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
marysya [2.9K]
3 years ago
8

A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is

the area of the pentagon if theta=54 degrees? Round to the nearest foot.

Mathematics
1 answer:
pentagon [3]3 years ago
6 0
We assume that the dimension 5 has units of feet.

The area of each triangle will be
  A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
  A = (1/2)(2×5 ft)(5 ft)(tan(54°)
  A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
  total area = 5×25×tan(54°) ft² ≈ 172 ft²

You might be interested in
For what values of k
sergey [27]

If y = cos(kt), then its first two derivatives are

y' = -k sin(kt)

y'' = -k² cos(kt)

Substituting y and y'' into 49y'' = -16y gives

-49k² cos(kt) = -15 cos(kt)

⇒   49k² = 15

⇒   k² = 15/49

⇒   k = ±√15/7

Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.

3 0
3 years ago
Multiplicative inverse of fraction 4/12
docker41 [41]

Answer:

12/4

hope it helps!

Step-by-step explanation:

A multiplicative inverse is a reciprocal... A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1.

So the inverse of 4/12 is 12/4

Because 4/12*12/4= 1

5 0
3 years ago
Read 2 more answers
In how many ways can 6 different kinds of pizza be listed on the menu?
vredina [299]

Answer: 720

Step-by-step explanation:

Since we are to list 6 different kinds of Pizza and no condition is attached , this arrangement could be done in 6! ways.

That is

6! = 720

This means that the different kind of pizza could be listed in 720 ways

5 0
3 years ago
Tell What fraction each person gets when they share equally.
san4es73 [151]

Answer: 12 and a half i think

Step-by-step explanation:

4 0
3 years ago
Which table represents a proportional relationship?
crimeas [40]

Answer: d

Step-by-step explanation: because every x has 1 y

5 0
2 years ago
Other questions:
  • The number of goats to the number of sheep in a field is in the ratio 5:8. Farmer Giles has 32 sheep. How many goats does he hav
    7·1 answer
  • Which statement is true about the ratios of squares to circles in the tables? O The ratios in Table A are greater than the ratio
    7·2 answers
  • Help please. Which point is shown in the graph
    5·2 answers
  • A car takes 15 minutes to travel 24 miles. find its speed in mph
    8·1 answer
  • PLEASE HELP SOON<br> Find the length of x.
    8·2 answers
  • The first one is correct
    9·2 answers
  • 9-(7-3x) = 4+x-(3-x) solve for x
    10·1 answer
  • 2. A triangular prism has a base area of 27 square inches and a height of 13 inches. What is the
    6·1 answer
  • PLS PLS PLS HELP!!!! THIS IS DUE TODAYYYYY!!!!!! NO LINKS, NO STEALING POINTS, AND ONLY CORRECT ANSWERS OR YOU WILL BE REPORTED!
    9·2 answers
  • Solve for x round to the nearest tenth if necessary
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!