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
aniked [119]
1 year ago
9

Find x. Round to the nearest tenth.

Mathematics
2 answers:
poizon [28]1 year ago
8 0

Angle of elevation remains same as they are alternative angles

  • cosØ=Base/Hypotenuse
  • cos31=400/x
  • x=400/cos31
  • x=466.65ft

Find y

  • tanØ=Perpendicular/Base
  • tan31=y/400
  • y=400tan31
  • y=240.34ft
lions [1.4K]1 year ago
4 0

Answer:

<u>x = 466.7 feet</u>

Step-by-step explanation:

Finding the top angle of the triangle :

  • They are complementary
  • 90° - 31°
  • 59°

Take the tan value of this angle to find y :

  • tan 59° = 400/y
  • 1.66427948 =400/y
  • y = 400 / 1.66427948
  • y = 240.344248

Using Pythagorean Theorem to find x :

  • y² + 400² = x²
  • x = √(240.344248)² + 160000
  • x = √57765.3575 + 160000
  • x = √217765.357
  • <u>x = 466.7 feet</u> (nearest tenth)
You might be interested in
And outdoor deck is 7 feet wide. The perimeter of the deck is 64 feet. What is the length of the deck?
vova2212 [387]
Well perimeter is lengthx2 and widthx2 so   7x2=14 
then 64-14=50
50÷2= 25 

length=25
4 0
3 years ago
The population of Collin County, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010.
Luden [163]

Answer:

p=ak^t

p1=491272*k^0

p2=782341*k^10

782341/491272 = k^10

k=1.047629

growth rate is 4.7629%

2012: predicted population is 491272*1.047629^12=858,642 people

1245863=491272*1.047629^t

1.047629^k=2.5363599

ln both sides is k ln 1.0476=ln 2.5363

t=20.000 years.

Rule of 72 would say 72/4.76 or 15.12 years for doubling

14.90 years

2017 predicted is 491272*1.0476^17 or 1083552, or more than actual, so the rate of growth is slowing down.

6 0
3 years ago
Compare the ratios in Table 1 and Table 2. Table 1 3 5 6 10 9 15 12 20 Table 2 7 10 14 20 21 30 28 40 Which statements about the
Hatshy [7]

Answer:

pp

Step-by-step explanation:

4 0
3 years ago
Given no other restrictions, what are the domain and range of the following function?
BlackZzzverrR [31]

Answer: I'm pretty sure the correct answer is C.

6 0
3 years ago
At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmers market, blueberries cost $4.20 for14
Minchanka [31]
Grocery store : 2.80/8 = 0.35.....so its 35 cents per oz.----0.35(16) = 5.60 per lb
farmers market : 4.20/14 = 0.3...so its 30 cents per oz --- 0.30(16) = 4.80 per lb

5.60 - 4.80 = 0.80.....answer is : blueberries are 80 cents per pound less expensive at the farmers market

4 0
3 years ago
Read 2 more answers
Other questions:
  • Roxanne has 1/2 as many beads as Sherrie. The number of beads Sherrie has is 4/5 that of Ting Ting's. Ting Ting has 165 beads. H
    15·2 answers
  • A belt <br> B earrings <br> C scoop neck tee <br> D skinny jeans <br> E tank top
    15·1 answer
  • DEFINE PARALLELLOGRAM
    11·1 answer
  • A faucet drips 23 gallon of water in 10 hours.
    12·1 answer
  • I need the length of c in the triangle shown. plz i need help badly.
    12·1 answer
  • CAN ANYONE HELP ME WITH THIS QUICKKKKK!
    6·1 answer
  • Question 4
    6·1 answer
  • One month Sam rented 2 movies and 5 video games for a total of 35. The next month he rented 8 movies and 3 video games for a tot
    6·2 answers
  • PLS HELP ME d + 7 2d-5 10d+ 1 Write and simplify an expression
    15·1 answer
  • It is claimed that 79% of all Americans live in cities with population greater than 100,000 people.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!