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2 years ago

What is the area of this triangle

Mathematics

1 answer:

svet-max [94.6K]2 years ago

8 0

Answer:

Step-by-step explanation:

7*4*1/2=14

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The law of cosines is used to find the measure of Z.

Shtirlitz [24]

Answer:

C. $Z=51^{\circ}$

Step-by-step explanation:

We have been given a triangle. We are asked to find the measure of angle Z using Law of cosines.

Law of cosines: $c^2=a^2+b^2-2ab\cdot \text{cos}(C)$ , where, a, b and c are sides opposite to angles A, B and C respectively.

Upon substituting our given values in law of cosines, we will get:

$16^2=19^2+18^2-2(19)(18)\cdot \text{cos}(Z)$

$256=361+324-684\cdot \text{cos}(Z)$

$256=685-684\cdot \text{cos}(Z)$

$256-685=685-685-684\cdot \text{cos}(Z)$

$-429=-684\cdot \text{cos}(Z)$

$\frac{-429}{-684}=\frac{-684\cdot \text{cos}(Z)}{-684}$

$0.627192982456=\text{cos}(Z)$

$\text{cos}(Z)=0.627192982456$

Now, we will use inverse cosine or arc-cos to solve for angle Z as:

$Z=\text{cos}^{-1}(0.627192982456)$

$Z=51.1566718^{\circ}$

$Z\approx 51^{\circ}$

Therefore, the measure of angle Z is approximately 51 degrees.

6 0

3 years ago

Read 2 more answers

Need help with this?

Scilla [17]

Answer:

Measurements.

Step-by-step explanation:

Measurements are important because they help us in our every day lives such as cooking and baking, construction and many other things but measurements also help us find out our weight and height, or even what size shoe we have. So basically measurements are important in every part of our every day lives.

Hope it helps!

OwO

3 0

2 years ago

Real world problem for 5x=3x+20

djverab [1.8K]

2x= 20

x= 10 is the answer

3 0

3 years ago

Help me! Quick! Please. 25 points

nadezda [96]

Answer: