Answer:
10
Step-by-step explanation:
We solve using Pythagoras Theorem. Pythagoras Theorem is used to solve for the missing side of a right angled triangle.
The formula for Pythagoras Theorem =
c² = a² + b²
c = √a² + b²
Where c is the longest side
From the above diagram, we are looking for c
c = ?
a = 6
b = 8
Hence,
c = √6² + 8²
c = √36 + 64
c = √100
c = 10
Therefore, side c = 10
Answer:

Step-by-step explanation:
<u>Volume of a Pyramid</u>
The volume of a pyramid with base area Ab and height H is given by:

If the base is a square of side length L, then its area is:

Thus, substituting the above equation in the first:

The side length is L=10.9 m and the height is 4.7 m, thus the volume is:



Answer: OPTION D.
Step-by-step explanation:
The vertex form of a quadratic function is:

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.
We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.
Then we can substitute values into
and solve for "a". This is:
Answer:
x = 12
Step-by-step explanation:
Proportional relationship means that
= k(a constant)
Here, k = 12/8 = 3/2
So, the equation is
= 3/2.
Plug in y = 18, and we get 18/x = 3/2.
18 = 3/2x
x = 12
Answer:
a
Yes
b

c

d

Step-by-step explanation:
From the question we are told that
Two fair dice, one green and one red were rolled
Generally the outcomes on the dice independent because the outcome on the first dice is not affected by the second die
Generally the probability of getting a 1 on a dice rolled is 
the probability of getting a 5 on a dice rolled is 
Generally the probability of P(1 on green die and 5 on red die) is mathematically represented as


Generally the probability of P(5 on green die and 1 on red die) is mathematically represented as


Generally the probability of P((1 on green die and 5 on red die) or (5 on green die and 1 on red die)) is mathematically represented as

