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2 years ago

What is the length of side s of the square shown below?

Mathematics

2 answers:

Lerok [7]2 years ago

6 0

Answer:

this is sine rule in trigonometry therefore:

sin90 = sin45

8. S

S sin90 = 8*sin45
S=8*sin45

sin45

S=5.656854249

Step-by-step explanation:

therefore S is 5

avanturin [10]2 years ago

6 0

Answer: S = 5.6569

Step-by-step explanation:

Given; let A=45° a = s B=90 ° b=8

using the sine rule;

sinA / a = sin B / b

sin45° / s = sin90° / 8

cross multiply

s × sin 90° = 8 × sin 45°

s × sin 90° = 8 × 0. 7071

s × 1 = 5. 6569

s = 5. 6569

Therefore; the length of the square is 5. 6569

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A machine shop produces heavy duty high endurance 20-inch rods that are meant for use in a variety of military grade equipment.

QveST [7]

Answer:

The probability that a defective rod can be salvaged = 0.50

Step-by-step explanation:

Given that:

A machine shop produces heavy duty high endurance 20-inch rods

On occasion, the machine malfunctions and produces a groove or a chisel cut mark somewhere on the rod.

If such defective rods can be cut so that there is at least 15 consecutive inches without a groove.

Then; The defective rod can be salvaged if the groove lies on the rod between 0 and 5 inches i.e ( 20 - 15 )inches

Now:

P(X ≤ 5) = $\dfrac{5}{20}$

= 0.25

P(X ≥ 15) = $\dfrac{5}{20}$

= 0.25

The probability that a defective rod can be salvaged = P(X ≤ 5) + P(X ≥ 15)

= 0.25+0.25

= 0.50

∴ The probability that a defective rod can be salvaged = 0.50

4 0

2 years ago

What is the value of x+y when 16 to the power X substrate 16 to the power Y is 64512 and 4 to the power x substrate 4 to the pow

Iteru [2.4K]

Answer:

dont know sorry

5 0

2 years ago

What are the domain and range of f (x) = (one-fifth) Superscript x?

natka813 [3]

Answer:

The domain of the function is all real numbers $(-\infty,\infty)$ and the range is all positive real numbers $(0,\infty)$

Step-by-step explanation:

We have the following function $f(x)=(\frac{1}{5} )^x$ and we want to find the domain and the range.

The function we have is an example of an exponential function $f(x)=b^x$ with b > 0 and b ≠ 1. This types of functions in general have the following properties:

It is always greater than 0, and never crosses the x-axis
Its domain is the set of real numbers
Its Range is the Positive Real Numbers $(0,\infty)$

The domain of a function is the specific set of values that the independent variable in a function can take on.

When determining domain it is more convenient to determine where the function would not exist.

This function has no undefined points nor domain constraints. Therefore the domain is $(-\infty,\infty)$ .

The range is the resulting values that the dependent variable can have as x varies throughout the domain. Therefore the range is $(0,\infty)$ .

We can check our results with the graph of the function.

7 0

2 years ago

Read 2 more answers

Chris tried to rewrite the expression \left( 4^{-2} \cdot 4^{-3} \right)^{3}(4

crimeas [40]

We have been given an expression $\left( 4^{-2} \cdot 4^{-3} \right)^{3}$ . We have been given steps how Chris tried to solve the given expression. We are asked to choose the correct option about Chris's work.