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Mashutka [201]
2 years ago
8

What is the value of x

Mathematics
1 answer:
garik1379 [7]2 years ago
4 0
The value of x is 25. you have the measurements 68 and 107 so you add those together and subtract that from 180 then you are left with 25 degrees.
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Find the value of x and the value of y.
Elan Coil [88]

Answer:

Step-by-step explanation:

According to the diagram ,

Hypotenuse = 10√3

Opposite = x

Adjacent = y

α = 60

Using SOHCAHTOA ,

Sin α = opp / hyp

Sin 60= x/10√3

√3/2= x/10√3

x = 15

Pythagoras theorem ;

Hypotenuse ^2 = Opposite ^2 +Adjacent ^2

10√3 ^2 = 15^2+ y^2

300 = 225 +y ^2

300 -225 = y^2

75 = y^2

y = √75y

y = 5√3

5 0
3 years ago
Can you help? photo is included<br><br><br><br><br><br><br>​
laiz [17]

Answer:

Step-by-step explanation:

f(x)=-4x+2

g(x)=x²+1

(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6

(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102

3 0
3 years ago
The function f(t) = t2 + 6t − 20 represents a parabola.
Novay_Z [31]
Part A: f(t) = t² + 6t - 20
              u = t² + 6t - 20
         + 20            + 20
      u + 20 = t² + 6t
u + 20 + 9 = t² + 6t + 9
      u + 29 = t² + 3t + 3t + 9
      u + 29 = t(t) + t(3) + 3(t) + 3(3)
      u + 29 = t(t + 3) + 3(t + 3)
      u + 29 = (t + 3)(t + 3)
      u + 29 = (t + 3)²
          - 29       - 29
              u = (t + 3)² - 29

Part B: The vertex is (-3, -29). The graph shows that it is a minimum because it shows that there is a positive sign before the x²-term, making the parabola open up and has a minimum vertex of (-3, -29).
------------------------------------------------------------------------------------------------------------------
Part A: g(t) = 48.8t + 28           h(t) = -16t² + 90t + 50
            | t |   g(t)  |                          |  t  |  h(t)  |
            |-4|-167.2|                          | -4 | -566 |
            |-3|-118.4|                          | -3 | -364 |
            |-2| -69.6 |                          | -2 | -194 |
            |-1| -20.8 |                          | -1 |  -56  |
            |0 |   -28  |                          |  0  |   50  |
            |1 |  76.8 |                          |  1  |  124 |
            |2 | 125.6|                          |  2  | 166  |
            |3 | 174.4|                          |  3  | 176  |
            |4 | 223.2|                          |  4  | 154  |
The two seconds that the solution of g(t) and h(t) is located is between -1 and 4 seconds because it shows that they have two solutions, making it between -1 and 4 seconds.

Part B: The solution from Part A means that you have to find two solutions in order to know where the solutions of the two functions are located at.
4 0
3 years ago
Read 2 more answers
(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term
kolbaska11 [484]

Answer:

a_n=5-2(n-1), all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

a_n=a_1+d(n-1)

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

a_1=5\\a_2=3

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

d=a_2-a_1=3-5=-2

substitute the given values in the formula

a_n=5-2(n-1)

The domain is all integers for n\geq 1

3 0
3 years ago
The price of a watch was increased by 20% to £198.<br> What was the price before the increase?
garik1379 [7]

Answer:

158.4

Step-by-step explanation:

5 0
3 years ago
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