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Veronika [31]
2 years ago
5

Find m∠U. Write your answer as an integer or as a decimal rounded to the nearest tenth.

Mathematics
1 answer:
madam [21]2 years ago
7 0

Answer:

Answer:

50.2

Step-by-step explanation:

ut =  \sqrt{ {6}^{2}  +  {5}^{2} }   \\  \sqrt{36 + 25}  \\  \sqrt{61 }  \\ using \: cosine \: rule \\ cos \: u =  \frac{ {5}^{2} + 61 - 36 }{2 \times 5 \times  \sqrt{61} }  \\  \\  =  \frac{25 + 61 - 36}{78}  \\  \\  = \frac{50}{78 }  \\  \cos \: u = 0.64 \\  \m∠U.: = 50.2

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Find the value of the variables ​
Vedmedyk [2.9K]

Answer:

x = 15

y = 12

z = 20

Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

then y = 12

8 0
2 years ago
Can someone please help me figure this out, thanks!
AURORKA [14]

Answer:

The set of numbers that could not represent the three sides of a right triangle are;

{9, 24, 26}

Step-by-step explanation:

According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;

r² = x² + y²

Where;

r > x, r > y

Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;

Set 1;

95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle

Set 2;

82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle

Set 3;

26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle

Set 4;

39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle

4 0
3 years ago
What is y-4= -2(x+7) written in standard form
belka [17]

Answer:

2x + y = -10

Step-by-step explanation:

Simplify −2(x+7)

y−4=−2x−14

Move all terms containing variables to the left side of the equation.

2x+y−4= −14

Move all terms not containing a variable to the right side of the equation.

2x + y = −10

Hope this helps

7 0
3 years ago
They will build another fence that is 48 feet long. The posts can be a minimum of 5 feet apart and a maximum of 9 feet apart. Th
lozanna [386]
6 posts at 8 feet apart because 8 goes into 48 equally and you get 6. 48/8=6

Hope this helps!
4 0
3 years ago
Please help solve this
neonofarm [45]
F(x)= (x+13)(x-2) in expanded form, it would be x^2+11x-26
5 0
3 years ago
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