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2 years ago

The range of the following data set is 9,5,14,24,12

Mathematics

1 answer:

dimaraw [331]2 years ago

4 0

Range would be 19 (24-5)

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Aye SIMPS!!!!!!!! Who needs sum advice?!?!?!?

4vir4ik [10]

Answer:

i am good so nah but free pionts tanks

Step-by-step explanation:

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2 years ago

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A 10-foot ladder is leaning against a vertical wall. If the bottom of the ladder is being pulled away from the wall at the rate

Alex777 [14]

Answer:

The area is changing at 15.75 square feet per second.

Step-by-step explanation:

The triangle between the wall, the ground, and the ladder has the following dimensions:

H: is the length of the ladder (hypotenuse) = 10 ft

B: is the distance between the wall and the ladder (base) = 6 ft

L: the length of the wall (height of the triangle) =?

dB/dt = is the variation of the base of the triangle = 9 ft/s

First, we need to find the other side of the triangle:

$H^{2} = B^{2} + L^{2}$

$L = \sqrt{H^{2} - B^{2}} = \sqrt{(10)^{2} - B^{2}} = \sqrt{100 - B^{2}}$

Now, the area (A) of the triangle is:

$A = \frac{BL}{2}$

Hence, the rate of change of the area is given by:

$\frac{dA}{dt} = \frac{1}{2}[L*\frac{dB}{dt} + B\frac{dL}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} + B\frac{d(\sqrt{100 - B^{2}})}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - B^{2}}*\frac{dB}{dt} - \frac{B^{2}}{(\sqrt{100 - B^{2}})}*\frac{dB}{dt}]$

$\frac{dA}{dt} = \frac{1}{2}[\sqrt{100 - 6^{2}}*9 - \frac{6^{2}}{\sqrt{100 - 6^{2}}}*9]$

$\frac{dA}{dt} = 15.75 ft^{2}/s$

Therefore, the area is changing at 15.75 square feet per second.

I hope it helps you!

5 0

3 years ago

A store window shows 2 red caps and 8 greens caps. What percentage of the caps are red?

Alecsey [184]

Answer:

20%

Step-by-step explanation:

total caps 2+8=10

% of red caps= 2/10*100=20%

4 0

3 years ago

Read 2 more answers

What is most likely true about the melting times of these two types of chocolates

wel

Answer:

"After 64 seconds, ABOUT HALF of the brands of milk chocolate are LIKELY to melt and NONE of the brands of Dark Chocolate are likely to melt"

Step-by-step explanation:

The right answer is

"After 64 seconds, ABOUT HALF of the brands of milk chocolate are LIKELY to melt and NONE of the brands of Dark Chocolate are likely to melt"

We can easily check this solution by seeing the time it took for each chocolate to melt in the attached picture.

After 64 seconds have passed, half of the brands of milk chocolate had already melted, but the dark chocolate time starts after 200s

7 0

3 years ago

Solve for x (9x-16°)=3x+11°

meriva

X = 9/2 have a nice day

6 0

3 years ago