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Tanzania [10]
3 years ago
12

Law of cosines: a2 = b2 + c2 – 2bccos(A) Which equation correctly applies the law of cosines to solve for an unknown angle measu

re?
72 = 82 + 112 – 2(8)(11)cos(N)
82 = 72 + 112 – 2(7)(11)cos(M)
72 = 82 + 112 – 2(8)(11)cos(P)
82 = 72 + 112 – 2(7)(11)cos(P)

Mathematics
2 answers:
Cloud [144]3 years ago
8 0
The law of cosines is used for calculating one side of the triangle if the angle opposite to that side is given as well as the other sides. For this problem, we are given angle B. Therefore, the correct answer among the choices given is option 1 where a is equal to 5 and c is equal to 3.
guajiro [1.7K]3 years ago
8 0

Answer:

d on edge

Step-by-step explanation:

You might be interested in
(50 points) A diameter of a circle has endpoints P(-10, -2) and Q(4,6)
Gala2k [10]

Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the two end points of the diameter.

Formula

Center = (x2 + x1)/2 , (y2 + y1)/2

Givens

x2 = 4

x1 = - 10

y2 = 6

y1 = - 2

Solution

Center = (4 - 10)/2, (6 - 2)/2

Center = -6/2 , 4/2

Center = - 3 , 2

So far what you have is

(x+3)^2 + (y - 2)^2 = r^2

Now you have to find the radius.

You can use either of the endpoints to find the radius.

find the distance from (4,6) to (-3,2)

r^2 = ( (x2 - x1)^2 + (y2 - y1)^2 )

x2 = 4

x1 = -3

y2 = 6

y1 = 2

r^2 = ( (4 - -3)^2 + (6 - 2)^2 )

r^2 = ( (7)^2 + 4^2)

r^2 = ( 49 + 16)

r^2 = 65

Ultimate formula is

(x+3)^2 + (y - 2)^2 = 65

The radius is √65 = 8.06

8 0
3 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
Divide -1.53 ÷ 0.17 enter your answer in the box PLEASE HELLPPP
marshall27 [118]

Answer:

-9

Step-by-step explanation:

-1.53  ÷  0.17 =‬ -9

check work:

-9 x 0.17 = -1.53

6 0
3 years ago
Read 2 more answers
Draw a box and whiskers plot of the numbers 7,4,7,5,5,3,7,6,7
wariber [46]

Answer

3,4,5,5,6,7,7,7,7

Step-by-step explanation:

5 0
2 years ago
Kate has 10 stickers. One half of them are purple. How many of Kate’s stickers are purple?
stiks02 [169]

Answer:

5

Step-by-step explanation:

Half of ten is five  so Kate’s has five purple stickers

8 0
3 years ago
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