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Furkat [3]
3 years ago
7

Use your calculator to evaluate the trigonometric expression to the nearest hundredth.

Mathematics
1 answer:
Viefleur [7K]3 years ago
3 0

Answer:

Sin(17) = 0.29

Cosine (78) = 0.21

Step-by-step explanation:

This problem bothers on the trigonometry.

Here we are presented with two trigonometric numbers

Sine (17) and cosine (78)

1.Let us begin by using our calculator to find Sine (17).

Remember to set your calculator in degrees

Sin(17) =0.2923

To the nearest hundredth we have

Sin(17) = 0.29

2. We can do likewise for cosine(78) setting our calculator in degrees

Cosine (78) = 0.2079

To the nearest hundredth we have

Cosine (78) = 0.21

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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
Rainbow [258]

Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
ira [324]

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

8 0
3 years ago
What are the roots of the function y = 4x2 + 2x – 30? To find the roots of the function, set y = 0. The equation is 0 = 4x2 + 2x
nasty-shy [4]
4x² + 2x - 30 = 0
<span>
factor out the GCF:
</span>2(2x² + x - 15) = 0
<span>
factor the trinomial completely:
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2x² + 6x - 5x - 15 = 0
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(2x - 5)(x + 3) = 0

<span>use the zero product property and set each factor equal to zero and solve:
2x - 5 = 0     or     x + 3 = 0
2x = 5                   x = -3
x = 2.5

</span><span>The roots of the function are x=-3,  x=2.5</span>
8 0
3 years ago
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Answer:

(5×7)-(5×6) = 5×(7-6)

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3 years ago
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