- 4x from 8x = 4x
-9 + 19 = 4x -14
-9 + 19 = 10
10 = 4x -14
+14
24 = 4x
divide by 4
X = 6
Formula for volume of sphere V = 4/3 (Pi) r^3, where Pi ~ 3.14 and r is the radius = 7.
Therefore V = 4/3 * 3.14 * 7^3
= 4/3 * 3.14 * 343
= 4/3 * 1077.02
= 1,436.02667 cubic units
Answer:
The answer to your question is x = 3; y = 3
Step-by-step explanation:
Data
angle = 45°
Opposite side = x
Adjacent side = y
hypotenuse = 3√2
To solve this problem, use trigonometric functions.
1) To find x, use the trigonometric function sine.
sin Ф = Opposite side / hypotenuse
-Solve for Opposite side (x)
Opposite side = hypotenuse x sin Ф
-Substitution
Opposite side = 3√2 sin 45
-Simplification
Opposite side = 3√2 (1 / √2)
Opposite side = 3(1)
-Result
x = 3
2) To find y use the trigonometric function cosine
cos Ф = Adjacent side / hypotenuse
-Solve for Adjacent side
Adjacent side = hypotenuse x cos Ф
-Substitution
Adjacent side = 3√2 x cos 45
-Simplification
Adjacent side = 3√2 x (1/√2)
Adjacent side = 3(1)
-Result
y = 3
Answer:
25/6 or 4 1/6
Step-by-step explanation:
1) convert these fractions to improper fractions first:
8/3+3/2
make like denominators by multiplying 8/3 by 2 and 3/2 by 3
so 8*2/3*2=16/6
3*3/2*3=9/6
16/6+9/6=25/6
Hope this helps!
Answer:
$1470
Step-by-step explanation:
98,000 
100%
x 1.5%
