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2 years ago

14

Find the exact value of sin(255∘)

1 answer:

Masteriza [31]2 years ago

5 0

Check the picture below.

$\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}$

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Billy had 24 trading cards. he gave 7 of his cards to miko and 9 of his cards to teri. what fraction of his original cards does

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9/24, 18/48 these are two equivalent fractions

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4 years ago

a barge can safely haul no more than 400 tons across the river. the barge has an empty weight of 24 tons. the average weight of

Vaselesa [24]

Answer:

The barge can carry up to 94 railroad cars.

Step-by-step explanation:

Create an inequality to represent the weight of the barge to the max weight.

24 + 4r ≤ 400

Solve for r:

4r ≤ 400 - 24

4r ≤ 376

4r ≤ 376/4

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3 years ago

3 QUESTIONS-30 POINTS<br> ATTACHMENTS BELOW

yan [13]

(6) 70, 70, 110

∠2 = ∠4 = 110° ( congruent angles )

∠3 = 180° - 110° = 70° ( straight angle )

∠1 = 70° ( vertically opposite ∠3 )

(9) ∠AEC = 15x - 11

since EC bisects ∠BED then ∠BEC = ∠CED = 4x + 1

∠AEC = ∠AEB + ∠BEC = 11x - 12 + 4x + 1 = 15x - 11

(7) x = 3

AC = AB + ABC = 32

2x + 6x + 8 = 32

8x + 8 = 32 ( subtract 8 from both sides )

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3 0

4 years ago

Can someone help with this. Heads up it's ratios

ohaa [14]

Answer:

<em>The median side measures 92 yards</em>

Step-by-step explanation:

Let's call x, y, and z the measures of the sides of the triangle.

The ratios between them are:

$\displaystyle \frac{x}{y}=\frac{4}{7}$

$\displaystyle \frac{x}{z}=\frac{4}{2}=2$

The first ratio gives the relation:

$\displaystyle y=\frac{7x}{4}$

The second ratio can be solved for z:

$\displaystyle z=\frac{x}{2}$

Since the perimeter is 299 yards:

$x+y+z=299$

Substituting the above relations:

$\displaystyle x+\frac{7x}{4}+\frac{x}{2}=299$

Multiplying by 4:

$4x + 7x+2x=1196$

Joining like terms:

$13x=1196$

Dividing by 13:

$x=1196/13$

x=92

Now calculate y:

$\displaystyle y=\frac{7\cdot 92}{4}$

y = 161

$\displaystyle z=\frac{92}{2}$

z=46

The median side measures 92 yards

8 0

3 years ago

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harina [27]

(x - 3)^2 + (y + 2))^2 = 49

Step-by-step explanation:

Have a good day!!

Kono Dio Da!!!!

6 0

3 years ago