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Troyanec [42]
2 years ago
12

A,B, C and D are the four corners of a rectangular plot marked out on level ground. Given that the bearing of B from A is 40 and

the bearing of C from A is 90, Find the bearing B frOm C
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Answer:

given - a rectangle ABCD

AB = 40

AC. = 90

BC = ?

in triangle ABC

using Pythagoras theorem

(AB) ² + (BC) ² = (AC) ²

(40)² + (BC) ² = (90)²

(BC) ² = (90)²- (40)²

(BC) ² = 8100 - 1600

(BC) ² = 6500

BC =

20 \sqrt{10}

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The movie theater sells a total of 100 tickets and makes a total of $880. If the theater charges $6 per child's ticket and $10 p
lutik1710 [3]

Answer:the number of children tickets that were sold is 30.

the number of adult tickets that were sold is 70

Step-by-step explanation:

Let x represent the number of children tickets that were sold.

Let y represent the number of adult tickets that were sold.

The movie theater sells a total of 100 tickets. This means that

x + y = 100

The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that

6x + 10y = 880 - - - - - - - - - - -1

Substituting x = 100 - y into equation 2, it becomes

6(100 - y) + 10y = 880

600 - 6y + 10y = 880

- 6y + 10y = 880 - 600

4y = 280

y = 280/4 = 70

x = 100 - y = 100 - 70

x = 30

8 0
3 years ago
A college sends a survey to members of the class of 2012. Of the 1254 people who graduated that year, 672 are women, of whom 124
Svetllana [295]

Answer:

a) P(F) = \frac{672}{1254}=\frac{112}{209}=0.536

b) P(M) = \frac{582}{1254}= \frac{97}{209}=0.464

c) P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815

Step-by-step explanation:

For this case we have a total of 1254 people. 672 are women and 582 are female.

We know that 124 women wnat on to graduate school.

And 198 male want on to graduate school

We can define the following events:

F = The alumnus selected is female

M= The alumnus selected is male

A= Female and attend graduate school

And we can find the probabilities required using the empirical definition of probability like this:

Part a

P(F) = \frac{672}{1254}=\frac{112}{209}=0.536

Part b

P(M) = \frac{582}{1254}= \frac{97}{209}=0.464

Part c

For this case we find the probability for the event A: The student selected is female and did attend graduate school

P(A) =\frac{124}{672}=\frac{31}{168}=0.185

And using the complement rule we find P(A') representing the probability that the female selected did not attend graduate school like this:

P(A') = 1-P(A) = 1- \frac{124}{672}= \frac{137}{168}=0.815

4 0
3 years ago
I am really struggling with this question. please help.
zvonat [6]
The answer is this:
y = 4/5x - 1
4 0
3 years ago
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HELP ASAP 15 POINTS !!!!!
serious [3.7K]

Answer: 4, 8, 7, 9, 0, 3, 4, 1, 6, 27

Step-by-step explanation:

8 0
3 years ago
Ig u could say free points. just answer this. and happy birthday to those like me in april. this picture is us
Kamila [148]

Answer:

The answer is 405

Step-by-step explanation:

8 0
3 years ago
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