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
Juliette [100K]
3 years ago
9

Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long. Maria has 3 4 foot of trim left. Wh

at was the length of the trim when she started? Enter your answer in yards.
Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

We have been given that Maria put trim around a banner that is the shape of a triangle. Each side is 21 inches long.

The amount of trim will be equal to perimeter of triangle. The perimeter of given triangle will be 3 times each side length that is 3\times 21=63 inches.

Now we need to convert 63 inches into feet.  

12 inches = 1 feet

63 inches = \frac{63}{12}  feet = 5.25 feet.

We are also told that Maria has \frac{3}{4} foot of trim left, so total length of trim would be trim used plus trim left that is 5.25+\frac{3}{4}=5.25+0.75=6 feet.

Since we need to find length of trim in yards, so we will convert 6 feet into yards.

3 feet = 1 yard

6 feet = \frac{6}{3} yards = 2 yards

Therefore, the length of the trim was 2 yards.

You might be interested in
Find the integer that lies between <img src="https://tex.z-dn.net/?f=%24%5Csqrt%5B3%5D%7B-45%7D%24%20and%20%24%5Csqrt%5B3%5D%7B-
Romashka-Z-Leto [24]

∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45

Similarly,

∛(-101) = - ∛101

Now,

• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4

• 5³ = 125, so ∛101 would similarly fall between 4 and 5

So to summarize, we have

3 < ∛45 < 4 < ∛101 < 5

so that

-5 < ∛(-45) < -4 < ∛(-101) < -3

so the integer between these numbers is -4.

4 0
3 years ago
HELPPP Plzzzzzzzzzz ASAP
Pepsi [2]
12*6 = 72 - (3*4) = 60 - (4*5) = 40
3 0
3 years ago
Read 2 more answers
Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.
Viefleur [7K]
Kinetic energy possessed by moving train is E_k = 150000J.

And mass m = 10000kg.

The formula for kinetic energy is E_k = \frac{m\times v^2}{2}.

Solve for velocity:

E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2

v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}

Now put in the data:

v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}
5 0
3 years ago
Help me on this Geometry question "Finding angle measures using triangles".<br>​
vladimir1956 [14]
X is 63 degrees!
It is equal to the angle marked 63 degrees (angles in that arrangement are always equal)
5 0
3 years ago
Read 2 more answers
Anna is in a cave 42 feet below the cave entrance. She descends 10 feet, then ascends 15 feet. Find her new position relative to
Mademuasel [1]

Answer:

Her new position is 37 feet below the cave entrance

Step-by-step explanation:

Let us solve the question

∵ The cave entrance is the zero position

∵ Anna is in 42 feet below the cave entrance

→ Below zero means negative

∴ Anna is in -42 feet

∵ She descends 10 feet

→ Descend means negative

∴ She is in -42 + -10 = -52 feet

∵ She ascends 15 feet

→ Ascend means positive

∴ She is in -52 + 15 = -37 feet

→ -37 means she is in below the cave entrance by 37 feet

∴ Her new position is 37 feet below the cave entrance

8 0
3 years ago
Other questions:
  • Plzzz i need help and i need to get this right!!!!!
    14·2 answers
  • In which of the following ways are linear systems similar to quadratic systems? Select all that apply.
    9·2 answers
  • Cost to store: ? <br> Markup: 80% <br> Selling Price: $100.80. What is the cost to store?
    13·1 answer
  • Mercury poisoning is dangerous overload of mercury within the body. A major source of mercury within the body, A major source of
    15·1 answer
  • Partial of 7×56 please
    6·2 answers
  • What is the next term in this geometric sequence?<br> 104, -52, 26, -13, ...
    15·1 answer
  • If each of the 4 shelves holds 12 movies, how many movies does Betty have on her shelving unit? Show your work.
    12·2 answers
  • What is 6.5% of $6991.94
    8·2 answers
  • A building that is 90 feet tall cast a shadow 30 feet long what is the angle of elevation of the sun
    11·1 answer
  • A. Transform each quadratic function into standard form. Identify the constants h and k. - 1) y = x2 + 10x – 13 2) y = x2 - 6x +
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!