3
is the simplify expression
Step-by-step explanation:
Answer:
D. Undefined
Step-by-step explanation:
It is a vertical line so it has no slope.
Answer:
P = 1 / 40320 or P = 2.48*10⁻⁵
Step-by-step explanation:
The total number of outcomes To is:
To = 8! To = 8*7*6*5*4*3*2
To = 40320
Of all these outcomes there is only one proper outcome, therefore the probability of having all men and women in alphabetical order is:
P = 1 / 40320 or P = 2.48*10⁻⁵
Answer:
The correct answer is C. 54.
Step-by-step explanation:
Since Danielle started her postcard collection with 6 cards that she received from her uncle during his trip to France, and Danielle's uncle sends her 2 more cards each month as he travels for business, and the table below shows the relationship between the number of months Danielle has been collecting cards and the number of cards she has.
Number of Months Danielle
Has Been Collecting Cards Number of Cards in the
Collection
2 10
4 14
8 22
24?
To determine how many cards Danielle can expect to have after 24 months, the following calculation must be performed:
(24 x 2) + 6 = X
48 + 6 = X
54 = X
Therefore, after 24 months Danielle will have 54 cards.
Answer: 81°
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
