Answer:
g = 3.5
f = 78°
<u>Finding</u><u> </u><u>g</u><u>:</u>
25 is parallel to 8g - 3, so they are equal to each other.
25 = 8g - 3
28 = 8g
g = 3.5
<u>Finding</u><u> </u><u>f</u><u>:</u>
72° create a sum of 180° when adding to (f + 30) because they are supplementary.
72 + f + 30 = 180°
102 + f = 180°
f = 78°
Hope this helps!
Answer:

Step-by-step explanation:
step 1
<em>Calculate the volume of the cylinder (flower vase)</em>
The volume is equal to

we have
-----> the radius is half the diameter

substitute the values
------> exact value
step 2
Calculate 2/3 of the volume

Answer:
$114.3
Step-by-step explanation:
Number of hours worked last week = 12hrs
Amount earned for her work hours = $98
The rate at which she earned = ?
Rate =
Rate =
= $8.17/hr
Now;
Since the total hours she worked during the weekend = 14hrs
Amount earned = $8.17/hr x 14hrs = $114.3
Answer: The last choice is correct. Edna can score 5 times as many points in the next level as in the level she has reached
Step-by-step explanation: chart of values for
x is the level y, points possible)
x y
1 5
2 25
3 125
4 625
5 3125
You can see the exponential pattern
For what it's worth, two views of the graph of the equation are attached
The point values are astronomical!
Answer:
See explanation
Step-by-step explanation:
Solution:-
- We will use the basic formulas for calculating the volumes of two solid bodies.
- The volume of a cylinder ( V_l ) is represented by:

- Similarly, the volume of cone ( V_c ) is represented by:

Where,
r : The radius of cylinder / radius of circular base of the cone
h : The height of the cylinder / cone
- We will investigate the correlation between the volume of each of the two bodies wit the radius ( r ). We will assume that the height of cylinder/cone as a constant.
- We will represent a proportionality of Volume ( V ) with respect to ( r ):

Where,
C: The constant of proportionality
- Hence the proportional relation is expressed as:
V∝ r^2
- The volume ( V ) is proportional to the square of the radius. Now we will see the effect of multiplying the radius ( r ) with a positive number ( a ) on the volume of either of the two bodies:

- Hence, we see a general rule frm above relation that multiplying the result by square of the multiple ( a^2 ) will give us the equivalent result as multiplying a multiple ( a ) with radius ( r ).
- Hence, the relations for each of the two bodies becomes:

&
