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Sergio [31]
3 years ago
15

Trigonometry: 1) Work out the bearing from B to C. 2) Calculate the bearing of D from B

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

see below

Step-by-step explanation:

a bearing is the angle in degrees measured clockwise from north.

Triangle ABC is a right triangle

Tan C = opp side / hyp

tan C = AB / CA

tan C = 30/30

tan C = 1

taking the inverse tan

tan ^ -1 tan C = tan ^ -1 ( 1)

C = 45 degrees

This is 90+45 degrees from North

135 degrees from north

Tan B = opp side / hyp

tan B = AD/BA

tan B = 45/30

tan B = 3/2

taking the inverse tan

tan ^ -1 tan B = tan ^ -1 ( 3/2)

D = 56.30993247

Add 180 degrees

180+56.30993247

236.3099325 from north

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Two trays contained 12 ice cubes. How many ice cubes are there in 20 trays?
Masja [62]

If 2 trays have 12, and you need to get 20 trays, find out 2 * x = 20.

2 * 10 = 20.

So you need to multiply the problem by 10

10(2 trays = 12 ice cubes)

20 trays = 120 ice cubes.

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7 0
3 years ago
I need some help please​
Mama L [17]

Answer:

109

Step-by-step explanation:

Formula

<ZHG + <IHZ = <IHG

Givens

<ZHF = 11x - 1

<IHZ = 24

<IHG = 12x + 13

Solution

11x - 1 + 24 = 12x + 13             Combine terms on the left

11x + 23 = 12x + 13                  Subtract 13 from both sides

<u>      - 13             - 13  </u>

11x + 10 = 12x                           Subtract 11x from both sides

<u>-11x           -11x</u>

        10 =   x

Answer

11x - 1 = 11*10 - 1 = 110 - 1 = 109

7 0
2 years ago
Round 9,372,282 to nearest 1000
andreyandreev [35.5K]
9372000 is the answer
8 0
3 years ago
Read 2 more answers
Zachary has nickels, dimes and quarters in his piggy bank. He has 58 coins with a total value of $6.50. There are twice as many
kari74 [83]

Answer:

nickel = 16

dimes = 32

quarters = 10

Step-by-step explanation:

Given that,

number of coins Zachery have in his piggy bank = 58

total money Zachery have in his piggy bank = $6.50

Suppose number of nickel = x

               number of dimes = 2x

               number of quarters = y

1 nickel = $0.05

1 dime = $0.10

1 quarter = $0.25

<h3>Equation 1</h3>

x + 2x + y = 58

3x + y = 58

<h3>Equation 2</h3>

x(0.05) + 2x(0.10) + y(0.25) = 6.50

0.05x + 0.2x + 0.25y = 6.50

0.25x + 0.25y = 6.50

y = 58 - 3x

<h3>put value of y in equation 2</h3>

0.25x + 0.25(58 - 3x) = 6.50

0.25x + 14.5 - 0.75x = 6.50

-0.5x = 6.50 - 14.5

-0.5x = -8

x = 16

y = 58 - 3x

y = 58 -3(16)

y =10

number of nickel = x = 16

number of dimes = 2x = 32

number of quarters = y = 10

5 0
3 years ago
-3 (5 g +1) + 8 g
Komok [63]

Answer:

-7g-3

Step-by-step explanation:

in order to evaluate for this mathematical expression, we need to consider the negative sign carefully and then open the bracket then evaluate.

<u>solutuion</u>

-3 (5 g +1) + 8 g

-15g -3 + 8g

-15g +8g -3

-7g-3

8 0
3 years ago
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