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o-na [289]
1 year ago
13

1. Triangle ABC has an angle of ABC = 60°, AB = 3 √3 cm and BC = 4 √3 cm. Determine the length of AC.​

Mathematics
1 answer:
Oksi-84 [34.3K]1 year ago
4 0

Answer:

see below

Step-by-step explanation:

you can use cosine law

(3 sqrt3)^2 + (4 sqrt3)^2 - 2(3 sqrt3)(4sqrt3)cos60 = AC^2

AC = sqrt39

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Math (10 points) please help
Valentin [98]

Answer:

Part 1. 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

Variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking job.

Part 2. The income from shift of work at the diner that is 50x, and the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x.

Step-by-step explanation:

Each week, Aubrey earns $50 for every shift he works at the diner and $17 for every dog-walking job.  

He uses the expression (50x + 17y) to keep track of his earning.

Part 1. Here the coefficient of the expressions 50 and 17 denotes that he earns $50 for each shift he works at the dinner and $17 for each dog-walking job.

And the variable x denotes the number of shifts at the dinner and y variable denotes the number of dog -walking jobs.

Part 2. Therefore, there are two terms in the expression, one is the income from the shift of work at the diner that is 50x and the other is the income from dog walking work that is 17y.

Part 3. The total income from the diner is given by 50x. (Answer)

7 0
2 years ago
Find the value of x in the following quadrilateral
vlabodo [156]

Answer:

The answer is 63.31

Step-by-step explanation:

2x - 5 + 3x - 42 + x +  \frac{3}{7} x = 360 \\  \frac{45}{7} x = 360 + 47 \\ x = 63.31

6 0
3 years ago
Calculate the distance between the points C=(-7, 7) and M=(-2, 3) in the coordinate plane.
pishuonlain [190]

Answer:

d = Sqrt 41 = 6.4

Step-by-step explanation:

d = sqrt [(x-x)^2 + (y-y)^2]

d = sqrt [(-7 - - 2)^2 + (7-3)^2]

d = sqrt[(-7+2)^2 + (4)^2]

d = sqrt [(-5)^2 + (4)^2]

d= sqrt (25 + 16)

d = sqrt 41 = 6.4

6 0
2 years ago
Area <br>What is the area for this shape??<br>​
yuradex [85]
20 times 10 is 200 divided by 2 is 100. so 100 cm squared
8 0
2 years ago
Read 2 more answers
Find the measures of center for following. Data Frequency 30 - 34 1 35 - 39 0 40 - 44 3 45 - 49 7 50 - 54 5 55 - 59 10 60 - 64 1
dalvyx [7]

Answer: the mode is 67.2

Step-by-step explanation:

Given that;

Data               Frequency

30 - 34                 1

35 - 39                0

40 - 44                3

45 - 49                7

50 - 54                5

55 - 59               10

60 - 64               10

65 - 69              21

70 - 74               12

Mode = ?

we know that mode is the number that has the highest number of appearance of frequency, so in this case, the data group that has the highest frequency (21) is 65 - 69  

Lower class boundary of the modal group; L = 65

Frequency of the group before the modal group; Fm-1 = 10

Frequency of the modal group; Fm = 21

Frequency of the group after the modal group; Fm+1 = 12

Group width; G = 4

Now using the formula

Mode = L + [ (Fm - Fm-1) / ( (Fm - Fm-1) + (Fm - Fm+1) ) ] × W

so we substitute

Mode = 65 + [ (21 - 10) / ( (21 - 10) + (21 - 12) ) ] × 4

= 65 + [ 11 / 20] × 4

= 65 + 2.2

= 67.2    

Therefore the mode is 67.2

3 0
2 years ago
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