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nordsb [41]
3 years ago
12

In the triangle shown, B=60 and AC=9√3 how long is AB answer exactly, use a radical if needed

Mathematics
1 answer:
zavuch27 [327]3 years ago
5 0

Length of AB is 18

Step-by-step explanation:

  • Step 1: Find length of AB when AC = 9√3 and ∠B = 60°. Use trigonometric ratio sine.

sin 60 = opposite side/hypotenuse = 9√3/x

x = 9√3/sin 60

   = 9√3/√3/2 = 9√3 × 2/√3 (∵ a ÷ b = a×1/b)

   = 18

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Hey please help me please help please
Airida [17]

1.

a) metres to centimetres :

multiply length by 100

b) metres to millimetres:

multiply length by 1000

c) kilograms to grams:

multiply the mass value by 1000

d) litres to millilitres :

multiply volume by 1000

2.

a) 3 m = 3× 100 = 300 cm

b) 28 cm = 28 × 10 = 280 mm

c) 2.4 km = 2.4 × 1000

= 24 × 10^-1 × 10^3

= 24 × 10^2 =2400 m

d) 485 mm =485 / 10

= 485 / 10 ^1

= 485 × 10 ^-1

= 48.5 cm

e) 35 cm = 35 / 100

= 35 /10^2

= 35 × 10 ^ -2

= 0.35 m

f) 2.4 m = 2.4 / 1000

= 24 × 10 ^-1 / 10^3

= 24 × 10^-1 × 10 ^-3

= 24 × 10 ^ -4

= 0.0024 km

g) 2495 mm = 2495 /1000

= 2495 /10^ 3

= 2495 × 10 ^-3

=2.495 m

4 0
3 years ago
What is the equation of the line that passes through the point (-2,0) and has a slope of -2
Tcecarenko [31]

Answer:

y = -2x -4

Step-by-step explanation:

The equation of a line is y = mx + b, where m is the slope of the line, and b is the y-intercept.  We are told that the slope of the line is -2, so we can start with

y = mx + b

y = -2x + b

We can figure out the value of b by plugging in the coordinates of the point given (-2, 0)

0 = -2(-2) + b

0 = 4 + b

Subtract 4 from both sides of the equation

-4 = b

Then plug that value of b back into the equation above:

y = -2x + (-4) or y = -2x -4

6 0
3 years ago
Read 2 more answers
Y=-x+3 y = -2.x +7 = 5.​
lyudmila [28]

Answer:

Slope: 3/5

y-intercept: 7

Step-by-step explanation:

5 0
3 years ago
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lidiya [134]

Answer:

I believe it's (6,10).

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2 years ago
Solve for x:<br> 4x + 10 = 34
VladimirAG [237]

Answer:

x=6

Step-by-step explanation:

4x+10=34

4x=24

x=6

7 0
3 years ago
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