<h3>
<u>Explanation</u></h3>
- Given the system of equations.
- Substitute x = 4 in the first equation.
We have both x and y values. Therefore, we can answer in coordinate point form.
<h3>
<u>Answer</u></h3>
<u>
</u>
Answer:
79.6 cm^3
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
sphere A radius 2 cm so r[A] = 2 cm
sphere B radius 3 cm so r[B] = 3 cm
distance between the surfaces of the 2 spheres is 1 cm
To find volume of each sphere and the difference in volume:
pi r^2 * r - (1/3) pi r^2 * r = (2/3) pi r^3
In a triangular prism, B usually stand for the triangular base of the prism. It is the area of the triangle.
Area of a right triangle = ab/2
a = long leg ; b = short leg
Given measures are:
a = 4 yd ; b = 3 yd
A = (4 yd * 3 yd)/2 = 12 yd² / 2 = 6 yd² is the value of B.
the hypotenuse is 5 yd but it is not needed to get the area of the right triangle base. 7 yd is the measure of the height of the triangular prism.
Answer:
the length of the hypotenuse must be 10.
Step-by-step explanation:
This is a right triangle, so we can apply the Pythagorean Theorem.
6² + 8² = 10² so the length of the hypotenuse must be 10.
Step-by-step explanation:
1) x/20 = -9
By cross multiplication,
x = -180
2) -168 = -14k
k = -168/-14
k = 12
3) -5m = -50
m = 10
4) -320 = -20n
n = 16
5) -4 = x - 5
x = 1
6) -6(-8 + n) = -54
42 - 6n = -54
-6n = -54 -52
6n = 106
n = 17.6
7) 3(x - 9) = -3
3x - 27 = -3
3x = 24
x = 8
8) 9k + 3 = -78
9k = -81
k = -9
9)4 + (n/4) = 8
By taking LCM,
16 + n/4 = 8
16 + n = 32
n = 16
10) -5r + 7 = -73
-5r = -80
r = 16
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
