a flag pole that is 8 feet tall casts a shadow that is 6 ft long a nearby tree casts a shadow that is 21 ft long. How tall is the tree?

Answers

Answer 1

Answer:

The tree is 28 feet tall.

Step-by-step explanation:

It is given that:

Height of flag pole = 8 feet

Shadow of flag pole = 6 feet

Ratio of height to shadow = 8 : 6

Shadow of nearby tree = 21 feet

Height of nearby tree = x

Ratio of height to shadow = x : 21

8 : 6 :: x : 21

Product of means = Product of extremes

6x = 8*21

6x = 168

Dividing both sides by 6

[tex]\frac{6x}{6}=\frac{168}{6}\\x=28[/tex]

Therefore,

The tree is 28 feet tall.


Related Questions

50 points
fast plz help

Answers

Answer:

answer below

Step-by-step explanation:

when you double the dimension of a rectangular prism you create a very similar one with a scale factor of 2. the surface area will increase and the scale factor will be (2^2 = 4) and volume will be (2^3=8) for the cubes of the scale

Add -3 + (-3) =
Please help me

Answers

Answer:

-6

Step-by-step explanation

-3+1(-3)

-3-3

-6

Answer:

-6

Step-by-step explanation:

-3 + (-3) = -6.

Write down three integers,all less than 25, whose range is 8, and mean is 11

Answers

Answer:

6, 13 and 14

Step-by-step explanation:

The diameter of Joseph's bicycle wheel is 20 inches Which is the circumference to the nearest inch?use 3.14 for Π

Answers

Answer:

63 inches

Step-by-step explanation:

the diameter is the entire line across the circle, the things needed to find out the circumference of the circle are the radius. that means you would divide your diameter in half to get 10. after you done that, you would input that into the equation:

c=2Π10

that would get you about 62.83 or 63

A school principal is buying chairs and desks from a furniture supplier.
• The chairs cost $110 each.
• The desks cost $70 each.
• The principal wants to buy at least 100 pieces of furniture.
• The principal wants to spend no more than $9,400.
Which system of inequalities can be used to determine the possible numbers of

Answers

Answer: The answer would be C

Explanation: I am taking the test right now and that answer is the only one that would make sense. I apologize if I am wrong.

Which of the following solutions solves the system?

Answers

Answer:

i think its

Step-by-step explanation:

D

Janeen's mother is 47. She is 26 years older than Janeen. Which equation can be used to find Janeen's age j?



Group of answer choices

A. j + 26 = 47

B. 26j = 47

C. j - 26 = 47

D. 47j = 26

Answers

Answer:

C

Step-by-step explanation:

C is the answer because it would be whatever Janeens age is - 26 = 47

270 rounded to the nearest 100

Answers

Answer:  270 rounded to the nearest hundred is: 300.

Step-by-step explanation:

round the number up to the nearest hundred if the last two digits in the number are 50 or above.

Answer:

i think its 300

Step-by-step explanation:

hope it helps :)

A triangle can have at most
right angle.
04
01
OO
2

Answers

A triangle can only have one right angle. If it had more than one, it would no longer be considered a triangle... It wouldn't have the correct amount of sides and it would be strangely shaped.

The answer would be number 1.

Have a great day/night!

which table best classifies the following numbers as rational and irrational?
-4/5, √2, 2.5,0.4,√16

Answers

Answer:

√2 is the only irrational number here. Others are rational

Step-by-step explanation:

Like terms are terms with the same
А.
constant.
B
variables and different exponents.
С
variable and exponent.
D
multiple.

Answers

Answer:

like terms have the same variables and powers. hope this helps

19.
(01.04 MC)

What is four hundred sixty-three and forty-nine hundredths written in standard form? 463.49
643.49
4,063.49
4,634.90

Answers

463.49 is the answer

Answer:

463.49

Step-by-step explanation:

400: four hundred

60: sixty

3: three

.49: forty nine hundredths

400 + 60 + 3 + .49 = 463.49

Please help. Find the volume of the composite shape

Answers

Answer:

volume of entire shape = 80 + 32 = 112 cubic inches

Step-by-step explanation:

area of rectangle = 80 in³

area of square pyramid = 1/3 · b² · h       (b = base)

A = 1/3 · 4² · 6  =  16 · 2  = 32 in³

Find the Area of the figure below, composed of a parallelogram and two semicircles. Round to the nearest tenths place.


Please help
See the picture
Test


Please i need



Answers

Answer:

100.3 units²

Step-by-step explanation:

Area of the figure = area of two semicircles + area of a parallelogram

= 2(½*πr²) + b*h

Where,

Radius (r) = ½ of 8 = 4

Base (b) = 10

Height (h) = 5

Plug in the values

Area of figure = 2(½*π*4²) + 10*5

= 16π + 50

Area = 100.265482

Area of figure = 100.3 units² (nearest tenth)

The 150 students in the band will attend an awards assembly. A random survey of 30 was done to see what type of pizza they would order. 10 Pepperoni 15 Cheese • 5 Hamburger Based on the survey results, which of these is the best prediction of the types of pizza wanted by the 150 students? A. There are 40 students who want pepperoni B. There are 100 students who want either pepperoni or hamburger C. There are 10 more students who will want cheese than hamburger D. There are 5 more students would want pepperoni than hamburger (PLEASE ANSWER ILL GIVE BRAINLIEST)​

Answers

Answer:

None are correct.

Step-by-step explanation:

10/30 wanted pepperoni, so 1/3 of them wanted pepperoni.

15/30 wanted cheese, so 1/2 wanted cheese.

5/30 wanted hamburgers, so 1/6 wanted hamburgers.

You can use this information to estimate the number of the 150 students who wanted each.

1/3 of 150 = an estimated 50 wants pepperoni

1/2 of 150 = an estimated 75 wants cheese

1/6 of 150 = an estimated 25 wants hamburgers

Now you can use this to see which one is true.

A. There are 40 students who want pepperoni

not true, there are 50

B. There are 100 students who want either pepperoni or hamburger

50(pepperoni) + 25(hamburger) = 75, so this is not true

C. There are 10 more students who will want cheese than hamburger

75(cheese) - 25 (hamburger) = 50, so this is not true.

D. There are 5 more students would want pepperoni than hamburger

50 (pepperoni) - 25 (hamburger) = 25, so this is not true

None of these answers are correct

need help asap please!!

Answers

Answer:

B = 38

Step-by-step explanation:

b=3b-76

-3b  -3b

-2b=-76

b=38

An assistant receives a 5% raise, bringing the salary to $46,377. What was the salary before the raise?

Answers

Answer:

the assistants salary before was $44,6653

You answer is going to be 44,6653

Simplify the following 2(x - 3) - 4(3x+1)

Answers

Answer: -10x - 10

Step-by-step explanation:

1. Distribute --> 2x - 6 - 12x-4

2. Simplify --> -10x - 10

Answer:

-10x - 10

Step-by-step explanation:

Find the mode of the following number of countries randomly selected travelers visited in the past two years. 13,13,15,7,8,4,4,7,13

Answers

Answer:

The mode of the following number of countries randomly selected travelers visited in the past two years is 13.

Step-by-step explanation:

The mode of a data-set is the value that appears the most commonly, the most frequently.

In this data-set:

13 appears 3 times

7 and 4 twice

The others once

So 13 is the mode.

At Ole's Waffle Shop there are 81 dirty coffee mugs and 9 clean coffee mugs. How many total mugs are there?

answers

81
9
90

Answers

90. 9. 81 hope this helps

On a map 1 inch = 50 miles. If two cities are 3 1/2 inches apart, how many miles are they apart?
The answer is 175 miles but i dont know how to explain that i got that answer so please helppp

Answers

Answer:

3 inches is 150 and 1/2 is 25

Step-by-step explanation:

Convert the following linear equation from point-slope form
to slope-intercept form.
y- 3= 1/2(x+ 8)

Answers

Answer:

y=1/2x+7

Step-by-step explanation:

y-3= 1/2(x+ 8)

y-3=1/2x+4

+3 .        +3

y=1/2x+7

HELP PLS MATH WILL GIVE YOU BRANLYY

Answers

D and B are both the answers

Answer: A and E

Step-by-step explanation:

Some one explain this? Plz

Answers

Answer:

your answer is D because the unit rate is 23.50 is what it increases every time

Answer:

D

Step-by-step explanation:

Just multiply 23.50 by each one and you're done!

Please help (hope the pictures crop right)

Answers

Answer:

I think it's B (A and C)

Step-by-step explanation:

Complete the explanation to model a real world situation that could be modeled by the equation 9m×3m=1,728

The ratio of peanuts to raisins in a snack mix is 9 to ____. If there are ____ peanuts and raisins in the mix, how many raisins and how many peanuts are there?​

Answers

Answer:

.

Step-by-step explanation:

HELP ASAP!!! FAST PLEASE

Answers

Answer:

(-4,-1)

Step-by-step explanation:

-3x+10y=2

-3x+3y=9

-3x=2-10y

-3x=9-3y

2-10y=9-3y

2-9=10y-3y

7y=-7

y=-1

-3x+3(-1)=9

-3x-3=9

-3x=12

x=-4

Answer:

X=4, y=-1

Step-by-step explanation:

-3x+10y=2 multiple by 3

-3x+3y=9 multiply by 10

9x+30y=6

30x+30y=90

Subtract equation 1 from 2

30x-9x+30y-30y=90-6

21x+0=84

21x=84

Divide both side by 21

X=4

Substitute 4 for x in equation 1

3x+10y=2

3(4)+10y=2

12+10y=2

10y=2-12

10y=-10

Divide both side by 10

Y=-1

How do you find the area of a triangle ?

Answers

Answer:

to find the Area of a Triangle, you have to multiply the base times the height of the triangle to find the Area.

Step-by-step explanation:

For example..

If the Base ( bottom part of the triangle) was 10 and the height ( the vertical line of the triangle) was 5, you would multiply them together to get 50. So 5o would be the area of the Triangle.

Hope this helps and have a Great day!

Answer:

1/2 x b x h

Step-by-step explanation:

b= base

h= hieght

1.  Multiply your base by 1/2

2. Then multiply the sum of that by your hieght

Ex: A trianle with a base of 18 and hieght of 4

1. 1/2 x 18 = 9

2. 9 x 4 = 36

Two dice are tossed and the magnitude of the difference in the number of dots facing up in the two dice is noted. (a) What is the sample space of the event of tossing of the two dice

Answers

Answer:

Sample space S = {0,1,2,3,4,5}

Step-by-step explanation:

We all know that when a dice is tossed, the minimum value that can be obtained is 1 and the maximum value that can be obtained is 6.

Now, when two dice are tossed, the possible cases are:

[tex]= \left\{\begin{array}{cccccc}(1,1)&(1,2)&(1,3) &(1,4)&(1,5)&(1,6)\\(2,1)&(2,2)&(2,3) &(2,4)&(2,5)&(2,6)\\(3,1)&(3,2)&(3,3) &(3,4)&(3,5)&(3,6)\\(4,1)&(4,2)&(4,3) &(4,4)&(4,5)&(4,6)\\(5,1)&(5,2)&(5,3) &(5,4)&(5,5)&(5,6)\\(6,1)&(6,2)&(6,3) &(6,4)&(6,5)&(6,6)\end{array}\right\}[/tex]

However, the magnitude of the difference in no. of dots showing up in the two dice is:

[tex]= = \left\{\begin{array}{cccccc}(1,1)=0&(1,2)=1&(1,3)=2 &(1,4)=3&(1,5)=4&(1,6)=5\\(2,1)=1&(2,2)=0&(2,3)=1 &(2,4)=2&(2,5)=3&(2,6)=4\\(3,1)=2&(3,2)=1&(3,3)=0 &(3,4)=1&(3,5)=2&(3,6)=3\\(4,1)=3&(4,2)=2&(4,3)=1 &(4,4)=0&(4,5)=1&(4,6)=2\\(5,1)=4&(5,2)=3&(5,3)=2 &(5,4)=1&(5,5)=0&(5,6)=1\\(6,1)=5&(6,2)=4&(6,3)=3 &(6,4)=2&(6,5)=4&(6,6)=0\end{array}\right\}[/tex]

Thus, the sample space Sample space-related when two dice are tossed & the magnitude is:

S = {0,1,2,3,4,5,}

The scatter plot shows the study time and test scores for the students in Mrs. Johnson's English Literature class.
Study Time and Test Scores
100
90
Scores
80
70
60
0
30
60
90
120
Study Time (min)
Which of the following is an appropriate score for a student who studies for 1.5 hours?
a. 78
b. 94
81
d 74

Answers

The appropriate score for a student who studies for 1.5 hours according to the scatterplot is 94.

What is the scatterplot?

A scatterplot is a graph of two variables that shows the relationship that exists between the two variables.  In the given scatterplot, the test scores is on the x-axis while the study time is on the y-axis.

When 1.5 hours (90 minutes) on the x axis is traced to the dot on the y-axis, it can be seen that the score is 94.

To learn more about scatterplots, please check: https://brainly.com/question/25280625

#SPJ2

Answer:

B. 94

Step-by-step explanation:

edge 2023

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