Answer:
The width of the rectangular prism is 9 cm.
Step-by-step explanation:
From the formula of the volume of a bar
we see that
cm.
Angles 1 and 3 are vertical lines and because they are vertical, both angles equal each other.
Answer:
Circumference of circle= 37.68 units
Circumference of sector= 6.28 units
Step-by-step explanation:
The given figure is a circle with given radius OB= 6 units.
The circumference of a circle is the total length of its boundary.
For the complete circle its circumference can be calculated by;
Circumference= 
units
For the circumference of the Sector with 60° in the figure, the circumference can be calculate by:
units
So, the circumference of the full circle is 37.68 units and the circumference of the sector is 6.28 units.
Answer: The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
A quarterback throws a football toward a receiver from a height of 6 ft. The initial vertical velocity of the ball is 14 ft/s. At the same time that the ball is thrown, the receiver raises his hands to a height of 8 ft and jumps up with an initial vertical velocity of 10 ft/s.
The height of the ball at time t is given as h = -16t² + 14t + 6 while the height of the receiver hand at time t is given as h = -16t² + 10t + 8
Answer:
The sample space for selecting the group to test contains <u>2,300</u> elementary events.
Step-by-step explanation:
There are a total of <em>N</em> = 25 aluminum castings.
Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).
It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:

Compute the number of samples that are possible as follows:


The sample space for selecting the group to test contains <u>2,300</u> elementary events.