Answer:
11 25/64 in ^3
Step-by-step explanation:
Volume of a cube is given by
V = s^3
s = 2 1/4 = 9/4
V = (9/4) ^3
= 729/64
=11 25/64 in ^3
Answer:
see explanation
Step-by-step explanation:
The 2 angles form a right angle, thus their sum is 90°, hence
4x + 7 + 35 = 90
4x + 42 = 90 ( subtract 42 from both sides )
4x = 48 ( divide both sides by 4 )
x = 12
-----------------------------------------------------
To calculate the slope m use the slope formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 4) ← 2 points on the line
m =
=
= 4
Answer:
d) The probability spinner will land on black all three times is 1/8
Step-by-step explanation:
The probability of landing on black = 1/2
The probability of landing on red = 1/3.
Now, if the spinner is spun 3 times.
The probability it will land on black all three times
= 
= 
Hence, the probability spinner will land on black all three times is 1/8.
Exact- X= -27/14
Decimal- x= 1.92857142
Mixed form- x= 1 13/14
Answer:

Step-by-step explanation:
We have:

To solve, we will isolate the x variable. Therefore, subtract 7 from both sides:

Divide both sides by 2:

Take the square root of both sides. Since we’re taking an event root, we will need plus/minus. Therefore:

Therefore, our solutions are:
