What is the geometric mean of 4√2 /19 and 6√2 / 19

Answers

Answer 1
Answer:

Answer:

\large\boxed{(4\sqrt3)/(19)}

Step-by-step explanation:

\text{Geometric mean of}\ x\ \text{and}\ y:\ √(xy)\n\n\text{We have}\ x=(4\sqrt2)/(19)\ \text{and}\ y=(6\sqrt2)/(19).\n\n\text{Substitute:}\n\n\sqrt{\left((4\sqrt2)/(19)\right)\left((6\sqrt2)/(19)\right)}=\sqrt{(24(\sqrt2)^2)/(19^2)}=\sqrt{((24)(2))/(19^2)}=(√(48))/(√(19^2))=(√((16)(3)))/(19)\n\n=(√(16)\cdot\sqrt3)/(19)=(4\sqrt3)/(19)


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The staff of the Westport public library signed up 6 volunteers in the last 21 days. If the library staff continues to sign up volunteers at this rate, how many new volunteers will they get in the next 7-day week?

Answers

both 6 and 21 are divisive by 3 so each 7 day week the library hires 2 people.
answer is 2

What property is 2+0 = 2

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It is the Identity Property of Addition

The identity property of addition is that the sum of any number and its identity value gives the same number as the result. Also, 0 is the identity element.


Identity property of addition

I'm feeling happy, let me share that! 5+6/8*6-9+3-8+5*0=Free points!

Answers

Answer:

-4.5

Step-by-step explanation:

Hope this helps :))

I think the answer is -4.8, but that might be wrong and was quick math lol

1.explain how you could use what you have learned to calculate the height of the leaning tower of pisa on a sunny day. 2.research other real-world situations where triangulation is used. post your findings for your fellow students to see. what questions do you still have about the unit?

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Answer:

1. The slant height of the tower of Pisa is √(H_v^2 + L_s^2)

Where:

H_v = Vertical height of the tower of Pisa (Required)

L_s = Length of from the base of the tower to the point where the top is directly up above

2. Calculation of time using the length our shadow

Step-by-step explanation:

1) As the sun is rising, we measure the our shadow and the measure the shadow cast by the leaning side of the tower of Pisa, then we use similar triangles to calculate the vertical height of the tower of Pisa as follows;

(Our \, Height  \, (known))/(Length \, of \, our \, shadow  \, (known)) = ( Vertical \, height  \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v)/(Length \, of \, the \, shadow  \, cast \, by \, the \, slant \, side \, of \, the \, tower \, of \,   Pisa, \ L_V)

Vertical \, height  \, of \, the \, tower \, of \, Pisa \, (Required) \, H_v} = (Our \, Height  \, (known) * L_v)/(Length \, of \, our \, shadow  \, (known))

Then, at exactly noon, or when the Sun is directly overhead the tower casting a shadow, we measure the length of the covering from the the base to end of the shadow where the tip is directly up ahead (which can be done by measuring the base of the tower to the point where the top of the tower is directly up above), we call this length L_s

Then, the slant height of the tower of Pisa = √(H_v^2 + L_s^2)

2. Other real world situation is the calculation of the time of the day using our shadow and triangulation.

Subtract. Write your answer in simplest form.

3 11/12 - 1 4/12 = ?

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2 7/12 is the answer

6Isabella paid a $50 initiation fee to the
gym. Each month she pays $25. Write
a linear equation that shows how
much Isabella spent, y, at the gym in x
months.
If Isabella keeps her membership
for 6 months, how much does she
end up paying the gym?
What is the equation

Answers

Answer:

$200

y=25x+50

Step-by-step explanation:

y=25(6)+50

y=150+50

y=200

Answer:

y = 25x +50

She would pay y = 25(6) + 50 = y = 150 + 50 or $200 in total, including the initiation fee.