Answer:
x = 6
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular end and l is its length )
A =
bh = 0.5 × 9 × 4 = 18 cm² , then
V = 18 × 12 = 216 cm³
The volume of a cube is
V = s³ ( s is the side length ) , so
s³ = x³ = 216 ( take the cube root of both sides )
x =
= 6
Answer:


Step-by-step explanation:
Given
See attachment for triangles
Solving (a)

The tan of an angle is:

From the given triangle.


So, we have:

Solving (b)

The cos of an angle is:

From the given triangle.


So, we have:

Answer:
74
Step-by-step explanation:
Order of operations: PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction)
5(9)+2(6) ÷ 3 + 
= 45+12÷ 3 +25
=45+4+25
=74
Answer:
4 packs of invitations and 2 packs of napkins.
Step-by-step explanation:
Answer:
-1.5x + 70
Step-by-step explanation:
Total money he takes while going to the fair = $90
Money he spends to enter the fair = $5
Money he spends on food =$15
Total he spent now is given by
Now, he spend on rides at the fair i.e. 1.50 per ride .
Let the number of rides be x
So, cost incurred on rides = 1.5x
So, the spending money can be expressed as
Now, remaining money left to him after spending on x rides too is
Let f(x) denotes the function used to determine the money he has left over after rides .
So it becomes
f(x) = 70 - 1.50x
f (x) = -1.50x +70