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BartSMP [9]
4 years ago
8

Solution for 8x-3(2x-4)=3(x-6)

Mathematics
1 answer:
NNADVOKAT [17]4 years ago
4 0
The solution is x=30
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Use the information that sin⁡θ=35 and 90°<θ<180° to answer the following questions. Part A: Which equation shows cos2θ+sin
gizmo_the_mogwai [7]

Answer:

(a) cos\theta = \sqrt{1-sin^2\theta}

(b) cos\theta = \frac{4}{5}

(c) cos\theta = -\frac{4}{5}

Step-by-step explanation:

Given that  90°< θ<180°  and sin\theta= \frac{3}{5}

Since  90°< θ<180° so θ lies in second quadrant where sinθ is positive but cosθ is negative.

(a) The identity,

Sin²θ+cos²θ= 1

⇒cos²θ=1-sin²θ

\Rightarrow cos\theta = \sqrt{1-sin^2\theta}

(b)

cos\theta = \sqrt{1-sin^2\theta}    [ Since the quadrant is not considered]

\Rightarrow cos\theta = \sqrt{1-(\frac{3}{5})^2 }

\Rightarrow cos\theta = \sqrt{1-(\frac{9}{25}) }

\Rightarrow cos\theta = \sqrt{(\frac{25-9}{25}) }

\Rightarrow cos\theta = \sqrt{\frac{16}{25} }

\Rightarrow cos\theta = \frac{4}{5}

(c)

cos\theta = -\sqrt{1-sin^2\theta}    [ since cos θ is negative in second quadrant]

\Rightarrow cos\theta = -\sqrt{1-(\frac{3}{5})^2 }

\Rightarrow cos\theta = -\sqrt{1-(\frac{9}{25}) }

\Rightarrow cos\theta = -\frac{4}{5}

8 0
3 years ago
12 in.<br>11 in.<br>17 in.<br>16 in. -​
Jet001 [13]

Answer:

  16. 216 square inches

  18. 252 square cm

Step-by-step explanation:

16. The figure can be decomposed into a 12×17 rectangle and a triangle with base 16-12=4 and height 17-11=6.

Then the area is ...

  rectangle area = 12×17 = 204

  triangle area = (1/2)(4×6) = 12

  total area = rectangle area + triangle area = 204 +12 = 216 . . . square inches

__

18. The figure can be decomposed into a 12×12 square and a 18×6 rectangle. Then the total area is ...

  area = 12×12 + 18×6 = 252 . . . square cm

7 0
3 years ago
Answer that for me please i am very confused
madreJ [45]
They are asking how to rewrite the equation with it as x= what ever comes after
example 4*x=20  so x= 20/4
4 0
3 years ago
Read 2 more answers
WILL GIVE BEAINLIEST
Readme [11.4K]
The two angles are supplementary.

6x + 4 + 10x = 180
16x + 4 = 180 
16x = 176
x = 11

Hope this helps :)
6 0
3 years ago
Read 2 more answers
What is the volume of the right rectangular prism 
Norma-Jean [14]

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

7 0
3 years ago
Read 2 more answers
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