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zzz [600]
3 years ago
9

What is the area of triangle ABC? Round to the nearest tenth of a square unit. square units

Mathematics
2 answers:
zysi [14]3 years ago
8 0

Answer: A = 61.8 square units

Step-by-step explanation:

Hi, we have to apply the Trigonometric area formula:

A = 1/2 ab sin (c)

Where a and b are the sides ( in this case we use the sides that are given to us, which are 10 and 13 ) and c is the included angle.

So, replacing the formula with the given values:

A = 1/2 (10) (13) sin 72°

A = 61.8 square units

Feel free to ask for more if it´s necessary or if you did not understand something.

Akimi4 [234]3 years ago
6 0

Use the formula.

 Area = (1/2)*13*10*sin(72°) ≈ 61.8 units².

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belka [17]
I believe it is C because it I s bigger but not to big of a amount please tell me if I am wrong
6 0
2 years ago
Given that A and B are true and X and Y are false, determine the truth value of the following proposition: ~[(A ⊃ Y) v ~(X ⊃ B)]
Anni [7]

Answer:

The value of the proposition is FALSE

Step-by-step explanation:

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ ~X) v (B ⊃ X)]

Let's start with the smallest part: ~X. The symbol ~ is negation when X is true with the negation is false and vice-versa. In this case, ~X is true (T)

~[(A ⊃ Y) v ~(X ⊃ B)] ⋅ [~(A ≡ T) v (B ⊃ X)]

Now the parts inside parenthesis:  (A ⊃ Y),(X ⊃ B),(A ≡ T) and (B ⊃ X). The symbol ⊃ is the conditional and A ⊃ Y is false when Y is false and A is true, in any other case is true. The symbol ≡ is the biconditional and A ≡ Y is true when both A and Y are true or when both are false.

(A ⊃ Y) is False (F)

(X ⊃ B) is True (T)

(A ≡ T) is True (T)

(B ⊃ X) is False (F)

~[(F) v ~(T)] ⋅ [~(T) v (F)]

The two negations inside the brackets must be taken into account:

~[(F) v F] ⋅ [F v (F)]

The symbol left inside the brackets v is the disjunction, and A v Y is false only  with both are false. F v (F) is False.

~[F] ⋅ [F]

Again considerating the negation:

T⋅ [F]

Finally, the symbol ⋅ is the conjunction, and A v Y is true only with both are true.

T⋅ [F] is False.

5 0
2 years ago
Find the equation of the line that is perpendicular to y = 1/4x – 2 and passes though the point (5, –2). A) y = –1/4x + 18 B) y
Mashcka [7]

Since our line is perpendicular to this line, the slope of

our line is the negative reciprocal of 1/4, which is -4/1.

Remember, negative reciprocal is just a fancy way

of saying flip the fraction and change the sign.

So the slope of our line is -4/1 and we use this slope along

with our given point to write the equation of our line.

Start with the point-slope formula.

Y - y1 = m(x - x1).

~Substitute

Y - -2 = -4/1(x - 5).

Minus a negative is plus a positive.

Y + 2 = -4/1x + 20.

Subtract 2 from both sides.

Y = -4/1x + 18

So, our answer is C.

7 0
3 years ago
Which set of points represents a nonlinear function?
Naily [24]

Answer:

The answer would be B.

Step-by-step explanation:

(-2,2)(0,0)(2,2) represents a nonlinear function.

8 0
1 year ago
Solve the proportion for the variable given <br> 4/6=9/x<br> a.10<br> b.6<br> c.1<br> d. 27/2
e-lub [12.9K]

Step-by-step explanation:

Option D is the correct answer because we will cross multiply

4/6 = 9/x

4x = 54

X = 27/2

5 0
3 years ago
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