Answer:
CP = 8 cm
Step-by-step explanation:
Given two chords that intersect inside a circle, then then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
DP × CP = AP × PB ← substitute values
6 × CP = 12 × 4
6CP = 48 ( divide both sides by 6 )
CP = 8
Answer:
Step-by-step explanation:
You know that Mr. Wilson uses the following equation to find the cost:
Then, if Mr. Wilson spent $30, you can follow these steps in order to calculate how many hours he parked in the parking garage:
1. You need to substitute into the given equation:
2. Now, you must solve for "H":
Therefore, based on the result, you can conclude that Mr. Wilson parked his car in the parking garage for 8 hours.
Answer:
Step-by-step explanation:
we know that
The directrix of the parabola is perpendicular to the axis of symmetry of the parabola
In this problem the directrix is y=-3.5
so
The axis of symmetry is parallel to the y-axis
we have a vertical parabola
Also, the vertex is at the origin
That means-----> the parabola open upward
The equation of a vertical parabola can be written as
where
p is the distance between the vertex and the directrix
In this problem
the distance between the vertex and the directrix is 3.5
----> the value of p is positive because the parabola open upward
substitute
isolate the variable y
Answer:
The correct option is A.
Step-by-step explanation:
It is given that Colton has 8 comedy movies, 6 action movies, 5 fantasy movies, and 1 drama movie on his list of favorite movies.
Total number of favorite movies is
Therefore Colton has 20 movies in the list of favorite movies.
For every 5 movies on the list, there are 2 movies of required category.
For every 20 movies on the list, there are 8 movies of required category.
Out of 20 movies we have 8 comedy movies, therefore the required category is comedy movie.
The ratio of comedy movie and total movies is
Therefore we can say that for every 5 movies on the list, there are 2 comedy movies. Option A is correct.
3421880 number of the different meals are possible.
<h3>What is the combination?</h3>
The arrangement of the different things or numbers in the number of the ways is called as the combination.
It is given that:-
Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.
So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,
so the number of possible meals to this point is
n = 7 x 10 = 70
Finally, you finish off with a dessert, so the number of meals is:
n = 70 x 4 = 280
Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is
n = 77 x 1010 x 44 = 3421880
Therefore 3421880 different meals are possible.
To know more about combinations follow
brainly.com/question/11732255
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