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liraira [26]
3 years ago
12

A ladder is sliding down a wall so that the distance between the top of the ladder and the floor is decreasing at a rate of 9 fe

et per second. How fast is the base of the ladder receding from the wall?
Mathematics
1 answer:
bixtya [17]3 years ago
4 0
Use Pythagorean theorm

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Which equation is equivalent to sqrt x +11=15
Bas_tet [7]

Answer:

x=16

Step-by-step explanation:

We are given that

\sqrtx+11=15

we have to solve this equation for x

in order to do that we need to isolate x first

hence

subtracting 11 from both sides we get

\sqrtx+11-11=15-11

\sqrtx=4

Now we square on both sides we get

(\sqrtx)^2=4^2

x=4 \times 4

x=16

hence x =16

3 0
2 years ago
In your own words what is the definition of reflection (in geometry)
sergeinik [125]

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

7 0
2 years ago
A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21
sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

7 0
3 years ago
What is the perimeter of the figure?
Zarrin [17]

Answer:

21.2 yd

Step-by-step explanation:

8 + 6 + 7.2 = 14 + 7.2 = 21.2

4 0
2 years ago
Read 2 more answers
Which measure of central tendency best describes the data?
Vlada [557]
Either mean or median, they are both 14 in this data set.
5 0
3 years ago
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