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GarryVolchara [31]
3 years ago
14

In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

x=15^\circ

Step-by-step explanation:

In a right triangle:

\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)

Therefore, given:

Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ

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11/ 42 Marks
amm1812

Answer:

(a)x=128 degrees

(b)\angle APD\neq 116^\circ

Step-by-step explanation:

\angle ABD+\angle CBD =180^\circ$ (Linear Postulate)\\\angle ABD+116^\circ =180^\circ\\\angle ABD=180^\circ-116^\circ\\\angle ABD=64^\circ

(a) Now:

\angle AOD=2 \times \angle ABD$ (Angle at the centre is twice the  angle at the circumference)\\x=2 \times 64^\circ\\x=128^\circ

(b)

\angle APD=2 \times \angle ABD$ (Inscribed Angle Theorem)\\\angle APD=2 \times 64^\circ\\ \angle APD=128^\circ

\angle APD\neq 116^\circ

7 0
3 years ago
Solve 5.4p+13.1=−2.6p+3.5 . Check your solution.<br><br><br><br> p= __
maxonik [38]

5.4p +13.1 = −2.6p+3.5 .

5.4p + 2.6p = 3.5 -13.1

8.0p = -9.6

p = -9.6 / 8

p = -1.2

3 0
2 years ago
What does 693 / 74 equal
lara31 [8.8K]
The answer is 9.37 when it is rounded up.
if i helped can i get a brainiest answer please
8 0
3 years ago
Read 2 more answers
A music website charges x dollars for individual songs and y dollars for entire albums. Person A pays $25.92 to download 6 indiv
kati45 [8]
Amount charged for downloading individual songs = x dollars
Amount charged for downloading an entire album = y dollars
In respect to person A:
6x + 2y = 25.92
3x + y = 12.96
y = 12.96 - 3x
In respect to person B:
4x + 3y = 33.93
Putting the value of y from the first equation in the second, we get
4x + 3(12.96 - 3x) = 33.93
4x + 38.88 - 9x = 33.93
- 5x = - 4.95
x = 0.99 dollars
Putting the value of x in the first equation, we get
y = 12.96 - 3x
   = 12.96 - 2.97
   = 9.99 dollars

7 0
3 years ago
Each week. You make $10.00 but you spend $3.00 and save the rest. How much would you save in 8 weeks?
Marianna [84]
10*8=80
3*8=24
80-24=56
You would save $56.00 in 8 weeks
7 0
3 years ago
Read 2 more answers
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