Answer:
x = -9
Step-by-step explanation:
6 - 2/9x = 8
Subtract 6 from each side
6-6 - 2/9x = 8-6
-2/9 x = 2
Multiply each side by -9/2 to isolate x
-9/2 * -2/9x = 2*-9/2
x = -9
Answer:
a/b = 2
so , a = 2b
b/c = 3/4
so , c = 4b/3
c/a = (4b/3) / 2b
which gives 2/3
Step-by-step explanation:
I can’t see the photo sorry
Answer:


Step-by-step explanation:
Given
Represent volume with v, height with h and radius with r

Required
Determine the values of h and r that uses the least amount of material
Volume is calculated as:

Substitute 432π for V

Divide through by π

Make h the subject:

Surface Area (A) of a cylinder is calculated as thus:

Substitute
for h in 


Factorize:

To minimize, we have to differentiate both sides and set 

Set 

Divide through by 


Cross Multiply


Divide through by 2

Take cube roots of both sides
![r = \sqrt[3]{216}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B216%7D)

Recall that:




Hence, the dimension that requires the least amount of material is when


This question is incomplete because it lacks the diagram of the right angles shaped charging stand.
Find attached to this answer, the appropriate diagram.
Answer:
3(tan 50°)
Step-by-step explanation:
To solve this question, we would be using the Trigonometric function called Tangent.
tan θ = opposite side/ adjacent side
θ = 50°
Opposite side (Height)= Side AC = Unknown
Adjacent side = Side BC = 3 inches
Hence,
tan 50° = Side AC/ Side BC
tan 50° = Side AC / 3
Cross multiply
tan 50° × 3 = Side AC
3(tan 50°) = Side AC
Therefore, the expression shows the height, AC, of the charging stand is
3(tan 50°).