<span>From the problem, you can get this equation:
Jane is 2 years older than Sally
J=z+2
David is 4 times older than Jane.
D=4J
</span>Write two equivalent expressions that represent David’s age in terms of Sally’s age, z, and explain how the two expressions relate to one another.<span>Sally is z years old.
From the 2 equation above, you can get:
</span>D=4J
D=4(z+2)
D=4z+8
D-8=4z
(D-8)/4=z
The two equivalent expression would be D=4z+8 and (D-8)/4=z
The expression that more usefull would be D=4z+8 if you want to determine David age.
Answer:
The volume of the cone is;
100 π inches^3
Step-by-step explanation:
To calculate the volume, we need the height
We can get the height from the slant height and the radius
Mathematically, we use Pythagoras’ theorem for this as the slant height, the radius and the height forms a right-angled triangle
The right-angled triangle has the slant height as its hypotenuse
By the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Let the height be h
Thus;
12^2 = 5^2 + h^2
169= 25 + h^2
h^2 = 169-25
h^2 = 144
h = √1144 inches = 12 inches
The volume of the cone is;
1/3 * π * r^2 * h
= 1/3 * π * 5^2 * 12
= 100 π inches^3
Estimate to 200$ and multiply by 5 to get $1000 then $179 mulitiplied by 5 is $895
Answer:
<em>Sin 2 (30)°= </em>
Step-by-step explanation:
<u><em>Explanation:-</em></u>
<em>Given that Sin 2 (30)°</em>
<em>we know that the formula sin2θ = 2sinθ cosθ</em>
<em> Given that θ = 30</em><em>° </em>
<em> Now </em>
<em> sin2(30)° = 2sin30° cos30°</em>
<em> </em>
<em> </em>
<em> After cancellation, we get</em>
<em> Sin 2 (30)° = </em>
<u><em>Final answer:-</em></u>
<em> Sin 2 (30)° = </em><em> </em>
<em></em>
Answer:10/60
If need to simply it is 1/6.
Step-by-step explanation: Mutiply 5/12 by 2/5 .
