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
suter [353]
3 years ago
6

The Tower of Pisa is well known worldwide for how it leans,

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

The tower is approximately 57.34 meters long

Step-by-step explanation:

The given parameters are;

The type of triangle formed by ΔABC = Non-right triangle

The measure of ∠ACB = 55°

The horizontal displacement of the tower, BX = 5 m

The length of BC = 45 m

Therefore, we have;

Triangle ΔABC type = Right triangle

By the tangent to an acute angle, θ, in a right triangle, we have;

Tan(\theta) = \dfrac{Opposite \, side \  length}{Adjacent\, side \ length}

Where θ is the 55°, we have angle, we have;

Tan(55^{\circ}) = \dfrac{XA}{XC}

BC = BX + XC

∴ XC = BC - BX

XC = 45 m - 5 m = 40 m

\therefore Tan(55^{\circ}) = \dfrac{XA}{40}

XA = 40 × tan(55°) ≈ 57.126

The type of triangle formed by ΔABX = Right triangle

According to Pythagoras theorem, AB² = XA² + BX²

∴ AB = √((40 × tan(55°))² + 5²) ≈ 57.34

The length of the tower, AB ≈ 57.34 m

You might be interested in
Which statement is true ? <br> I will give brainliest to the person who answers correctly.
Alja [10]
Answer: A
Explanation: Area of a rectangle = length * width= 2 * 5n = 10n. So Jenny was correct and Alan was wrong (because the length of the rectangle is not 2n; it is just 2)
5 0
3 years ago
please help!!! the study conducted was 6 days long: there was 72mm of plant food and it decreased an equal amount each day.
Anuta_ua [19.1K]

Answer:

f(x) = 72 - 12x

Step-by-step explanation:

No. of days of study = 6

Amount of food to use for the 6 days = 72 mm

Given that equal amount of food was used each day, amount used per day = \frac{72}{6} = 12 mm

This would enable us derive a function for the amount of food remaining f(x), which can be expressed as a function of the number of days that have passed, (x).

Thus, we would have:

f(x) = 72 - 12x

Let's check if this equation expresses the relation of the function well.

At the end of day 1, if we used, 12mm, we would have 72 - 12 = 60mm of food remaining.

If we replace x in the equation we derived, we would get the same 60mm as the amount of food remaining.

If you try 2, 3, 4, 5 days, you'd get same thing.

At the end of the study, after the 6th day, the food would remain nothing.

Replace 6 for x in the relation function derived, you'd get a value of 0.

6 0
3 years ago
Robert collected 330 aluminum cans. If 100 aluminum cans weigh 4 pounds, and the recycling center is paying 25 cents a pound, ho
Phantasy [73]

Step-by-step explanation:

Cost per pound, c = 25cents

number of cans per pound, n = 100/4 = 25cans

total cans collected, t = 330cans

payment for total cans collected,p

where p = (t/n)×c = (330/25)×25 = 330cents

7 0
3 years ago
What is the value of the discriminant for the quadratic equation -3=-x 2+2x
seraphim [82]
X=3,-1 your answer is right here
3 0
3 years ago
Solve equation <br> 0.3 :4=9:y
elixir [45]

Answer:

You should use photomath, it would be more easier for u. Oh, and by the watñy Y=12

3 0
3 years ago
Other questions:
  • What percent of 135 is 81?
    11·2 answers
  • The difference of six times a number and seven results in 35.
    13·2 answers
  • Jonathan must determine the solutions of the quadratic equation
    8·2 answers
  • Is 0.2971 irrational?
    9·1 answer
  • What is the answer?!?!?!?!
    9·2 answers
  • PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!! PLSSSS HELPPPPPP I WIIILLLL GIVEEE BRAINLIEST!!!!!!
    14·1 answer
  • Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?
    13·1 answer
  • Enlarge triangle ABC by scale factor of -2 and centre (4,2)
    10·1 answer
  • Ken ate three donuts. The percentage of the daily allowance for fat is 17% for one
    13·1 answer
  • Use the following variables for #'s<br><br>(3-5):<br><br>f= -6 g= 7 h=9<br><br><br>4) 5-f
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!