Answer: The answer to your question is 6
Step-by-step explanation:
To solve this problem we will use proportions. We will compare the largest right triangle and the medium size triangle.
Medium triangle Large triangle
hypotenuse y 9 + 3
adjacent size 9 y
- Write the proportions
y/9 = (9 + 3)/y
-Solve for y
y² = 9(12)
y² = 108
y = 
-Find the prime factors of 108
108 2
54 2
27 3
9 3
3 3
1
then, 108 = 2² 3³
-Expressthe root as fractional exponents
2²/² 3²/² 3¹/²
-Simplification
2(3)(3)¹/²
-Result
6
Answer:
Correct options are A,B,D:
- The sample needs to be random, but we don't know if it is.
- The actual count of community residents who received the concert brochure by mail is too small.
- n(1 minus p‐hat) is not greater than 10.
Step-by-step explanation:
Concert marketing: The college’s performing arts center wanted to investigate why ticket sales for the upcoming season significantly decreased from last year’s sales. The marketing staff collected data from a survey of community residents. Out of the 110 people surveyed, only 7 received the concert brochure in the mail.
M = mass
p = density
v = volume
Yes, to find m it would be m = pv.
To find v that would be m/p.
<h3>
Answer: C) x = 13</h3>
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Work Shown:
We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.
Use the pythagorean theorem to find x.
a^2 + b^2 = c^2
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x^2 = 169
x = sqrt(169) .... apply the square root to both sides
x = 13
