Answer:
53 degrees to the nearest degree.
Step-by-step explanation:
Sine H = opposite / hypotenuse
= 8/10
= 0.8
H = 53 degrees.
The fact families you will need to know so you can figure out the answer or answers your multiplication facts will help you because division is backwards multiplication and if you know that 5 x 4 = 20 than you know that 20 divided by 4 = 5
Hoped this helped ;)
Let the number be x.
First student increased the number by 23, therefore
⇒ x + 23
Second student decreased the number by 1, therefore
⇒ x - 1
The first student's result was 7 times greater than the result of the second student's, therefore
⇒ x + 23 = 7(x - 1)
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Solve for x:
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x + 23 = 7( x- 1)
x + 23 = 7x - 7
6x = 30
x = 5
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Answer: The number on the board is 5.
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Answer:
x= -b/2a
Step-by-step explanation:
hello :
y = ax²+bx+c .... (a≠0)
the equation of the axis of symmetry of this graph is : x= -b/2a
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.
