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
krek1111 [17]
3 years ago
11

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point M

. What is the length of MC?
16 mm
24 mm
32 mm
48 mm
Mathematics
2 answers:
madam [21]3 years ago
7 0

Answer:

The answer is A, 16 mm

a_sh-v [17]3 years ago
3 0

Answer:

16 mm  

Step-by-step explanation:

Since ABC is an equilateral triangle, all three sides are the same length.  The perimeter is found by adding together all of these equal sides; letting x represent the length of a side of the triangle, this gives us

x + x + x = 96

Combining like terms,

3x = 96

Dividing both sides by 3,

3x/3 = 96/3

x = 32

Since AM is a perpendicular bisector, it splits BC into two congruent sections. This means the length of MC, half of BC, will be 32/2 = 16.

You might be interested in
you deposit $1500 in an account that pays 5% annual interest compounded continuously what is the balance after 6 years.
Gemiola [76]
Hello kiddio lets figure this out!

The formula for simple interest is I = P*R*T where I = interest, P = Principal (original amount), R is the rate as a decimal, and T is time in years.  So I = 1500*(.05)*6 = 1500*(0.30) = $450.  The total amount you have after 6 years is the amount you started with ($1500) plus the interest ($450) which is $1950.   The formula for yearly compounding is  A = P(1 + r)t   where   A = Accumulated or final amount  P = Principal ($1500) r = interest rate as a decimal (0.05)t = time (6 years)   A = 1500*(1 + 0.05)6 = 1500*(1.05)6 = $2010.14  

Have a nice day
3 0
3 years ago
Find the volume of a right circular cone that has a height of 3.9 ft and a base with a circumference of 16.3 ft. Round your answ
MissTica

Answer:

The answer to your question is Volume = 27.5 ft³

Step-by-step explanation:

Data

Volume = ?

height = 3.9 ft

Circumference = 16.3 ft

Process

1.- Calculate the radius of the Cone

   Circumference = 2πr = 16.3 ft

-Solve for r

                                    r = 16.3/2π

                                    r = 16.3/6.28

                                    r = 2.5955 ft

2.- Calculate the volume

Volume = 1/3πr²h

-Substitution

Volume = 1/3(3.14)(2.5955)²(3.9)

-Simplification

Volume = 1/3(82.4966)

-Result

Volume = 27.5 ft³

8 0
3 years ago
Read 2 more answers
You spend 2 hours and 15 minutes commuting to work each day. You work five days per week. How much time do you spend commuting t
xeze [42]

11 hours and 15 minutes because doing 2.25, which is equal to 2 hours and 15 minutes, times 5 you end up getting 11.25, and converting that to time you get 11 hours and 15 minutes.

8 0
3 years ago
Solve the system by substitution.<br> 4y =<br> 5x -10y =-50
Trava [24]

Answer:

x = -20 ; y =-5

Step-by-step explanation:

Eqn. 1 ----> 4y = x

Eqn. 2 ----> 5x-10y = -50

(Simplifying eqn.2 further)

=>5(x-2y)=-50

=>x-2y=\frac{-50}{5} =-10

(Substituting the value of x from eqn. 1)

=>4y-2y=-10

=>2y=-10

=>y =\frac{-10}{2} =-5

Now, substituting the value of y in eqn. 1 ,

x = 4*(-5)=-20

7 0
3 years ago
Which fraction is larger 3/4 or 7/9 and find the common denominator
FrozenT [24]

Answer:

the answer is 7/9

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • What ratio would you use to convert 1.5 feet to miles?
    11·1 answer
  • Find the volume of a cone with diameter 3.6 inches and height 2.2 inches.
    10·1 answer
  • What is 12.05/12 correct to 2 decimal place
    13·2 answers
  • Using the distributive property to transform 4(x +3) = 3(3x -1) how do I substitute 3 for x to see if it’s a true statement?
    6·2 answers
  • Expand and simplify 2(x+7)+3(x+1)
    7·1 answer
  • The profits of a company are found by subtracting the company's costs from its revenue. If a company's cost can be modeled by 14
    10·1 answer
  • Just need help 1-3 because it’s not easy
    13·1 answer
  • Using the number line above, select the number that would be the opposite of Point T.
    13·1 answer
  • 0.4 (-4.1 - 3.6b) - 7.9b + 1.59<br><br>-7.7<br><br>-5.7<br><br>5.7<br><br>3.6​
    8·1 answer
  • Paul is 6 times as old as his brother. Paul is 12 years old.how old is his brother?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!