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
harkovskaia [24]
3 years ago
5

A palm tree casts a shadow that is 28 feet long. A 6-foot sign casts a shadow 8 feet long.

Mathematics
1 answer:
s2008m [1.1K]3 years ago
3 0

Answer: The height of the palm tree is 21 feet.

Step-by-step explanation:

We can use a ratio to solve this:

Actual height to shadow for both objects. The fraction equivalents must be equal.

6/8 = x/28 . Cross multiply

6(28) = 8x

168 = 8x   Divide both sides by 8  (8's "cancel" on the right)

168/8 =8x/8

21 = x . This gives us the tree's height as 21 feet.

<em>Another way to solve this is to use the ratios, but simplify the first fraction</em>

<em>6/8 = 3/4</em>

<em>Then multiply the length of the shadow by 3/4</em>

<em>3/4 × 28 = height</em>

<em>28÷4 = 7    7 × 3 = 21</em>

<em>21  feet= the height of the palm tree.</em>

You might be interested in
What property is 3(x+2)=2x-10
Mandarinka [93]
The answer is x= -16
7 0
3 years ago
Can you work out G and H for me please. preferably telling me how you did it aswell
Veronika [31]
Abd is a right angled triangle so by pythagoras we know
{g}^{2}  =  {11}^{2}  +  {13}^{2}  \\  {g}^{2}  = 290 \\ g =  \sqrt{290}  \: or \: g = 17.03cm
and to calculate h we need to use the sine rule
\frac{h}{ \sin(22) }  =  \frac{g}{ \sin(32) }  \\  \frac{h}{ \sin(22) }  =  \frac{17.03}{ \sin(32) }  \\ h =  \frac{17.03}{ \sin(32) } \times  \sin(22)   \\ h = 12.04cm
i hope this helps
8 0
3 years ago
Find the length of MN.<br> A) 7 <br> B) 25 <br> C) 32 <br> D) 39
MrRissso [65]

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

3 0
3 years ago
On tax free weekend Michael bought 3 shirts that cost $19.50 each. He used a coupon for 25% off of the total purchase. Rounded t
trasher [3.6K]
His total would be 58.50 then you multiply by .25 percent then you take 14.63 and subtract that from the total and you get 43.87
8 0
3 years ago
A triangle has sides with lengths of 9 kilometers, 12 kilometers, and 15 kilometers. Is it a right triangle?
rusak2 [61]

it is a right triangle i am positive

6 0
3 years ago
Other questions:
  • Sabah has $450 to pay for college textbooks. She expects to pay about $75 per book. Her friend told her that 4 of them can be ch
    14·2 answers
  • Tambra needs to make sure that she has a representative sample for her master's thesis. She needs to ensure that her sample matc
    8·1 answer
  • CAN SOMEONE PLEASE HELP ME I NEED TO KNOW THIS LIKE NOW ITS SUPER IMPORTANT
    14·1 answer
  • 4*4+2=<br> please answer the question above
    11·2 answers
  • Work out the volume of a cube of edge 2m
    5·2 answers
  • PLEASE HELPPPP
    14·1 answer
  • Ms. Sutton recorded the word counts and scores of the top ten essays in a timed writing contest. The table shows her data. How d
    14·2 answers
  • You earn $80 for working 10 hours. How much do you earn for 2.5 hours? (RATIOS)
    7·2 answers
  • Convert 625 km per 4.33 hours (km/hr) into meters per second (m/s)
    15·1 answer
  • 6x=72
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!