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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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The point B(1, 1) is rotated 90° counterclockwise around the origin. What are the co
Thepotemich [5.8K]

Given that the point B is (1,1) is rotate 90° counterclockwise around the origin.

We need to determine the coordinates of the resulting point B'.

<u>Coordinates of the point B':</u>

The general rule to rotate the point 90° counterclockwise around the origin is given by

(x, y) \rightarrow(-y, x)

The new coordinate can be determined by interchanging the coordinates of x and y and changing the sign of y.

Now, we shall determine the coordinates of the point B' by substituting (1,1) in the general rule.

Thus, we have;

Coordinates of B' = (1,1) \rightarrow(-1,1)

Thus, the coordinates of the resulting point B' is (-1,1)

3 0
3 years ago
Takes a word processor 20 minutes to spell check 6 pages, how long to check 27 pages
ivann1987 [24]

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Answer:

  90 minutes

Step-by-step explanation:

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6 0
3 years ago
What is the converse of t &gt; r
Anettt [7]

The converse of  t > r is r > t

<h3>What is a converse statement?</h3>

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

  • x is the hypothesis
  • y is the conclusion

Given the expression as;

t > r

We can see that;

  • The variable 't' is the hypothesis
  • The variable 'r' is the conclusion

The converse will be;

r > t

Hence, the converse is r > t

Learn more about converse statement here:

brainly.com/question/3965750

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6 0
1 year ago
Is the answer -5r + 5​
nadya68 [22]
-5(r-1)
Do you need step by step
6 0
3 years ago
Please help if you could
Goshia [24]

Answer:

f(x)= 6x+9....

Step-by-step explanation:

The given equation is:

y-6x-9=0

Add 6x+9 at both sides:

y-6x-9+6x+9=0+6x+9

Solve the like terms:

on the L.H.S -6x will be cancelled out by +6x and -9 will be cancelled out by +9

y=6x+9

Now convert it in function notation:

f(x)=y

f(x)= 6x+9....

3 0
3 years ago
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