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yaroslaw [1]
2 years ago
14

Solve the following proportion. х 42 35 10

Mathematics
1 answer:
anzhelika [568]2 years ago
6 0

Answer:

12

Step-by-step explanation:

The proportion is equal to \frac{x}{10}=\frac{42}{35}

We can simplify the right side by dividing by 7/7 to get the right side equal to 6/5. Now we can cross-multiply to get

60=5x

Dividing both sides by 5, we have the answer as

x=12

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According to ​Lambert's law​, the intensity of light from a single source on a flat surface at point P is given by Upper L equal
malfutka [58]

Answer:

(a) L = k*(1 - sin^{2}(\theta))        

(b) L reaches its maximum value when θ = 0 because cos²(0) = 1

Step-by-step explanation:

Lambert's Law is given by:

L = k*cos^{2}(\theta)   (1)

(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:

cos^{2}(\theta) + sin^{2}(\theta) = 1

cos^{2}(\theta) = 1 - sin^{2}(\theta)  (2)

By entering equation (2) into equation (1) we have the equation in terms of the sine function:

L = k*(1 - sin^{2}(\theta))        

(b) When θ = 0, we have:

L = k*cos^{2}(\theta) = k*cos^{2}(0) = k  

We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...

Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.

I hope it helps you!

5 0
3 years ago
Read 2 more answers
I don’t understand what #5 is asking me to do! Ty
Aleksandr-060686 [28]

You have to explain how you knew to use 55 and 120, not another option.

Hope it helped! :)

4 0
3 years ago
Which term describes a fraction that has a variable or variable expression in its numerator, its denominator, or both?
inna [77]
<span>The right answers is B. Rational expression.

This is true given that the statement establishes a term that describes a fraction that has a <em>variable or variable expression</em> in its numerator, denominator or both, that is, this is the concept of the quotient of two polynomials called rational expression. Finally, we can get the following rational expressions that matches with this concept, namely:

</span>(1) \ \frac{1}{x} \\ \\ (2) \ \frac{2x-1}{x+1} \\ \\ (3) \ \frac{x^{2}-1}{x^{2}+1}<span>
</span>
6 0
3 years ago
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bearhunter [10]

Answer:

119 student tickets and 95 non-student tickets

Step-by-step explanation:

I did a trial-and-error solution.

I started with 107 students and 107 non-students:

(107*$7)+(107*$12) = $2033

It was too high, which tells us that there should be more who paid for the cheaper price.

I ended up with 119 and 95:

(119*$7)+(95*$12) = $1973

8 0
2 years ago
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How much is one taco shell if you have $2.99 divided by 20
hram777 [196]

Answer:

(about) $0.15 per taco shell

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3 years ago
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