1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sdas [7]
3 years ago
12

A tree casts a 25 foot shadow. At the same time of day, a 6 foot man standing near the tree casts a 9 foot shadow. What is the a

pproximate height of the tree to the nearest foot?
Mathematics
2 answers:
AysviL [449]3 years ago
7 0
So, the man is 6 feet, but casts a 9 foot shadow. So, you divide 25 by 9, and then you would find it goes into it 2.8 times, so round and get 3 if you want,or keep it. And then 12, or round to 13.
storchak [24]3 years ago
3 0
Could you solve this using similar triangles?

6/x = 9/25
cross multiply
9x = 150

x = 16.66

Assuming it can be done this way, the tree should be about 17 feet tall
You might be interested in
A (0, 2) and B (6,6) are points on the straight line ABCD.
elena-14-01-66 [18.8K]

Answer:

(18, 14)

Step-by-step explanation:

We know that C and D lie on the line AB and BC = CD = AB. Then we need to use the distance formula and equation of the line AB to find the other two coordinates.

The distance formula states that the distance between two points (x_1,y_1) and (x_2,y_2), the distance is denoted by: \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}. Let's find the distance between A and B:

d = \sqrt{(6-0)^2+(6-2)^2}=\sqrt{6^2+4^2} =\sqrt{36+16} =\sqrt{52} =2\sqrt{13}

Now say the coordinates of D are (a, b). Then the distance between D and B will be twice of 2√13, which is 4√13:

4√13 = \sqrt{(6-a)^2+(6-b)^2}

Square both sides:

208 = (6 - a)² + (6 - b)²

Let's also find the equation of the line AB. The y-intercept we know is 2, so in y = mx + b, b = 2. The slope is (6 - 2) / (6 - 0) = 4/6 = 2/3. So the equation of the line is: y = (2/3)x + 2. Since (a, b) lines on this line, we can put in a for x and b for y: b = (2/3)a + 2. Substitute this expression in for b in the previous equation:

208 = (6 - a)² + (6 - b)²

208 = (6 - a)² + (6 - (2/3a + 2))² = (6 - a)² + (-2/3a + 4)²

208 = a² - 12a + 36 + 4/9a² - 16/3a + 16 = 13/9a² - 52/3a + 52

0 = 13/9a² - 52/3a - 156

13a² - 156a - 1404 = 0

a² - 12a - 108 = 0

(a + 6)(a - 18) = 0

a = -6 or a = 18

We know a can't be negative so a = 18. Plug this back in to find b:

b = 2/3a + 2 = (2/3) * 18 + 2 = 12 + 2 = 14

So point D has coordinates (18, 14).

8 0
3 years ago
Read 2 more answers
Help plz i need a anwser
Blababa [14]

Answer:

Your answer would be B: $25.20

24 x 5% is 1.2

$24 + 1.2 is 25.2

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
About what percent of electric blowers are less than 7.5 pounds? (You do not have to type the percent sign)
Margarita [4]

Answer:75% ; 50%

Step-by-step explanation:

5 0
2 years ago
Which is the answer for -1/3y + 4 = 3
N76 [4]

2/1

Step-by-step explanation:

_1/3y=_1

y=_1+3/1

y=2/1

4 0
3 years ago
Rob invests $3,715 in a retirement account
lions [1.4K]

Answer:

$14,048.62

Step-by-step explanation:

The interest is 9% per year and compounded 3 times a year, so each compound will be 9%/3 = 3%

The time elapsed will be 15 years and the interest compounded 3 times a year, so the number of compounds happens will be = 15 years* 3 compounds/year= 45x compound.

So basically the money will get 3% interest 45 times. To put into the compounding interest formula, the final account balance will be:

A = P (1 + [ r / n ]) ^ nt

A= amount of the balance after a period of t

P= principal, the initial money deposit( $3,715)

r= rate(9%)

n= number of compound per unit of time(3 times per year)

t= time(15 years)

The calculation will be:

A = P (1 + [ r / n ]) ^ nt

A = $3,715(\frac{1+0.09}{3} )^{3*15}

A = $14,048.62

4 0
3 years ago
Other questions:
  • Line W passes through the following points on the coordinate grid: (0,-9) and (4,-1).What is the slope of line W?
    7·1 answer
  • Need help on #15 don't want to fail
    11·1 answer
  • (7 x 18 + 45) : 3 x 2 what is it please?​
    13·1 answer
  • The equation of motion for a weight suspended from a particular spring is given by p(t)=2sint3+5cost3p(t)=2sin⁡t3+5cos⁡t3, where
    10·1 answer
  • Question part points submissions used how many tangent lines to the curve y = x/(x + 1) pass through the point (1, 2)
    7·1 answer
  • Radhika borrowed Rs.12000 from her friends. Out of which Rs.4000 were borrowed at 18% and the remaining at 15% rate of interest
    15·1 answer
  • Suppose you toss a fair coin 10 times, let X denote the number of heads. (a) What is the probability that X=5? (b) What is the p
    11·1 answer
  • An inequality in one-variable is shown below.
    5·1 answer
  • I am stuck and getting a head ache please help
    11·1 answer
  • It is not the right answer what do i do if it is not right and i want an A+
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!