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
allsm [11]
3 years ago
8

A tree casts an 8-foot shadow on the ground. The length from the tip of the shadow to the top of the tree is 17 feet. What is th

e height of the tree?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
8 0

Answer:

Height of tree = 15 ft

Step-by-step explanation:

Given:

Length of shadow (Base) = 8 ft

Length from the tip to top of the tree (Hypotenues) = 17 ft

Find:

Height of tree = ?

Computation:

Using Pythagoras theorem:

Height\ of\ tree = \sqrt{Hypotenues^2 - base^2} \\\\Height\ of\ tree = \sqrt{17^2 - 8^2} \\\\Height\ of\ tree = \sqrt{289-64}\\\\Height\ of\ tree = \sqrt{225}\\\\ Height\ of\ tree =15

Height of tree = 15 ft

You might be interested in
Which deal is better to buy 5.90 buy 3 books get one free book or 6 for 24.96
maria [59]

Answer:

6 for $24.96

Step-by-step explanation:

$5.90 * 3 = $17.70

Therefore 4 books would be $17.70 because you get one for free

$24.96/6 = $4.16

Therefore if you got 4 books it would be $16.64

So, buying 6 books would be cheaper.

6 0
2 years ago
a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total numbe
Allisa [31]
Distance=rate times time
rate=xmiles per hour
time=y hours

total distance=distance1+distance2
distance1=45mph times 2=90mi
distance2=30mph times 3=90mi
total distance=90mi+90mi=180mi

total is 180mi
7 0
3 years ago
Read 2 more answers
Tell whether the sequence is arithmetic if it is identify the common difference -9,-17,-26,-33
aleksklad [387]
No it is not, there is no common difference. <span />
8 0
3 years ago
Read 2 more answers
A) Find a particular solution to y" + 2y = e^3 + x^3. b) Find the general solution.
Reptile [31]

Answer:

a.P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x}

Step-by-step explanation:

We are given that a linear differential equation

y''+2y=e^{3x}+x^3

We have to find the particular solution

P.I=\frac{e^{3x}}{D^2+2}+\frac{x^3}{D^2+2}

P.I=\frac{e^{3x}}{3^2+2}+\frac{1}{2} x^3(1+\frac{D^2}{2})^{-2}

P.I=\frac{e^{3x}}{11}+\frac{1-2\frac{D^2}{4}+3\frac{D^4}{16}+...}{2}x^3

P.I=\frac{e^{3x}}{11}+\frac{x^3-2\frac{\cdot3\cdot 2x}{4}}{2}+0} (higher order terms can be neglected

P.I=\frac{e^{3x}}{11}+\frac{1}{2}(x^3-3x)

b.Characteristics equation

D^2+2=0

D=\pm\sqrt2 i

C.F=C_1cos \sqrt2x+C_2 sin\sqrt2 x

G.S=C.F+P.I

G.S=C_1Cos \sqrt2 x+C_2 Sin\sqrt2 x+\frac{1}{11}e^{3x}+\frac{1}{2}(x^3-3x)

3 0
3 years ago
List the numbers which are factors of both 60 and 96
Elden [556K]
The answer is 2. I hope this helped.
6 0
3 years ago
Other questions:
  • What is the quotient when x^3-5x^2+2x+5 is divided by x-2?
    13·1 answer
  • If 9 is subtracted by a number,and the result is multiplied by 19, the product is 171. Find the number
    13·1 answer
  • A recipe calls for 1.5 sticks of butter for every 24 cookies you bake. How many sticks of butter will you need for 72 cookies
    10·1 answer
  • Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown.
    11·2 answers
  • I dot know it please help
    11·2 answers
  • A basketball player, who hits 70% of her free throws, shoots ten free throws in a tournament. assume that whether or not she hit
    12·1 answer
  • Factor this expression completely, then place the factors in the proper location on the grid. A3y + 1
    15·1 answer
  • Dilation with a scale of 0.75.
    15·2 answers
  • In order for the parallelogram to be a rhombus, x=?
    14·1 answer
  • What is the slope of the line RS that contains the points R(-2, -3), S(3, -5)<br> HELP ASAP
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!