Answer:
15.09
Step-by-step explanation:
with reference angle 28°
perpendicular (p) = 8
base (b) = x
Now
tan 28° = p / b
0.53 = 8 / x
x = 8 / 0.53
x = 15.09
About 0.3 degrees, by estimation.
The sixty-to-one rule is useful here. At a distance of 60 units, the angle in degrees and the distance (in units) are about equal for small angles.
Thirty to two inches is the same as sixty to four inches, about a third of a foot, so the angle must be about a third of a degree. Rounded it gives 0.3.
My horribly antiquated TI-82 thinks the answer is about 0.3183 by this methodtan−1(1/180)≈0.3183
Answer:
6.302 x 
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Assuming that the balls are perfect sphere, then we can use the formula for the volume of the sphere to solve the volume of the ball. the volume of a spher is given by the formula:
V = (4/3) pi r^3
where pi = 3.1416
r is the radius
since D = 9 in
r = 4.5 in
V = ( 4/3 ) (3.1416) ( 4.5)^3
V = 381.7 cubic inches is the volume of one of the balls.
Answer:
y < -1/2
Step-by-step explanation:
Step 1 :
8
Simplify —
3
Equation at the end of step 1 :
4 8
— - (0 - (— • y)) < 0
3 3
Step 2 :
4
Simplify —
3
Equation at the end of step 2 :
4 -8y
— - ——— < 0
3 3
Step 3 :
Adding fractions which have a common denominator :
3.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 - (-8y) 8y + 4
————————— = ——————
3 3
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
8y + 4 = 4 • (2y + 1)
Equation at the end of step 4 :
4 • (2y + 1)
———————————— < 0
3
Step 5 :
5.1 Multiply both sides by 3
5.2 Divide both sides by 4
5.3 Divide both sides by 2
y+(1/2) < 0
Solve Basic Inequality :
5.4 Subtract 1/2 from both sides
y < -1/2
Inequality Plot :
5.5 Inequality plot for
2.667 X + 1.333 < 0
One solution was found :
y < -1/2
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