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Shtirlitz [24]
3 years ago
14

What is the answer to (t+8)(-2)=12

Mathematics
2 answers:
Lunna [17]3 years ago
8 0
(t + 8) (-2) = 12

Distributive property >>>      -2t + -16 = 12

Inverse operation >>>>    -2t + -16+16 = 12+16
 
Simplify >>>>                 -2t = 28

Divide >>>>                       -2t/-2 = 28/-2

Final answer >>>>              t = -14
storchak [24]3 years ago
3 0
<span>Step 1: Simplify both sides of the equation.
<span><span><span>(<span>t+8</span>)</span><span>(<span>−2</span>)</span></span>=12
</span></span><span><span>Simplify: </span><span><span><span><span><span><span>(t)</span><span>(<span>−2</span>)</span></span>+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>=12
</span>(Distribute)</span><span><span><span><span>−<span>2t</span></span>+</span>−16</span>=12</span></span></span><span><span><span><span>−<span>2t</span></span>−16</span>=12
</span>Step 2: Add 16 to both sides.<span><span><span><span>−<span>2t</span></span>−16</span>+16</span>=<span>12+16</span></span><span><span>−<span>2t</span></span>=28
</span>Step 3: Divide both sides by -2.<span><span><span>−<span>2t/</span></span><span>−2</span></span>=<span>28/<span>−2
</span></span></span><span>t=<span>−<span>14</span></span></span></span>
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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?
kotegsom [21]

The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

Step-by-step explanation:

The given is,

                   In ΔWXY, ∠Y=90°

                        XW = 53

                         YX = 28

                        WY = 45

Step:1

             Ref the attachment,

             Given triangle XWY is right angled triangle.

             Trigonometric ratio's,

                              Cos ∅  = \frac{Adj}{Hyp}    

             For the given attachment, the trigonometric ratio becomes,

                              Cos ∅  = \frac{XY}{XW}.....................................(1)

             Let, ∠X = ∅

             Where, XY = 28

                         XW =  53

             Equation (1) becomes,

                                 Cos ∅  = \frac{28}{53}

                                 Cos ∅ = 0.5283

                                        ∅ = cos^{-1} (0.5283)

                                        ∅ = 58.109°

Result:

          The value of ∠X = 58.11°, If ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45.

             

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