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gavmur [86]
2 years ago
10

MathsWatch Question Please Help

Mathematics
1 answer:
seraphim [82]2 years ago
8 0
Make sure you make me brainest

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Find the values of the sine, cosine, and tangent for ZA.<br><br> (TOP OF TRIANGLE IS (A))
Sloan [31]

\bigstar\:{\underline{\sf{In\:right\:angled\:triangle\:ABC\::}}}\\\\

  • AC = 7 m
  • BC = 4 m

⠀⠀⠀

\bf{\dag}\:{\underline{\frak{By\:using\:Pythagoras\: Theorem,}}}\\\\

\star\:{\underline{\boxed{\frak{\purple{(Hypotenus)^2 = (Perpendicular)^2 + (Base)^2}}}}}\\\\\\ :\implies\sf (AB)^2 = (AC)^2 + (BC)^2\\\\\\ :\implies\sf (AB)^2 = (AB)^2 = (7)^2 = (4)^2\\\\\\ :\implies\sf (AB)^2 = 49 + 16\\\\\\ :\implies\sf (AB)^2 = 65\\\\\\ :\implies{\underline{\boxed{\pmb{\frak{AB = \sqrt{65}}}}}}\:\bigstar\\\\

⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━

☆ Now Let's find value of sin A, cos A and tan A,

⠀⠀⠀

  • sin A = Perpendicular/Hypotenus = \sf \dfrac{4}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{4 \sqrt{65}}{65}}

⠀⠀⠀

  • cos A = Base/Hypotenus = \sf \dfrac{7}{\sqrt{65}} \times \dfrac{\sqrt{65}}{\sqrt{65}} = \pink{\dfrac{7 \sqrt{65}}{65}}

⠀⠀⠀

  • tan A = Perpendicular/Base = {\sf{\pink{\dfrac{4}{7}}}}

⠀⠀⠀

\therefore\:{\underline{\sf{Hence,\: {\pmb{Option\:A)}}\:{\sf{is\:correct}}.}}}

4 0
3 years ago
What is the next number 486, 162, 54, 18
Lesechka [4]
The pattern is to divide by 3

486 ÷ 3 = 162
162 ÷ 3 = 54
  54 ÷ 3 = 18
  18 ÷ 3 = 6

The next number is 6
5 0
3 years ago
Read 2 more answers
Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. On Tuesday night, he ate 1/2 of what was left. H
ale4655 [162]

Answer: 1/3

Step-by-step explanation:

From the question, we are informed that Pranav ate pizza for dinner on Monday night and had 2/3 of the pizza left over. We are further told that on Tuesday night, he ate 1/2 of what was left.

The amount of pizza that Pranav ate on Tuesday will be:

= 1/2 × 2/3

= 1/3

She ate 1/3 on Tuesday

6 0
3 years ago
Classify each sequence as arithmetic, geometric, or neither by dragging it into the correct box.
Elena L [17]

Answer:from crud v4v

Step-by-step explanation:

l rfnv u4hf u4ihfcfnoijn3

3 0
3 years ago
z varies jointly with x and y. When x = 2 and y = 3, z = 60. What is the value of z when x = 4 and y = 9?
kondor19780726 [428]
2 x 3 = 6 x 10 = 60
<em>Assuming that you are using the same rule:
</em><em>4 x 9 x 10 = 360
</em>The value of z when x = 4 and y = 9 is 360. Hope this helped!
6 0
3 years ago
Read 2 more answers
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