Answer:
45 maybe
Step-by-step explanation:
it is a right angle . just divide by 2
Answer:
hello your question has some missing information attached below is the missing information
answer : 112 black balls
Step-by-step explanation:
Given data:
Each bag contains ; 10 balls
Total number of ball = 100 balls
<u>first: calculate the number of Black balls to be picked from the three bags</u>
From bag 1 = 0.4 * 0.35 * 10 = 1.4 balls
From bag 2 = 0.8 * 0.45 * 10 = 3.6 balls
From bag 3 = 0.3 * 0.2 * 10 = 0.6 ball
Total black balls picked = 5.6
∴ percentage of black balls picked given that each bag contains 10
5.6 / 10 * Total balls available = 56 balls = 56% of 100 balls
Hence If the player plays this game 200 times the number of black balls he will pick = 56% * 200 = 112 balls
This is a parabola which opens upwards and the directrix will be of the form
y = k
the general form is
4p(y - k) = (x - h)^2 we have:-
1/4(y + 3) = (x - 2)^2
so the vertex is at (2, -3)
4p = 1/4 so p = 1/16
so the focus will be at (2 , -2 15/16)
and directrix is y = -3 1/16
The depth of the joist that was drilled by Freddy is 5 1/3 inches.
From the information given, we are informed that Freddy drilled into a piece of wood and a joist to attach them and that be drilled 4 inches and the wood was 1 1/3 inches thick.
Therefore, to get the depth that was drilled, we'll need to add the fractions given together. This will be:
= 4 + 1 1/3
= 5 1/3 inches.
Therefore, the depth of the joist that was drilled by Freddy is 5 1/3 inches.
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Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form 
Its roots are
and 
Here the given equation is
= 0
a = 2
b = -4
c = -1
If the roots are
, then
= 
= 
= 
= 
= 
= 
These are the two roots of the equation.