Answer:
a.
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:

Answer:
7/24 Is The Answer!
Step-by-step explanation:
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
1/4 Divided by 6/7 = 1/4 ₓ 7/6
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
1/4 times 7/6 = 7/24
The result Is
1/4 divided by 6/7 = 7/24
Answer:
X = 5
Step-by-step explanation:
3x + 12 + 9x = 72
okay hopefully i can explain so when your doing this combine like terms so
3x + 9x = 12x
12x + 12 = 72
then you would subtract both sides by 12
+12 = subtract x+12=2
- 12 = add x-12=2
there just flipped so in this case i would subtract 12
12x + ( 12-12) = ( 72-12 )
so 12-12 = 0 and 72-12 is equal to 60
12x = 60
the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5
so X = 5
hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps
Answer:
Please see explanation
Step-by-step explanation:
When two integers are being added there can be three cases in the answer
The sum will be positive if both the integers are positive and in case of addition of one positive and negative integer, the sum will be positive if the integer with larger magnitude is positive
The sum will be negative if both integers are negative and in case of addition of one positive and negative integer, the sum will be negative if the integer with larger magnitude is negative
The sum will be zero if both the integers have same magnitude and different signs.
Answer:
The answer is 13/15 gallons.
Step-by-step explanation:
2/3 + 1/5
10/15 + 3/15 = 13/15