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3 years ago

What is the median of this set of data? 71, 37, 22, 81, 65, 54, 52, 41, 48, 71

Mathematics

1 answer:

laiz [17]3 years ago

6 0

Answer:

Step-by-step explanation:

FIrst, put the numbers in order from least to greatest:

22, 37, 41, 48, 52, 54, 65, 71,71, 81

When you croos of 4 numbers from the left and 4 from the right. 52 and 54 are the 2 numbers in the middle.

52+54=106

106/2=53

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(3x+4)^2=14 what are the solutions?

kherson [118]

$\bf (3x+4)^2=14\implies \sqrt{(3x+4)^2}=\pm\sqrt{14}\implies 3x+4=\pm\sqrt{14}
\\\\\\
3x=\pm \sqrt{14}-4\implies x=\cfrac{\pm \sqrt{14}-4}{3}\implies x=
\begin{cases}
\cfrac{\sqrt{14}-4}{3}\\\\
\cfrac{- \sqrt{14}-4}{3}
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3 years ago

Lines a and b are parallel.

Wittaler [7]

m and 125º are supplementary angles:

m + 125º = 180º

m = 180º – 125º

m = 55º <——— this is the answer.

I hope this helps. =)

6 0

3 years ago

Read 2 more answers

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

Nostrana [21]

Answer:

Part a) The volume of the original pyramid is $15\ cm^{3}$

Part b) The volume of the pyramid increases by $6\ cm^{3}$

Step-by-step explanation:

The complete question is

Part 1) The volume of the pyramid shown in the figure is 9,15,21, or 63 cubic centimeters?. Part 2) If the slant height of the pyramid increases by 4 centimeters and its height increases by 2 centimeters, the volume of the pyramid increases by 6,9,12 or 21 cubic centimeters?

we know that

The volume of the pyramid is equal to

$V=\frac{1}{3}Bh$

where

B is the area of the base

h is the height of pyramid

see the attached figure to better understand the problem

Step 1

Find the volume of the original pyramid

the area of the base B is equal to

$B=3^{2}=9\ cm^{2}\\h=5\ cm$

substitute

$V=\frac{1}{3}(9)(5)=15\ cm^{3}$

Step 2

Find the volume of the new pyramid

$B=9\ cm^{2}$ -------> the area of the base is the same

$h=5+2=7\ cm$ ------> the height increase by

substitute

$V=\frac{1}{3}(9)(7)=21\ cm^{3}$

Subtract the original volume from the new volume

$21\ cm^{3}-15\ cm^{3}=6\ cm^{3}$

5 0

3 years ago

A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in

Mama L [17]

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km Cross Multiply

Solution

1.6*x = 1 * 40000 Divide by 1.6

x = 40000/1.6

x = 25000 miles

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = 1041.66 miles per hour

Answer: 1041.66 is what is to be entered as your answer

7 0

2 years ago

Which one has to be congruent?

AURORKA [14]

<B = <E has to be congruent

8 0

3 years ago