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denis23 [38]
3 years ago
11

In TUV below, find m T to the nearest degree

Mathematics
2 answers:
Andre45 [30]3 years ago
7 0

Answer:

T = 88 degrees to the nearest degree

Step-by-step explanation:

To find the measure of the angle T, we can use the cosine rule

We have the formula as;

t^2 = u^2 + v^2 - 2uv Cos T

t = 8.1

u = 7.1

v = 4.2

8.1^2 = 7.1^2 + 4.2^2 - 2(7.1)(4.2) cos T

-2.44 = -59.64 cos T

cos T = (2.44)/(59.64)

T = arc cos (2.44/59.64)

T = 87.66

to the nearest degree, this is 88 degrees

iren [92.7K]3 years ago
3 0

Answer

The guy above me is correct but I'm gonna explain it better

Step-by-step explanation:

Step ONE 1.- Arrange the equation: Choose an equation from the LAW OF COSINES.

8.1^2= 7.1^2 + 4.2^2 - 2(7.1)(4.2) COS(T)

Step 2- Solve

65.61= 68.05-59.64 x COS(T)

Step 3- Inverse Operation (SUBTRACT: 65.61-68.05)

65.61= 59.64 x COS(T)

-68.05

INVERSE OPERATION AGAIN (DIVIDE: -2.44/59.64)

-2.44/59.64= COS(T)

INVERSE OPERATION ONE LAST TIME

WE MUST GET THE "T" ALONE SO WE MUST MOVE THE "COS" TO THE OTHER SIDE "COS^-1 (Cos (x))

Cos ^-1 (-.04)= (T)

87.707= T

ROUND: ROUND 87.707 TO THE NEAREST DEGREE.

88 = T  

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3 years ago
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DIA [1.3K]

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️The y-intercept is the value of y when x = 0. From the table of values, it shows that when x = 0, y = -5. Therefore:

y-intercept (b) = -5

✔️using two pairs from the table, (1, -1) and (2, 3):

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valina [46]

Answer:

\displaystyle T'(  2,4)

\displaystyle U'( 1,1)

\displaystyle S' ( 3,2)

Step-by-step explanation:

we current vertices of the given triangle

  • \displaystyle T( - 2,4)
  • \displaystyle U( - 1,1)
  • \displaystyle S ( - 3,2)

remember that,

\rm\displaystyle(x,y) \xrightarrow{ \rm reflection \:  over \: y - axis}( -  x,y)

so we obtain:

\rm\displaystyle \: T( - 2,4) \xrightarrow{ \rm reflection \:  over \: y - axis}T'(  2,4)

\rm\displaystyle \: U( - 1,1) \xrightarrow{ \rm reflection \:  over \: y - axis}U' ( 1,1)

\rm\displaystyle S( - 3,2) \xrightarrow{ \rm reflection \:  over \: y - axis}S'( 3,2)

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