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sashaice [31]
3 years ago
13

In △XYZ , XZ=11 , YZ=8 , and m∠Z=31∘ .

Mathematics
1 answer:
Natalija [7]3 years ago
8 0

Answer:

The area of the triangle is 22.7 units²

Step-by-step explanation:

The formula of the area of a triangle using trigonometry is A = \frac{1}{2} (a)(b) sin(C), where a , b are two sides in the triangle and C is the angle between these two sides

In Δ XYZ

∵ XZ = 11 units

∵ YZ = 8 units

∵ m∠Z = 31°

∵ ∠Z is between the two sides XZ and YZ

∴ We can use the formula above to find the area of Δ XYZ

∵ Area Δ XYZ = \frac{1}{2} (XZ)(YZ) sin(Z)

∴ Area Δ XYZ = \frac{1}{2} (11)(8) sin(31)

∴ Area Δ XYZ = 22.6616753 unit²

- Round it to the nearest tenth

∴ Area Δ XYZ = 22.7 units²

The area of the triangle is 22.7 units²

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Step-by-step explanation  

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2 years ago
Write and solve an equation to find the value of x and a missing angle in the triangle below.
Arturiano [62]

Answer:

x = 27°, ∠JLK = 55°

Step-by-step explanation:

From the diagram in the question above,

The exterior angle of a triangle is equal to the sum of the two opposite side

3x+13 = 39+(2x+1)

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collect like terms and solve for x

3x-2x = 40-13

x = 27°.

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Substitute the value of x

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5 0
2 years ago
15x+12=45+4x<br> whats x?
saul85 [17]

<span>15x+12=45+4x </span>⇒15x - 4x = 45 - 12 ⇒ 11x = 33 ⇒ x = 3


4 0
3 years ago
Read 2 more answers
PLEASE HELP!!!!!! I will give points
Vlada [557]

Answer:

Of the basketball players on the team, exactly 75% of the players have heights above 180

Step-by-step explanation:

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2 - 175 - This is 1/6

1 - 180 - This is 1/12

4- 185 - This is 1/3

3 - 190 - This is 1/4

1 - 195 - This is 1/12

75% (Or 3/4) have heights above 180

Therefore, the answer is B

8 0
2 years ago
Find f(x)+g(x), given f(x)=x^2-8 and g(x)=-2-x^2
Gnoma [55]

\left(x^2-8\right)+\left(-2-x^2\right)=-10

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=x^2-8-2-x^2

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=-8-2

=-10

8 0
2 years ago
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