Answer:
The correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Step-by-step explanation:
Points to remember
The angles of a right angled triangle, 30°, 60° and 90° then sides are in the ratio, 1: √3 : 2
<u>To find the value of variables</u>
From the figure we can see 2 right angled triangle with angle 30, 60 and 90
we get, d= 5 then b = 5√3
b = 5√3 the c = 5√3 * √3 = 15
and a = 2 * 5√3 = 10√3
Therefore the correct answer is option C
a = 10√3, b = 5√3, c = 15 and d = 5
Answer:
10,800
-1200
Step-by-step explanation:
Given that :
40 units of maple sap = 1 ounce of maple syrup
Using a 20 - ounce bottle, 2 ounces of air is left
Ounces of actual syrup = (20 - 2) = 18 ounces
Number of maple sap required to fill 15 bottles :
Number of maple saps required to fill 18 ounces bottle :
40 units = 1 ounce
x = 18 ounces
Hence, for 18 ounces of maple syrup :
(40 * 18).= 720 units of maple sap
For 15 bottles of 18 ounces maple syrup:
(720 * 15) = 10,800 units of maple sap
If they had filled each bottle to the top:
(40 * 20 * 15) = 12000 units of maple sap
10,800 - 12000 = - 1200 units of maple sap
Trinomials simply have 3 terms. The answer is C
Answer:
94,080 cm^3
Step-by-step explanation:
V= L • W • H
V= 42 • 35 • 64
V= 94,080
Hope this helps, good luck!
Answer:
Volume = ⅓n²(n-1) or ⅓(n³ - n²)
Step-by-step explanation:
Given
Solid Shape: Right pyramid
Edge= n units
Height= n - 1 units
Required
Volume of the pyramid
The volume of a right pyramid is
Volume = ⅓Ah
Where A represents the area of the base
h represent the height of the pyramid
Since it has a square base;
The area is calculated as follows
Area, A = edge * edge
A = n * n
A = n²
Recall that
Volume = ⅓Ah
Substitute n² for A and n - 1 for h
The expression becomes
Volume = ⅓ * n² * (n - 1)
Volume = ⅓n²(n-1)
The expression can be solved further by opening the bracket
Volume = ⅓(n³ - n²)
