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DanielleElmas
1 month ago
6

A 3 inch radius circle is drawn inside a 7 inch radius circle. If you throw a dart at these circles, what is the probability you

land inside the bigger circle but outside smaller circle?
Mathematics
1 answer:
Svet_ta [12.7K]1 month ago
3 0
Step-by-step explanation: First, calculate the areas of the inner and larger circles using the formula for a circle's area, A = πr², where r is the radius. For the inner circle with a diameter of 148.4 cm, its radius is 3 inches, yielding an area of 3.14 × 3² = 28.26 inches². For the outer circle, with a radius of 7 inches, the area calculates to 3.14 × 7² = 153.86 inches². The area between the two circles therefore is 153.86 - 28.26 = 125.6 inches². Finally, the probability of landing in the larger circle but outside the smaller circle is determined by the formula for probability, yielding 125.6/153.86 = 0.82.
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Simplify the given expression, using only positive exponents. Then complete the statements that follow. [ (x2y3)−1 (x−2y2z)2 ] 2
AnnZ [12381]

Answer: y²z⁴ / x¹²

  • The exponent for x is 12

  • The exponent for y is 2

  • The exponent for z is 4

Explanation:

1) The expression to simplify:

((x^2y^3)^{-1}(x^{-2}y^2z)^2)^2

2) Rule: power of a power:

(x^{-4}y^{-6})(x^{-8}y^8z^4)

3) Rule: product of powers with identical bases

x^{(-2-8)}y^{(-6+8)}z^4

4) Add up the exponents

x^{-12}y^2z^4

5) Transfer the negative exponent to the denominator:

\frac{y^2z^4}{x^{12}}

The exponent attached to x is 12, for y it is 2, and for z it is 4.

4 0
2 months ago
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Will mark brainly if u show work !
zzz [12365]

Response:

C

Detailed explanation:

The factor of 6 originates from the 24 (6*4=24)

The factor of 3 comes from the 12 (3*4=12)

The factor of 4 is common

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2 months ago
Patricia is ordering t-shirts for her business. Company A charges $10.50 for each t-shirt and a one-time design fee of $45. Comp
Leona [12618]

Response:

I believe the answer might be either the second or the fourth option.

Apologies if this isn't accurate.

Detailed explanation:

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2 months ago
At the Zamenhof Language School, at least 70% of the students take English each year, at least 40% take German each year, and be
PIT_PIT [12445]

Answer:

(C) 10% to 70%(

Step-by-step explanation:

Given that at least 40% of the students are learning German, the upper limit of those who might be enrolled in English but not in German is 60%. However, since a minimum of 70% study English, it leads to the conclusion that at least 10% of students must be taking both German and English.

If we consider that at least 30% of students are learning Italian, and assuming that no student is studying all three languages simultaneously, then there is a maximum of 70% of students who could potentially be registered in both English and German.

This means the possible percentage for students enrolled in both English and German ranges from 10% to 70%

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3 months ago
We can calculate EE, the amount of euros that has the same value as DD U.S. dollars, using the equation E=\dfrac{17}{20}DE=
Leona [12618]

Response:

The equation provided is e=\frac{17}{20}d, where e represents euros and d denotes the equivalent value in U.S. Dollars.


We aim to determine the number of euros for 1 U.S. Dollar.


Substituting d=1 in the above equation


results in


e=\frac{17}{20}(1)


Simplifying gives us


e=\frac{17}{20}


By dividing 17 by 20, we get 0.85.


Thus, 0.85 euros are equivalent to 1 U.S. Dollar.


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Step-by-step explanation:


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