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
Ilya [14]
3 years ago
10

At a given time and place, the height of an object varies directly as the length of its shadow. If a flagpole 6 meters high cast

s a shadow 10 meters long, find the height of a building that casts a shadow 45 meters long.
Mathematics
1 answer:
AfilCa [17]3 years ago
5 0

Answer:

Height of the building that cast a shadow of 45 meters is 27 meters

Step-by-step explanation:

This is a direct variation and let height of the object represent H and shadow represent S

Hence H∝S

H = KS, where K=constant of proportionality

K = H/S

K = 6/10 = 0.6

Hence height of a building that cast a shadow of 45 meters

H = KS

H = 0.6 × 45 = 27 meters

You might be interested in
Arjun solved the equation 7·m=56 His work is shown. What error did Arjun make?
natulia [17]
He multiplied rather than dividing.

\mathrm{Divide\:both\:sides\:by\:}7 \ \textgreater \  \frac{7m}{7}=\frac{56}{7} \ \textgreater \  Simplify \ \textgreater \ m = 8

Hope this helps!
6 0
3 years ago
Read 2 more answers
4 × (28 ÷ 7)2 = <br> HURRYYYYY
umka21 [38]

The answer is 32

hope this helps! :)

8 0
3 years ago
Please help me! 7 points!! I don’t understand
SVETLANKA909090 [29]

This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.

For the resulting sum we can use the Law of Cosines or just add up the components.  Let's try it both ways.

Components first.   In the east direction we have

300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour

In the north direction we have

0 + 100 sin 30° = 100 (1/2) =  50 miles per hour

So a total speed of

sqrt{386.6^2 + 50^2} = 389.82 miles per hour

Answer: 389.82

--------

OK let's try the Law of Cosines.   We have sides 300 and 100 and included angle 150°.

c^2 = 300^2 + 100^2 - 2 (300)(100) \cos 150^\circ

c=\sqrt{151961.52422} = 389.82 \quad\checkmark

5 0
3 years ago
The product of two consecutive odd integers is 143 find their sum
Alexus [3.1K]
11*13=143
11+13=24
The sum of the two consecutive odd integers is 24
5 0
3 years ago
Determine the intervals on which the polynomial is entirely negative and those on which it is entirely positive. (Enter your ans
Stells [14]
This is a parabola that opens downward.
Remember that the axis of symmetry is located at x=-b/(2a).
So the vertex is at (3,-1)
So functions slope is positive or increasing on (-co, 3] and decreasing on [3,co).

5 0
3 years ago
Read 2 more answers
Other questions:
  • Whats the relationship between fractions and decimals?
    12·2 answers
  • What does an individual's effective tax rate indicate?
    12·1 answer
  • If you travel 1000 feet in 5 minutes, what is your speed per minutes?
    14·2 answers
  • Sally spent half of her allowance going to the movies. She washed the family
    9·1 answer
  • point A is at (3,4) and point M is at (5.5,0) . M is the midpoint between point A and point B. What are the coordinates for Poin
    10·1 answer
  • Who was the first prince of Russia to be crowned as a czar
    10·1 answer
  • Please beging help me thanks ​
    11·1 answer
  • What is the lub of 0.2,0.23,0.234,0.2343,0.23434,0.234343​
    10·1 answer
  • PLEASE HELP I WILL GIVE BRAINLIEST TO RIGHT ANSWER
    13·1 answer
  • Find the area of ABC<br>Help
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!