Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
Answer:
1,728,000
Step-by-step explanation:
there are 86400 seconds in a day so you have to multiply 86400 times 20
Answer:
It took 14 hours to get out of the well.
Step-by-step explanation:
Consider the provided information.
The well was 70-feet deep, the frog climbs 7 feet per hour, and it slips back 2 feet while resting.
In first hr frog climbs 7 feet and slips back 2 feet, that means it climbs 5 feet in an hour.
In 2 hour it climbs 2 × 5 = 10 feet, in 3 hours it climbs 3 × 5 = 15 feet and so on.
Now we need to find the time taken by the frog to get out of the well.
By observing the above pattern we can say that after 13 hours it can climb 65 feet.
13 × 5 = 65 feet
In next hour frog will climb 65 feet + 7 feet = 72 feet.
That means after 14 hours frog can get out of the well.
Hence it took 14 hours to get out of the well.
Answer:
2x² − 4x + 3
Step-by-step explanation:
x = 2/3 is a root of both the numerator and the denominator, so it divides evenly. Therefore, one method is to factor by grouping:
6x³ − 16x² + 17x − 6
6x³ − 4x² − 12x² + 17x − 6
2x² (3x − 2) − (12x² − 17x + 6)
2x² (3x − 2) − (4x − 3) (3x − 2)
Divided by 3x − 2:
2x² − (4x − 3)
2x² − 4x + 3
Another method is to use long division (see image).