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katerin4738
23.03.2020 •
Mathematics
Trigonometry
Objective: Use trigonometry functions to find the area of triangles.
In ΔXYZ, XY=13, XZ=8, and m< x=34*. Find the area of ΔXYZ, to the nearest tenth of a square unit.
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Ответ:
The area of the triangle XYZ is 29.1 square units
Explanation:
Given that the measurements of the sides of the triangle XYZ are
,
and ![m\angle X=34^{\circ}](/tpl/images/0559/0790/72220.png)
We need to determine the area of the triangle XYZ
Area of the triangle:
The area of the triangle can be determined using the formula,
Substituting the values, we get,
Simplifying, we get,
Multiplying the terms, we get,
Dividing the terms, we have,
Rounding off to the nearest tenth, we get,
Thus, the area of the triangle XYZ is 29.1 square units.
Ответ:
The truth value of the statement p ∧ q is TRUE.
Step-by-step explanation: We are the given the following two statements :
p: |-8| - |3| = 5
q: 0 is the additive identity.
We are to find the truth value of "p ∧ q".
We know that
for any two statements p and q, p ∧ q is true if both the statements p and q are true and is false otherwise.
We have
|-8| + |3| = 8 - 3 =5. So, p is true.
O is the additive identity, q is also rue.
Therefore, the statement p ∧ q is TRUE.
Thus, the truth value of the statement p ∧ q is TRUE.