Answer:
t ≈ -2.014 or 3.647
Step-by-step explanation:
Add the opposite of the expression on the right side of the equal sign to put the equation into standard form.
4.9t² -8t -36 = 0
You can divide by 4.9 to make this a little easier to solve.
t² -(8/4.9)t -36/4.9 = 0
Now, add and subtract the square of half the x-coefficient to "complete the square."
t² -(8/4.9)t +(4/4.9)² -36/4.9 -(4/4.9)² = 0
(t -4/4.9)² -192.4/4.9² = 0 . . . . simplify
Add the constant term, then take the square root.
(t -4/4.9)² = 192.4/4.9²
t -4/4.9 = ±(√192.4)/4.9
t = (4 ± √192.4)/4.9
t ≈ {-2.014, 3.647}
Step-by-step explanation:
what is the problem ? this is very straight forward with a calculator :
cos(64°) = y/8
y = 8×cos(64°) = 8×0.438371147... = 3.506969174... ≈
≈ 3.5
Answer:
?
Step-by-step explanation:
?
Answer:
The y-int is 4
Step-by-step explanation:
To find m<3, we can use the angle sum of triangles, in which the addition all angles in a triangle must be equal to 180°.
In this case:
m<3 +52°+29° = 180°
m<3 + 81° = 180°
m<3 = 180°-81°
m<3 = 99°
To find m<4, we can use adjacent angles on a straight line, where the addition of angles on a straight line must be 180°.
In this case:
m<4 + 99° = 180°
m<4 = 180°-99°
m<4 = 81°
Therefore m<3 is 99° while m<4 is 81°.
Hope it helps!