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Minchanka [31]
3 years ago
7

200 students study either Geography or History.

Mathematics
1 answer:
romanna [79]3 years ago
4 0

Answer:

i think you forgot the table

Step-by-step explanation:

have a nice day! (^o^)

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The sides of a triangle have lengths of x, x + 5, and 25. If the longest side is 25, which of the following values of x would ma
Amiraneli [1.4K]
In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20


The length of a side must be a positive number, so x=15.
The answer is C.
6 0
3 years ago
13. (02.05)<br> Simplify i37 (radical is 37 with the i)<br> 1<br> -1<br> -i <br> i
Vinvika [58]

Answer:

i

Step-by-step explanation:

i=√-1

6 0
3 years ago
What is the inverse of the function f(x) =1/4 x – 12?
forsale [732]
F=x-48 over 4x. I hope that is right :)
8 0
3 years ago
Read 2 more answers
A vector is in standard position, with its terminal point in the second quadrant and an x-coordinate of –5. The vector has a mag
joja [24]

a.

The y-coordinate of the vector with its terminal point in the second quadrant is 6.

The magnitude of the vector, r = √(x² + y²) where x = x-coorcinate of vector = -5 and y = y-coordinate of vector.

Since r = √61 and r = √(x² + y²)

Making y subject of the formula, we have

y = √(r² - x²)  

Substituting the values of the variables into the equation, we have

y = √((√61)² - (-5)²)  

y = √(61 - 25)  

y = ±√36

y = ±6

Since r is in the second quadrant, its y-coordinate is positive.

So, y = 6

So, the y-coordinate of the vector with its terminal point in the second quadrant is 6.

b.

The direction angle of the vector with its terminal point in the second quadrant is 130°

The direction angle of the vector is gotten from tanФ = y/x

Subsstituting x and y into the equation, we have

tanФ = y/x

tanФ = 6/-5

tanФ = -1.2

tan(180° - Ф) = 1.2

Taking inverse tan of both sides, we have

180° - Ф = tan⁻¹(1.2)

180° - Ф = 50.2°

Ф = 180° - 50.2°

Ф = 129.8°

Ф ≅ 130° to the neares whole number

The direction angle of the vector with its terminal point in the second quadrant is 130°.

Learn more about vectors here:

brainly.com/question/18478651

3 0
2 years ago
ULICU<br> Find k.<br> k<br> 45°<br> 7-12 m<br> 45°<br> O 7<br> O 72<br> O 7V2<br> 2<br> O 14
Lera25 [3.4K]

Answer:

O7v2 hope that helps ya! Mark as brainlest

6 0
2 years ago
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