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Serggg [28]
3 years ago
5

Find x. Round to the nearest degree.

Mathematics
1 answer:
jeka943 years ago
5 0

The Law of Cosines features the 3 side lengths of a triangle, plus the measure of the angle opposite one of those sides.


We want angle x, which is opposite the side of length 39.


Then: a^2 = b^2 - 2ab cos C becomes 39^2 = 36^2 + 59^2 - 2(36)(59)cos x


or 1521 = 3481 + 1296 - 2(36)(59) cos x


Subtract (3481+1296) from both sides: 1521 - 4777 = -4248cos x

-3256 = -4248cos x

-3256

Then: cosx = --------------- = 0.766

-4248


Solving for x: x = arccos -0.766 = 0.698 radian, or 40 degrees (answer)

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5 0
3 years ago
2x-y=-2 3x-3y=15 método gráfico
zloy xaker [14]

Answer:

Cómo se vería si estuviera graficado:

2x−y=−2

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6 0
2 years ago
Read 2 more answers
Q2. In a school, 60% of the students are girls. 50% of the girls walk to school. 20% of the boys walk to school. What percentage
Sphinxa [80]

<em>Answer:</em>

<em>38%</em>

<em>Step-by-step explanation:</em>

<em>60 percent girls</em>

<em>50 percent of girls walk</em>

<em>50 percent take the bus</em>

<em></em>

<em>40 percent boys</em>

<em>20 percent walk</em>

<em>80 percent take the bus</em>

<em></em>

<em>If there are 100 people in the school</em>

<em>60 girls</em>

<em>30 girls take the bus</em>

<em></em>

<em>40 boys</em>

<em>8 boys walk</em>

<em></em>

<em>8+30=38</em>

<em>38% of the people walk to school</em>

8 0
2 years ago
Addison made 11 quarts of punch for her party. How many gallons of punch did she make? THANK YOU ;)
artcher [175]
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8 0
2 years ago
In triangle STU, u2 = s2 + t2. Triangle STU has sides s, t, u opposite to the corresponding vertices S, T, U Which equation is t
wlad13 [49]
Answer:
<span>The measure of angle SUT is equal to 90 degrees
</span>
Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²

Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.

According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.

Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°

Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees

Hope this helps :)
6 0
3 years ago
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