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
pickupchik [31]
3 years ago
9

A ladder leaning against a building makes an angle of 78 degrees with the ground. The foot of the ladder is 5 feet from the buil

ding. How long is the ladder?
Mathematics
1 answer:
tatiyna3 years ago
4 0

9514 1404 393

Answer:

  24 feet

Step-by-step explanation:

The side adjacent to the angle is given, and the hypotenuse of the triangle is the unknown. The cosine relation applies:

  Cos = Adjacent/Hypotenuse

  hypotenuse = ladder length = (5 ft)/cos(78°) ≈ 24.0 ft

The ladder is about 24 feet long.

You might be interested in
Write the arithmetic series in summation notation.
Brut [27]

Answer:

Sum of (k*7) with i=1 to n=4

Step-by-step explanation:

3 0
3 years ago
A, b, c, d are the roots of 3x⁴-6x²+2=0. what is the value of a⁴+b⁴+c⁴+d⁴?
Pani-rosa [81]
Hello,

P(x)=x^4-6x²+2=(x-a)(x-b)(x-c)(x-d)
=x^4-(a+b+c+d)x^3+(ab+ac+ad+bc+bd+cd)x^2-(abc+abd+acd+bcd)x+abcd

==>
ab+ac+ad+bc+bd+cd=-6
abc+abd+acd+bcd=0
abcd=2
a+b+c+d=0 ==>(a+b+c+d)²=0=a²+b²+c²+d²+2(ab+ac+ac+bc+bd+cd)
==>a²+b²+c²+d²=0-2*(-6)=12




if a is a root P(a)=0==>a^4-6a²+2=0
if b is a root P(b)=0==>b^4-6b²+2=0
if c is a root P(a)=0==>c^4-6c²+2=0
if d is a root P(a)=0==>d^4-6d²+2=0

==>a^4+b^4+c^4+d^4-6(a²+b²+c²+d²)+4*2=0
==>a^4+b^4+c^4+d^4=-8+6*12=64


6 0
3 years ago
The graph shows y as a function of x:
Brrunno [24]
A is constant so A is the correct answer
4 0
2 years ago
Can some please help me?<br> First person gets Brainliest, 10 points!
Natasha_Volkova [10]

Answer:

oof iiiiiimmmmmmmmmso sorrry

7 0
3 years ago
Read 2 more answers
Evelyn and her family ate dinner at a restaurant. Their bill came to $46.50, and they left 20% tip. How much money did they spen
timurjin [86]
they spent $55.80 total
4 0
3 years ago
Other questions:
  • If sin theta = 1/3 and tan theta &lt; 0, what is the value of cos theta?
    15·1 answer
  • Carli made 9 greeting
    6·1 answer
  • How do you calculate the explicit solution to dP/dt=kP-h?
    9·1 answer
  • The solution to the inequality 5x - 4 &gt; 21 is represented by which number line?
    6·1 answer
  • the owner of an aquatic store used 17 1/2 gallons of water to fill aquariums. he puts 5 5/6 gallons of water in each aquarium. h
    11·1 answer
  • What does a function return?<br> O a procedure<br> O a routine<br> O a value<br> O a subroutine
    9·2 answers
  • What is a budget?<br> only a savings plan<br> savings and spending plan<br> only a spending plan
    9·2 answers
  • jalen found an outfit that is 20% off of the original price of $65. Find the discounted price of the outfit.
    8·1 answer
  • Select the correct answer from the drop-down<br> menu.
    12·2 answers
  • What inequality does this number line show?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!