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
love history [14]
3 years ago
11

A ramp leading into a building makes a 15o angle with the ground. the end of the ramp is 10 feet from the base of the building.

approximately how long is the ramp? round to the nearest tenth
Mathematics
1 answer:
Oksanka [162]3 years ago
3 0
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
You might be interested in
1/100,000 as a power of ten. What Is it?
Ivahew [28]

Answer:

10^-5

10^-5 = 1/100,000

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Tapiwa takes 5% more leaves than adam raked. together they raked 697 liters of leaves
Nina [5.8K]
----------------------------------
Define their percentage:
----------------------------------
Adam = 100%
Tapiwa = 100 + 5 = 105%

----------------------------------
Find their total percentage:
----------------------------------
100 + 105 = 205

----------------------------------
Find 1%
----------------------------------
205% = 697 liters
1% = 3.4 liters

----------------------------------
Find 100% (Adam):
----------------------------------
100% = 3.4 x 100
100% = 340 liters

----------------------------------
Find 105% (Tapiwa):
----------------------------------
105% = 3.4 x 105 
105% = 357 liters

--------------------------------------------------------------------
Answer: Tapiwa =  357 liters and Adam = 340 liters.
--------------------------------------------------------------------

8 0
3 years ago
5. Landon bought a new car for $16,000 and it depreciates 4.5% every year. Write a function that describes
snow_tiger [21]

Answer:

<h3>The value C(t) of the car after  5  years is $12709.</h3>

Step-by-step explanation:

Given that Landon bought a new car for $16,000 and it depreciates 4.5% every year.

<h3>To find the value C(t) of the car after  5  years:</h3>

Initial value C(0)= $16,000

Depreciation rate is  r=\frac{4.5}{100}

<h3>∴ r=0.045</h3>

Period ,  t=5 years

C(t)=C(0)(1-r)^t

Substitute the values we get

C(5)=16000(1-0.045)^5

=16000(0.955)^5

=16000(0.7943)

∴ C(5)=12708.8

<h3>The value C(t) of the car after  5  years is  $ 12709</h3>
3 0
3 years ago
Witch best describes a triangle acute obtuse right or equlateral
Zanzabum
The answer would be right triangle. Hope that helps! :3

Oh and you spelled which wrong.
6 0
3 years ago
Make x the subject of y = 4x + 1<br>You may use the flowchart to help you if you wish.<br>X<br>y​
Paha777 [63]

Step-by-step explanation:

y = 4x+1

y–1 = 4x

x = (y–1)/4

5 0
3 years ago
Other questions:
  • Two-Thirds of the 96 members approved the plan
    12·1 answer
  • Why is renting sometimes considered “throwing money away”?
    10·2 answers
  • Simplify 2x + x<br> a) 2x^2<br> b) 3x<br> c) 3x^2
    8·2 answers
  • 150 parents were surveyed. 26% said that the kids were noddy and 70% said their kids were nice. How many parents didn’t answer w
    8·1 answer
  • A researcher wants to determine an interval estimate for the average weight of all gorillas (in pounds). She wants to be 95% cer
    8·1 answer
  • A nutrition lab tested 40 hot dogs to see if their mean sodium content was less than the 325-mg upper limit set by regulations f
    10·1 answer
  • Would -x - 3y = -1 convert into y = -1/3 x - 1/3​
    10·1 answer
  • A particular line passes through (9,0) and has a negative slope if the Y intercept is a single digit prime number what is the su
    13·1 answer
  • Expand the expression
    15·2 answers
  • What fraction of an hour is 25 minutes?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!