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uranmaximum [27]
3 years ago
5

Qu. In a triangle ABC, side AB has length 10cm, side AC has length 5cm, and angle BAC = θ

Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Answer:

To find cosθ, use the formula for the area of a triangle i.e. AREA=1/2 x a x b x sinC.=> For this case: 15= 1/2 x 10 x 5 x sinC to find sinC.=> SinC = 3/5 thus, Arcsin(3/5)=+- 4/5 or +-0.8

To find the exact length of BC, use the cosine rule.=> c(sq)=a(sq)+b(sq)-2abCosC=> c(sq)=10(sq)+5(sq)-2(10)(5)(+-4/5)=> c(sq)= Square root of 205

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What is the result of adding these two equations?<br> 5x - y = 6<br> - 2x + y = 8
Eddi Din [679]

Answer:

x=14/3

Step-by-step explanation:

5x-y=6

+ -2x+y=8

----------------

5x+(-2x)-y+y=6+8

5x-2x-y+y=6+8

3x=14

x=14/3

I apologize if something is incorrect, please me know how to fix it. Thank you!

5 0
3 years ago
Consider the parametric curve x = 2t^(3)-3t^(2)+2 and y = t^(3)-12t,-pi leq t leq pi . (a) Find the values of t (if any) where t
bagirrra123 [75]

Answer:

  (a) t = ±2

  (b) t ∈ {0, 1}

  (c) In navigation terms: east by north. The slope is about 0.42 at that point.

Step-by-step explanation:

(a) dy/dx = 0 when dy/dt = 0

  dy/dt = 3t^2 -12 = 0 = 3(t -2)(t +2)

The slope is zero at t = ±2.

__

(b) dy/dx = (dy/dt)/(dx/dt) = <em>undefined</em> when dx/dt = 0

  dx/dt = 6t^2 -6t = 6(t)(t -1) = 0

The slope is undefined for t ∈ {0, 1}.

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(c) At t=3, dy/dx = (dy/dt)/(dx/dt) = 3(3-2)(3+2)/(6(3)(3-1)) = 15/36 = 5/12

The general direction of movement is away from the origin along a line with a slope of 5/12, about 22.6° CCW from the +x direction.

_____

The first attachment shows the derivative and its zeros and asymptotes. It also shows some of the detail of the parametric curve near the origin.

The second attachment shows the parametric curve over the domain for which it is defined, along with the point where t=3.

5 0
3 years ago
Pleeeeeese helppp!!!!!!!!!!!
Svetlanka [38]
I think 17.2 sorry if im wrong

7 0
3 years ago
Find the missing length. Round your answer to the nearest tenth.
Jobisdone [24]
Answer: D. 9.4 units

Explanation: We use the Pythagoras theorem because we know that it’s a right triangle and we have 2 lengths.

8^2+5^2= c^2

89=c^2
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5 0
3 years ago
Read 2 more answers
Simplify  ( √ 5 ) ( 3 √ 5 )
Amiraneli [1.4K]

Answer:

5^\frac{5}{6}

Step-by-step explanation:

\sqrt{5} can be represented as 5^{\frac{1}{2}} and \sqrt[3]5} can be represented as 5^{\frac{1}{3}}. Therefore, the expression can be rewritten as:

5^{\frac{1}{2}}*5^{\frac{1}{3}}

The rule for multiplying two exponents with the same base is you add the exponents. For example: x^m*x^k=x^{m+k}

We can use the same property to get:

5^{\frac{1}{2} +\frac{1}{3}}

which is just 5^\frac{5}{6} after you add the fractions

8 0
3 years ago
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