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faust18 [17]
3 years ago
8

Find the value of x.

Mathematics
1 answer:
vodka [1.7K]3 years ago
4 0

Answer:

x + 39° = 180° (internal angles of a triangle add up to 180°)

x = 180° - 39°

<u>x = 141°</u>

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3&lt;3x+6&lt;24<br><br>i keep getting 1 &lt; x &lt; 6<br>but the answer says -1 &lt; x &lt; 6
lara [203]
3 < 3x+6
-3<3x
-1<x

3x+6<24
3x<18
x<6

-1<x<6 the book is right

6 0
3 years ago
A TV report conducted a survey of 947 people in New York City and found that 35% of the population believe that the Yankees will
garik1379 [7]

Answer:

35\% represents the sample proportion of the population

Step-by-step explanation:

From the question we are told that

   The sample size is  n  = 947

   The proportion of the population that believes that the Yankees will miss the playoffs this year is    k = 35\% = 0.35

From the question we are told the confidence level is  97%

   The lower limit of the confidence level is a = 28%

    The upper limit of the  b = 42%

Generally the sample proportion of this population is mathematically represented as

         \^ p = \frac{a+ b}{2}

=>      \^ p = \frac{28 + 42 }{2}

=>      \^ p = 35\%

Hence  35\% represents the sample proportion

8 0
3 years ago
Given the measures a = 10, b = 40, and A = 30°, how many triangles can possibly be formed?
arlik [135]

Answer:

no triangle can be formed with the given values (i.e 0 triangle).

Step-by-step explanation:

Given;

length of side a, = 10

length of side b, = 40

angle A, = 30°

Apply sine rule to determine the angle of the second side (B);

\frac{sin \ A}{a} = \frac{sin \ B}{b} \\\\\frac{sin \ 30^0}{10} = \frac{sin \ B}{40}\\\\sin \ B = 40(\frac{0.5}{10} )\\\\sin \ B = 2

The maximum sine function is 1, there is no sine function that will be equal to 2, so there is no triangle that can be formed with the given values.

8 0
3 years ago
If f(x)=3x+2 what is the equation for f^-1(x)
Elden [556K]

Answer:

  f^-1(x) = (x -2)/3

Step-by-step explanation:

To find the inverse function, swap x and y, then solve for y.

  y = 3x +2 . . . . given function

  x = 3y +2 . . . . inverse relation

  x -2 = 3y . . . . subtract 2

  (x -2)/3 = y . . . divide by 3

f^-1(x) = (x -2)/3 . . . . in functional form

4 0
3 years ago
This is a word problem: You are riding a ski lift at a position 57 feet off the ground. You spot one of your friends skiing belo
Varvara68 [4.7K]

Answer:6 minutes

Step-by-step explanation:

6 0
3 years ago
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