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padilas [110]
3 years ago
9

Which statement represents the biconditional statement of the conditional statements?

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
3 0

The measures of two angles have a sum of 90º if and only if the angles are complements.

if the angles are complementary they have to equal 90 otherwise they are not complementary

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Given that tan^2 theta=3/8,what is the value of sec theta?
algol [13]

Answer:

The value of SecФ is  \pm \sqrt{\frac{11}{8}} .

Step-by-step explanation:

Given as for trigonometric function :

tan²Ф = \frac{3}{8}

Or, tanФ = \sqrt{\frac{3}{8} }

∵ tanФ = \frac{Perpendicular}{Base}

So,  \frac{Perpendicular}{Base} =  \sqrt{\frac{3}{8} }

So, Hypotenuse² = perpendicular² + base²

or, Hypotenuse² = ( \sqrt{3} )² + ( \sqrt{8} )²

Or,  Hypotenuse² = 3 + 8 = 11

Or,  Hypotenuse = ( \sqrt{11} )

Now SecФ = \frac{Hypotenuse}{Base}

or, SecФ = \frac{\sqrt{11}}{\sqrt{8}} = \sqrt{\frac{11}{8} }

<u>Second Method</u>

Sec²Ф - tan²Ф = 1

Or, Sec²Ф = 1 +  tan²Ф

or, Sec²Ф = 1 +  \frac{3}{8}

Or, Sec²Ф = \frac{11}{8}

Or,  SecФ = \pm \sqrt{\frac{11}{8}}

Hence The value of SecФ is  \pm \sqrt{\frac{11}{8}} . Answer

7 0
3 years ago
Read 2 more answers
Can anyone help me please? NO BOTS!!!
svp [43]

7. subtraction property

division property

8. subtraction property

multiplication property

9. distribution property

addition property

division property

10. distribution property

combine like terms

addition property

division property

11. combine like terms

distribution property

subtraction property

subtraction property

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3 0
2 years ago
What is the truth value for the following conditional statement?
Studentka2010 [4]

Answer:

TT→T

Step-by-step explanation:

If p is false, then ~p is true.

If q is false, then ~q is true.

Now note that

  • If a and b are both true, then a→b is true.
  • If a is true, b is false, then a→b is false.
  • If a is false, b is true, then a→b is true.
  • If a and b are both false, then a→b is true.

In your case, both~p and ~q are true, then ~p→~q is true too (or TT→T)

3 0
3 years ago
5a+5b=25 and -5a+5b=35
Alex_Xolod [135]

add the two equations together

5a+5b=25

-5a+5b=35

------------------

 0  + 10b =60

divide by 10

b=6

5a + 5b = 25

5a +5(6) = 25

5a +30 =25

subtract 30 from each side

5a =-5

divide by 5

a = -1

Answer (-1,6)

or a=-1 b=6

3 0
3 years ago
Greatest common factor of 50,50
zubka84 [21]

Answer:

The greatest common factor of 50

Step-by-step explanation:

Greatest Common Factor (GCF) of two numbers

and the factors of 50 are 1, 2, 5, 10, 25 and 50.

8 0
2 years ago
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