19. The formula for finding the volume of a sphere is 4/3πr^3
The problem says the radius is 9.25 cm.
Just plug in the numbers and solve:
4/3(3.14)(9.25^3)
9.25^3 = ~791.45
4/3(3.14)(791.45)
4/3 • 3.14 = ~4.19
4.19 • 791.45 = 3316.1755
It says to round to 2 decimal places so the answer to this question would be 3316.18.
That means 3316.18 is the volume of the sphere.
20. It's always best to change words into an equation.
-16 - w
w = -23
Plug in the number to the variable:
-16 - (-23)
Double negatives (a negative being subtracted) turn into a plus (positive being added).
-16 + 23 = 7
So the answer is 7.
25. Complementary angles are angles with a sum of 90º.
If angle A is 27º, just subtract that from 90º to get the measure of angle B.
90 - 27 = 63
So angle B is 63º, and the answer is A.
        
             
        
        
        
Answer:
Half of 24 is 12
Step-by-step explanation:
24/2 = 12
 
        
                    
             
        
        
        
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club 
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
 =0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade 
= 13/52
Probability of choosing spadep 
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
 
        
             
        
        
        
Since the figure is a rhombus, the diagonals cut each other at right-angles and bisect each other, namely cut their vertices in equal halves.
what the dickens does all that mean?  well, the angles at vertex C and vertex A are all twins, and therefore, ∡BCA = x, therefore
 
        
                    
             
        
        
        
Answer:1
1. 
2. ∠ABC = 120°, ∠BCD = 90°, ∠CDA = 60°, ∠DAB = 90°
Step-by-step explanation:
It's important to note here that the measure of all interior angles in a quadrilateral will add up to 360°
We know this using the formula
, a 4 sided figures angles will add up to
 
This means that all of the angles (4x, 3x, 2x, 3x) will add up to 360.

Combine like terms:

Divide both sides by 12:

We know now substitute x for 30 in for all of the side lengths.
∠ABC = 4x = 
°
∠BCD = 3x = 
°
∠CDA = 2x = 
°
∠DAB = 3x = 
°
Hope this helped!