At the same time of a day, a man who is 72 inches tall casts a 43.2- inch shadow and his son cast a 27-inch shadow. Use similar triangle to determine the height of the man son. state the postulate or theorem that can be used to provide the triangle are similar and then justify your answer. Help!

Answer:  as decimal  it is approximately: 0.77273 (Rounded to fifth decimal place)

~ hope this helped you out!~

Step-by-step explanation:

Answer:

The scale factor is 3.5

Answer:

8.1 inches

Step-by-step explanation:

5.4/2 = 2.7

2.7 + 5.4 = 8.1

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°

Answer:

z≥-10

Step-by-step explanation

it just is, trust.

Answer:

True

Step-by-step explanation:

it makes sense

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~Thank you~

Answer:

depending on what sample it is.

Answer: $3

Step-by-step explanation:

Given

Luis has $20

He can buy 4 tennis balls and get $8 dollar back

Money spent on balls [tex]20-8=\$12[/tex]

i.e. 4 tennis balls cost [tex]\$12[/tex]

1 tennis ball costs [tex]\dfrac{12}{4}=\$3[/tex]

Each tennis ball costs $3.

Answer:

72 yd^3

Step-by-step explanation:

Answer:

Volume of this pyramid is 72.

Answer:

B.) 40°

Step-by-step explanation:

because the sum of all the interior angles should be 180°, so 50°+90°+y=180°

y must equal 40°

Question isn't well formatted :

on a restaurant menu you can have three course meal by selecting one from each meal course they're five appetizers four main dishes and two desserts to choose from how many Possible full meals are there?

Answer:

40

Step-by-step explanation:

To solve questions of this nature, we apply combination.

nCr = n! ÷ (n - r)!r!

For the 3 course meal :

Selection procedure ;

Select 1 appetizer from 5 ; and 1 main dish from four and 1 dessert from 2

This gives :

5C1 * 4C1 * 2C1

5C1 = 5! ÷ (5-1)!1! = 5

4C1 = 4! ÷ (4-1)!1! = 4

2C1 = 2! ÷ (2-1)!1! = 2

Hence, we have

5 * 4 * 2 = 40 different meals

Answer:

40?

Step-by-step explanation:

9514 1404 393

Answer:

  35%

Step-by-step explanation:

Of those 28+52 = 80 who would recommend their game, 28 tested game A. The probability is ...

  28/80 = 0.35 = 35%

The probability that a recommending customer tested game A is 35%.

Answer:

$320

Step-by-step explanation:

An easy way to solve this problem is to undo the operations, Find the total amount of money, and then find half of the amount. Since (80) is ([tex]\frac{1}{8}[/tex]) the total amount of money, one has to multiply (80) by (8) to find the total amount of money.

(80) * (8)

= 640

Now one is asked to find (50%) of the money. It is known that (50%) is equivalent to (0.5), therefore multiply (640) by (0.5) to find how much (50%) of the money is.

(640) * (0.5)

= 320

Answer:

1.) x=-7

2.) x= -8

3.) x=13

4.) x=2

Step-by-step explanation:

ur lucky idc

1. 4x = -28

By dividing both sides of this equation by 4, we see that x = -7.

2. x - (-6) = -2

Note that x - (-6) is equal to x + 6. To solve the equation x + 6 = -2, subtract 6 from both sides to see that x = -8.

3. -x + 4 = -9

First, subtract 4 from both sides to get that -x = -13. Then, multiply both sides by -1 to see that x = 13.

4. -3x + 7 = 1

First, subtract 7 from both sides to get that -3x = -6. Then, divide both sides by -3 to see that x = 2.

Answer:

x = 6

Step-by-step explanation:

For the triangles to be similar then the ratios of corresponding sides would be equal, that is

[tex]\frac{DF}{XZ}[/tex] = [tex]\frac{DE}{XY}[/tex] , substitute values

[tex]\frac{3(x-1)}{7.5}[/tex] = [tex]\frac{10}{x-1}[/tex] ( cross- multiply )

3(x - 1)² = 75 ( divide both sides by 3 )

(x - 1)² = 25 ( take the square root of both sides )

x - 1 = ± [tex]\sqrt{25}[/tex] = ± 5 ( add 1 to both sides )

x = 1 ± 5 , then

x = 1 + 5 = 6 or x = 1 - 5 = - 4

But x > 0 then x = 6

For the triangle to be similar then x = 6

THE CORRECT ANSWER is 25 Cm³

Explanation:

Let's consider the vertical block first, having height 8cm, length 1 cm, width 2cm.

Hence the volume of that block = l.w.h = 8×2×1 = 16 cm³

Coming to the horizontal block, having height 3cm, width 3cm, & length 1 cm.

Hence the volume of that block will be = 3×3×1 = 9 cm²

The total volume of irregular figure = Volume of vertical block + horizontal block = 16+9 = 25 cm³

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Answer:

a. x=7  b. x= 4.5   c. c= 3

Step-by-step explanation:

a. 5x=35

   5x/5=35/5

     x = 7

b. 4x=18

    4x/4=18/4

     x=4.5

c. 6c-2c=12

   4c = 12

   4c/4 = 12/4

     c=3

Answer:

the interquartile is 4

Step-by-step explanation:

Answer:

range:7 inter. range: 4

Step-by-step explanation:

Answer:

45 meals.

Step-by-step explanation:

Answer:

45 meals

Explanation:

Given :

Alonzo has bought 30pounds of dog food

He feed his dog 2/3 ponds for each meal,

To Find :

How meals will the food last

Solution :

Total pounds he bought => 30

He feeds 2/3 pounds in each meals

Therefore, consumed in each meal  =>

Therefore, food will last for 45 meals

Answer:

45 Meals

Step-by-step explanation:

It's pretty simple, just divide 30 by 2/3. Doing so will get 45.

Answer:

-8x + 18

Step-by-step explanation:

simplified is -8x + 18

[tex]-8x + 18[/tex]

that is the answer

Answer:

3.2%

Step-by-step explanation:

0.032*100 = 3.2

Answer:

0.032÷100

Step-by-step explanation:

example if you are given a 100 apples and you need to give 50 people. so to get percentage of Apple's you divide 100 by 50 then multiples by 100

Answer:

B) 3

Step-by-step explanation:

The (-) represents a flip over the X-Axis.

The |X-5| represents a Horizontal shift right because it's in between the parenthesis.

The 3 represents a positive vertical shift upwards.

Answer:

x = 14

Step-by-step explanation:

if the triangles are similar then

16/24 = x/21 cross multiply expressions

336 = 24x divide both sides by 24

14 = x

Answer: its a

Step-by-step explanation: look at the bar graph you have to really look at it and be the graph

Answer:

None of the following are true. I don't know what you are supposed to answer.

Hope that this helps!

Answer:

G

Step-by-step explanation:

I did this assignment yesterday

Answer:

x = 91

y = 98

Your answer is F.

Step-by-step explanation:

Since a straight angle is 180° you have to subtract 89 from 180 and 82 from 180.

180 - 89 = 91

180 - 82 = 98

Hope this helps, and have a wonderful day! :)

Answer:

Step-by-step explanation:

slope-intercept  form:   y = mx + b

by inspection ( just looking at the graph)  we can see that the line goes thur the +2 on the y axis.    so b=2   and we can also see that the line runs up hill so a positive slope and it's going up one for ever one over. So it has a positive 1 slope.

y = 1x + 2

y = x + 2

Hi there!  

»»————-　★　————-««

I believe your answer is:  

Two units left, 7 units up.

»»————-　★　————-««  

Here’s why:

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

to left and above

Step-by-step explanation: