Answer:
5. x = 25.6
6. x = 11.0
7. x = 41.8°
8. x = 64.2°
9. x = 12.8°
10. x = 51.3°
Step-by-step explanation:
Let's find the x value for each triangle.
<u>For point 5</u>
We have:
x: is the opposite cathetus to 52°
20: is the adjacent cathetus to 52°
52°: is the angle
We can find "x" with the following trigonometric function:


<u>For point 6</u>
We have:
x: is the hypotenuse
5: is the opposite cathetus to the given angle
27°: is the angle
To find "x" we need to use the trigonometric function:


<u>For point 7</u>
We know:
x°: is the angle
6: is the hypotenuse
4: is the opposite cathetus to x°
Hence, x is:


<u>For point 8 </u>
We have:
x°: is the angle
14: is the adjacent cathetus to x°
29: is the opposite cathetus to x°
To calculate "x" we need to use the trigonometric function tan(x):


<u>For point 9</u>
We have:
x°: is the angle
54: is the hypotenuse
12: is the opposite cathetus to x°
We can use sin(x) to solve for x:

<u>For point 10</u>
We have:
x°: is the angle
40: is the hypotenuse
25: is the adjacent cathetus to x°
We need to use cos(x) to solve for x:

I hope it helps you!
To answer this item, first we subtract the $100 payment Alex made from the previous balance. That will give us an answer of $3,594.23. Then, we add the new transaction to the calculated value above giving us $3829.23. Multiplying the new transaction by 0.192 and adding the answer to $3829.23 will give us an answer of $3,874.35. Thus, the nearest answer is the third choice.
Answer:
x = 6, ∠ B = 126°
Step-by-step explanation:
∠ A and ∠ B are alternate angles and congruent, so
8x + 78 = 2x + 114 ( subtract 2x from both sides )
6x + 78 = 114 ( subtract 78 from both sides )
6x = 36 ( divide both sides by 6 )
x = 6
Then
∠ B = 2x + 114 = 2(6) + 114 = 12 + 114 = 126°
N/-2 > 4 is same as N/-2 * -2 > 4* -2
So, N < -8 (N should be always less than -8)
Answer:
D) 9000 m³
Step-by-step explanation:
volume = 30 x 30 x 10 = 9000 m³