√72 can be written as 3√8 , √128 as 4√8.. Here, we have to solve √72 -√8 +√128 .. i.e, 3√8 - √8 + 4√8.. which is equal to 6√8 or can be written as 12√2 //

4 0

3 years ago

The mayor of a town believes that over 47G% of the residents favor construction of an adjoining community. Is there sufficient e

photoshop1234 [79]

Answer:

There is sufficient evidence at the 0.05 level

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

Step-by-step explanation:

percentage favoring construction of adjoining community = 47%

level = 0.05

To determine if the 0.05 confidence level is enough to support the major's claim we have to state the Null and alternative hypothesis

Null hypothesis ; H0 : p = 0.47

Alternative hypothesis : H1 : p ≠ 0.47

5 0

3 years ago

ΔABC has three sides with these lengths: AB = 9, BC = 40, and CA = 41. What is the value of cos C?

kotykmax [81]

Answer:

$cos(C) =\frac{40}{41}\\\\cos(C)=0.976$

Step-by-step explanation:

To find the $cos (C)$ we must use the cosine theorem.

The cosine theorem says that:

$c^2 = a^2 +b^2 -2abcos(C)$

In this case:

$c=AB = 9$

$b=CA = 41$

$a=BC = 40$

$9^2 = 40^2 +41^2 -2(40)*(41)cos(C)$

$9^2- 40^2- 41^2 =-2(40)*(41)cos(C)$

$cos(C) = -\frac{9^2- 40^2- 41^2}{2(40)*(41)}$

$cos(C) =\frac{40}{41}\\\\cos(C)=0.976$

7 0

3 years ago

Jessica had m beads. She used 18 of them to make a necklace for her mom. Then she used the rest to make k bracelets for her frie

Y_Kistochka [10]

The expression to represent this would be (m-18)/k.

We first subtract the 18 beads she used in her mother's bracelet from her beginning number, m. We then divide our result by k, the number of bracelets she made for her friends.

3 0

4 years ago