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3 years ago

Which equation represents a true sine ratio in triangle ABC

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

$sin(A)=\frac{h}{c}$

Step-by-step explanation:

we know that

The value of sine of an angle in a right triangle is equal to the opposite side of the angle divided by the hypotenuse

$sin(A)=\frac{h}{c}$

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Find the first four terms of the sequence given by the following. aₙ=43-3(n-1) n=1,2,3. . .

Serggg [28]

Given :-

The general term of a sequence is given by aₙ=43-3(n-1) .

To Find :-

The first four terms of the sequence.

Solution :-

The given expression is $/$

→ aₙ=43-3(n-1)

where n > 0

Finding the first term :

Substituting n = 1 , we have ,

→ T1 = 43 - 3(1-1)

→ T1 = 43 - 3*0

→ T1 = 43 - 0 = 43

Finding the second term :

Substituting n = 2 , we have,

→ T2 = 43 -3(2-1)

→ T2 = 43 -3*1

→ T2 = 43 -3 = 40

Finding the third term :

Substituting n = 3 , we have,

→ T3 = 43 -3(3-1)

→ T3 = 43 -3*2

→ T3 = 43 -6 = 37

Finding the fourth term :

→ T4 = 43 -3(4-1)

→ T4 = 43 -3*3

→ T4 = 43-9 = 34

Hence the first four terms of the sequence are 43 , 40 , 37 and 34 .

I hope this helps . Let me know if you need further clarification .

7 0

1 year ago

Consider an arbitrary ellipse x 2 a 2 + y 2 b 2 = 1. (Assume a, b > 0.) (a) Find a parametrization of the ellipse using the d

uysha [10]

Answer:

α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]

Step-by-step explanation:

Given an arbitrary ellipse (x²/a²) + (y²/b²) = 1 (a, b > 0)

The parametrization can be as follows

x = -a*Sin(t)

y = b*Cos (t)

then

α(t) = (-a*Sin(t), b*Cos (t)) where t ∈ [0, 2π]

If t = 0

α(0) = (-a*Sin(0), b*Cos (0)) = (0, b)

If t = π/2

α(π/2) = (-a*Sin(π/2), b*Cos (π/2)) = (-a, 0)

If t = π

α(π) = (-a*Sin(π), b*Cos (π)) = (0, -b)

If t = 3π/2

α(3π/2) = (-a*Sin(3π/2), b*Cos (3π/2)) = (a, 0)

If t = 2π

α(2π) = (-a*Sin(2π), b*Cos (2π)) = (0, b)

We can see the sketch in the pic.

7 0

3 years ago

Read 2 more answers

Suppose each cube in this right rectangular prism is a 1 2 -inch unit cube. What are the dimensions of the prism? What is the vo

lubasha [3.4K]

Answer:

<h2>The lengths of the sides of a small cube are = foot. Volume of cube = side x side x side. V = = cubic foot. Number of small cubes that can be packed in the prism = = = = 180 cubes. Hence, 180 cubes can be packed into rectangular prism. Part B: Unit cube volume is 1x1x1 =1 cubic foot. So, 180 cubes will have 180 cubic foot volume.</h2>

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help!

kirill115 [55]

Answer:

73 and 113 / 144 ft^2

Step-by-step explanation:

Lets convert everything into pure feet.

10ft 5in = 10 and 5/12 feet = 125/12 feet

14ft 2in = 14 and 1/6 feet = 85/6

Now lets calculate area:

1/2 * 125/12 * 85/6 = 125*85 / 144 = 73 and 113/144

3 0

2 years ago

Is x = 1/2 a solution of 6 x − 8 = −5 ?

Igoryamba

Answer:

Yes

Step-by-step explanation:

When we solve it we get 0.5 which is 1/2 in fraction from

7 0

2 years ago