the circle b = -2
a^2 = 5^2 = 25
B^4 =(- 2)^4 = 16
Therefore sqrt(a^2 * b^4) = sqrt(25 * 16) = sqrt(400) = 20
The answer is C
Answer:
28 days
Step-by-step explanation:
You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.
Hope this helps!
Answer:
5
Step-by-step explanation:
To find B and C prime, you must multiply them by .25, or 1/4.
B' =
(-2 x .25),(1 x .25)
I did mine in fraction form, because it will prove to be more useful in future mathematics.
B' = (1/2 , 1/4)
Repeat the process with C.
C' =
(14 x .25),(17 x .25)
C' =
(7/2 , 17/4)
You only need to focus on B and C because you are finding the length of B'C'.
The formula for distance is the square root of x to the sub of 2 minus x to the sub of 1 squared minus y to the sub of 2 minus y to the sub of 1 square.
x2 - x1 = 7/2 - 1/2 = 6/2 = 3 squared = 9
y2 - y1 = 17/4 - 1/4 = 16/4 = 4 squared = 16
16 + 9 = 25
Square root of 25 is 5.
Therefore, the distance is 5.
Answer:




Step-by-step explanation:
Given
I will answer this question using the attached triangle
Solving (a): Sine and Cosine A
In trigonometry:
and

So:

Substitute values for BC and BA




Substitute values for AC and BA



Solving (b): Sine and Cosine B
In trigonometry:
and

So:

Substitute values for AC and BA




Substitute values for BC and BA



Using a calculator:

So:

-- approximated

-- approximated

So:

--- approximated

--- approximated