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Arte-miy333 [17]
3 years ago
7

Write an expression to represent the total cost of paint at a rate of $5.75 per ft.? to paint a triangular-shaped mural where th

e base of the triangle is 22 feet longer than the height
Mathematics
1 answer:
ASHA 777 [7]3 years ago
7 0

Answer:

C($)= (x²/2 +11x)5.75

Step-by-step explanation:

Let's assume the height= x

The base= x+22

Area= 1/2(base*height).

Area= 1/2((x+22)(x))

Area= x²/2 +11x

Cost per ft= $5.75

Cost for painting the triangular mural C

C($)= (x²/2 +11x)5.75

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In a certain computer, the probability of a memory failure is 0.01, while the probability of a hard disk failure is 0.02. If the
ratelena [41]

Answer:

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

So then we can conclude that the two events given are not independent and have a relationship or dependence.

Step-by-step explanation:

For this case we can define the following events:

A= In a certain computer a memory failure

B= In a certain computer a hard disk failure

We have the probability for the two events given on this case:

P(A) = 0.01 , P(B) = 0.02

We also know the probability that the memory and the hard drive fail simultaneously given by:

P(A \cap B) = 0.0014

And we want to check if the two events are independent.

We need to remember that we have independent events when a given event is not affected by previous events, and we can verify if two events are independnet with the following equation:

P(A \cap B) = P(A) *P(B)

For this case we have that:

P(A) *P(B) = 0.01*0.02= 0.0002

And we see that 0.0002 \neq P(A \cap B)

So then we can conclude that the two events given are not independent and have a relationship or dependence.

8 0
3 years ago
Solve the eqauation 76a^3+19a^2+16a=-4
Crazy boy [7]

Answer:

The solutions are a₁ = -4/19 i, a₂ = 4/19 i and a₃ = -1/4

Step-by-step explanation:

Given the equation 76a³+19a²+16a=-4, for us to solve the equation, we need to find all the factors of the polynomial function. Since the highest degree of the polynomial is 3, the polynomial will have 3 roots.

The equation can also be written as (76a³+19a²)+(16a+4) = 0

On factorizing out the common terms from each parenthesis, we will have;

19a²(4a+1)+4(4a+1) = 0

(19a²+4)(4a+1) = 0

19a²+4 = 0 and 4a+1 = 0

From the first equation;

19a²+4 = 0

19a² = -4

a² = -4/19

a = ±√-4/19

a₁ = -4/19 i, a₂ = 4/19 i (√-1 = i)

From the second equation 4a+1 = 0

4a = -1

a₃ = -1/4

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