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
uranmaximum [27]
3 years ago
14

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
4 0

Answer:

<u><em>Radius -  </em></u>4

<u><em>Apothem -  </em></u>2

<u><em>Area - </em></u>12\sqrt{3} or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

12\sqrt{3}  \div3 = 4\sqrt{3}

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

Small=2\sqrt{3} \\Hypotenuse = 4\sqrt{3} \\Long =6

By the way, the formula for the area can be either of the two:

A= \frac{1}{2} bh\\or\\A = \frac{1}{2} NAS

we can easily find the area using the first formula.

A= \frac{1}{2} (4\sqrt{3} )(6)\\A=12\sqrt{3}

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

<em>Happy April Fool's btw, lol.</em>

You might be interested in
Taylor used 2 cans of blue paint and 5 cans of yellow paint to decorate a wall. Each can contains 200 millilitres of paint.
rewona [7]

Answer:

C.

Step-by-step explanation:

200 X 5 = 1000

200 X 2 = 200

1000-200= 800.

Taylor uses 800 ml more of yellow paint compared the blue paint.

7 0
3 years ago
BRAINLIEST IF CORRECT!! Which property of equality would you use to solve
shusha [124]

Answer:

0.4

Step-by-step explanation:

14x = 35 \\  \div b \: s \: y \: 14 \\ 14x \div 14 = 35 \div 14 \\ x = 0.4

4 0
2 years ago
a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long
QveST [7]

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

A=P(1+\frac{r}{n})^{nt}

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

14800=9000(1+\frac{0.05}{2})^{2t}

\frac{14800}{9000}=(1+0.025)^{2t}

1.644=(1.025)^{2t}

Taking log both sides.

\log(1.644)=\log(1.025)^{2t}

\log(1.644)=2t\log(1.025)    [\because \log a^b=b\log a]

\frac{\log(1.644)}{2\log(1.025)}=t

t=10.066

t=10.1

Therefore, the required time is 10.1 years.

3 0
3 years ago
Jackie has $32.50 to buy a new pair of jeans. The pair she likes costs $38 but is marked “20% off ticketed price.” The sales tax
ohaa [14]
Hello! So, the jeans are 20% off of the original price. While she gets 20% off of the jeans, she still has to pay 80% of the price. To find out the discount price, multiply 38 by 80% (0.8). 38 * 0.8 is 30.4 $30.40 is the discount price. There is 5% tax on the item. First off, let's add 1 to the rate. 5% is 0.05 in decimal form. 1 + 0.05 is 1.05. We add 1 to the percentage rate, because adding that and multiplying that amount will bring us straight to the new price. Now, multiply 30.4 and 1.05 together to get the new price. When you do, you get 31.92. $31.92 is the price of the jeans. 31.92 < 32.50. Jackie has enough money to buy the jeans.
4 0
2 years ago
X^2+y^2+14x+10y=7 <br> center and radius
Sholpan [36]
(x-a)^2+(y-b)^2=r^2\\\\(a;\ b)-the\ coordinates\ of\ the\ center\\r-the\ radius\\\\==================================\\Use:(k+l)^2=k^2+2kl+l^2\ (*)\\==================================

x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

Answer:\\\boxed{(-7;-5)-center;\ 9-radius}
8 0
3 years ago
Read 2 more answers
Other questions:
  • Rolex worked 40 hours last week she had $74 deducted from his earning for taxes . if he had $286 left after the deduction how mu
    9·1 answer
  • What is the area of this tile?<br> Is it in. or in2
    14·2 answers
  • Eva played her favorite video games for 14 hours last week. Today, evas parents restricted her to 4 hours each week for the next
    9·1 answer
  • What is the height of a cone with the volume of 90 and an base area of 18
    10·2 answers
  • set a is the set of all non negative integers. Set B is the set of all non positive integers. which integer is in both sets?
    8·2 answers
  • Given the following functions:
    14·1 answer
  • One number is 1/2 of another number. The sum of the two numbers is 18. Find the two numbers?
    13·1 answer
  • Two factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels than Plant B did. Four percent of the pan
    10·1 answer
  • What is the value of the expression -38-16-(-23)?<br> O-31<br> O-45<br> O-54<br> O-77
    9·1 answer
  • Let U = {t,u,v,w.x,y,z). A = {w.y}, B = {v,w}, C = {t.x.v}, and D = {v.z.x.t,w}. Tell whether the statement below is true or fal
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!