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Katarina [22]
3 years ago
5

A game at the state fair has a circular target with a radius of 10.7 cm on a square board measuring 30 cm on a side. Players win

prizes if they throw a dart and hit the circular area only.
What is the probability of a player winning with one dart?
Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

The probability of hitting the circular area = P(H) = favorable area/ total area = Area of the circle / Area of the square

Step-by-step explanation:

= π/9

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Write the Taylor Series for f(x) = sin (x)center<br> 4x^4+3x^3+2x^2 x 8 centered at a 2
algol [13]

Answer:

attached images

Step-by-step explanation:

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3 years ago
skew-symmetric 3 x 3 matrices form as subspace of all 3 x 3 matrices and find a basis for this subspace.
Neporo4naja [7]

Answer:

a) ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

b) therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

Step-by-step explanation:

Given the data in the question;

W = { A| Air Skew symmetric matrix}

= {A | A = -A^T }

A ; O⁻ = -O⁻^T        O⁻ : Zero mstrix

O⁻ ∈ W

now let A, B ∈ W

A = -A^T       B = -B^T

(A+B)^T = A^T + B^T

= -A - B

- ( A + B )

⇒ A + B = -( A + B)^T

∴ A + B ∈ W.

∝ ∈ | R

(∝.A)^T = ∝A^T

= ∝( -A)

= -( ∝A)

(∝A) = -( ∝A)^T

∴ ∝A ∈ W

so by subspace, W is subspace of 3 × 3 matrix

A ∈ W

A = -AT

A = \left[\begin{array}{ccc}o&a&b\\-a&o&c\\-b&-c&0\end{array}\right]

= a\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] +b\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] +c\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]

therefore Basis of W is

={ {\left[\begin{array}{ccc}0&1&0\\-1&0&0\\0&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&1\\0&0&0\\-1&0&0\end{array}\right] ,\left[\begin{array}{ccc}0&0&0\\0&0&1\\0&-1&0\end{array}\right]}

8 0
3 years ago
Solve the variable x. 12yx = 5z
romanna [79]

Answer:

\boxed{\bold{x \ = \ \frac{5z}{12y} }}

Explanation:

  • Solve For X: 12yx = 5z

[ Divide Both Sides By 12y ]

12xy / 12y = 5z / 12y

  • x = 5z / 12y

- PNW

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Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h repre
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Answer:

Option A and D

Hope this helps!

7 0
3 years ago
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3. Armani has $7.00 in her purse consisting of nickels, dimes, and quarters. The total
True [87]

Answer:

700=700

Step-by-step explanation:

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2 years ago
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