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3 years ago

John used AABC to write a proof of the Centroid Theorem. He began by drawing medians AK and CL,

Mathematics

1 answer:

kumpel [21]3 years ago

8 0

Answer:

Hello your question is poorly written attached below is the complete question

answer : attached below

Step-by-step explanation:

To Prove: Z is located 2/3 of the distance from each vertex of ΔABC to the midpoint of the opposite side. we will apply ; property of bisecting a line , equality theorem , transitive property and similarity theorem

Attached below is the proof

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Help me it’s urgent

Ket [755]

Answer:

$a_1 = -\dfrac{3}{4}$

Step-by-step explanation:

$a_1 \times r = a_2$

$a_1 \times r^2 = a_3$

$a_1 \times r^3 = a_4$

...

$a_1 \times r^8 = a_9$

$\dfrac{a_9}{a_4} = \dfrac{a_1 \times r^8}{a_1 \times r^3} = \dfrac{-196}{6}$

$r^5 = -32$

$r = -2$

$a_1 \times r^3 = a_4$

$a_1 \times (-2)^3 = 6$

$a_1 = \dfrac{6}{-8}$

$a_1 = -\dfrac{3}{4}$

3 0

3 years ago

If an object is launched at an angle of 28° with an initial velocity of 133 ft./s from a height of 6 feet how many seconds will

Tema [17]

Answer:

Hence after 3.98 sec i.e 4 sec Object will hit the ground .

Step-by-step explanation:

Given:

Height= 6 feet

Angle =28 degrees.

V=133 ft/sec

To Find:

Time in seconds after which it will hit the ground?

Solution:

This problem is related to projectile motion for object

First calculate the Range for object and it is given by ,

$R=v^2Sin$ (2Ф)/ $g$

Here R= range g= acceleration due to gravity =9.8 m/sec^2

1m =3.2 feet

So 9.8 m, equals to 9.8 *3.2=31.36 ft

So g=31.36 ft/sec^2. and 2Ф=2(28)=56

$R=133^2*Sin(56)/31.36$

$R=14664.84/31.36$

$R=467.62$ fts

Now using Formula for time and range as

$R=VxT$

Vx is horizontal velocity

$Vx=V*cos$ Ф

$Vx=133*cos$ (28)

$Vx=117.43$ ft/sec

So above equation becomes as ,

$467.62=117.43*T$

$T=467.62/117.43$

$T=3.98 sec$

T is approximately equals to 4 sec.

4 0

3 years ago

PLZ HELP

Alenkinab [10]

well the absolute means positive so it would be a positive 1.6

6 0

3 years ago

Read 2 more answers

Bought a new car lately? The following table presents the number of vehicles sold in a certain country by several manufacturers

ella [17]

Answer:

The Relative Frequency Table is:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

Step-by-step explanation:

To find out the relative frequency we need to use the formula:

Relative Frequency = Frequency / Sum of All Frequencies

We can find the sum of all the frequencies by adding all the sales for the year 2013.

Sum of Frequencies for 2013 = 225,650 + 194,068 + 138,085 + 164,423 + 107,526 + 101,113

Sum of Frequencies for 2013 = 930865 cars

Now we can compute the relative frequencies for each of the manufacturers as follows:

General Motors: 225650/930865 = 0.242

Ford: 194068/930865 = 0.208

Chrysler LLC: 138085/930865 = 0.148

Toyota: 164423/930865 = 0.177

Honda: 107526/930865 = 0.116

Nissan: 101113/930865 = 0.109

Relative Frequency Distribution Table for the 2013 sales:

Manufacturer Relative Frequency

General Motors 0.242

Ford 0.208

Chrysler LLC 0.148

Toyota 0.177

Honda 0.116

Nissan 0.109

3 0

3 years ago

The sum of twice a number and 31

Andreyy89

Answer:

Let the unknown number be x ;

$2(x) +31\\=2x+31$

Step-by-step explanation:

3 0

3 years ago