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Alinara [238K]
4 years ago
15

Given: cos∅ =-4/5 , sinФ = -12/13 , ∅ is in the third quadrant, and Ф is in the fourth quadrant. Evaluate Sin(∅+Ф)

Mathematics
1 answer:
galina1969 [7]4 years ago
4 0

Answer:

63/65

Step-by-step explanation:

the angles are in fourth and third quadrants so all the sin and cos values are minus

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Consider this algebraic expression:     –3x + x + 5 Use the algebra tiles to model the expression.
luda_lava [24]

For this case, we have the following expression:

-3x + x + 5

We simplify the expression:

If we add similar terms, taking into account that different signs are subtracted and the sign of the greater one is placed, we have that -3x + x = -2x

So, we have to:

-3x + x + 5 = -2x + 5

Answer:

-3x + x + 5 = -2x + 5

6 0
3 years ago
Read 2 more answers
A segment XD is drawn in rectangle QUAD as shown
grin007 [14]

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

<em>A segment XD is drawn in rectangle QUAD as shown  below. </em>

<em>What are the measures of ∠XDQ and ∠UXD ? </em>

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> <em>∠UXD = </em>180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

5 0
3 years ago
Find the range of the function.
borishaifa [10]

Answer:

y >= 8

Step-by-step explanation:

This equation is written in vertex notation, so we know the vertex is (-5,8). The parabola opens upward because the coefficient of the squared term is positive. Therefore, the vertex is the minimum, meaning all y values will be greater than (or equal to) the y-coordinate of the vertex (which is 8). When we convert this into a mathematical inequality, we get y>=8.

7 0
3 years ago
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Differentiate with respect to x : 2xe^x​
Gnom [1K]

\\ \sf\longmapsto \dfrac{d}{dx}2xe^x

  • Apply product rule

\\ \sf\longmapsto \dfrac{d}{dx}2x(e^x)

\\ \sf\longmapsto 2x\dfrac{d}{dx}e^x+e^x\dfrac{d}{dx}2x

\\ \sf\longmapsto 2xe^x+2e^x

\\ \sf\longmapsto 2e^x(x+1)

7 0
3 years ago
Evaluate 64/1000√3 .<br> A. 1/125<br> B.32/500<br> C. 8/100<br> D. 4/10
kobusy [5.1K]
Start off by doing
64/1000
that should equal 0.064
0.064 and quare it by 3
0.4
which equals 4/10
8 0
3 years ago
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