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
Aleks [24]
3 years ago
6

What radius of a circle is required to inscribe an equilateral triangle with an area of 270.633 cm2 and an altitude of 21.65 cm?

(round to nearest tenth)

Mathematics
2 answers:
schepotkina [342]3 years ago
8 0

Answer:

The radius of the circle is 14.4 cm.

Step-by-step explanation:

Let a be the side of the equilateral triangle and r be the radius.

The area of a triangle is given by

A=\frac{1}{2}\cdot a\cdot h\\\\270.633=\frac{1}{2}\cdot a\cdot 21.65\\\\a=25.0007

We have calculate the side of the triangle. From the figure,

BD=\frac{a}{2}\\\\BD=\frac{25.0007}{2}\\\\BD=12.50035

Hence, in triangle OBD, we have

\cos30^{\circ}=\frac{BD}{r}\\\\\frac{\sqrt3}{2}=\frac{12.50035}{r}\\\\r=14.4

The radius of the circle is 14.4 cm.

skad [1K]3 years ago
4 0
The answer will be 14.4cm
You might be interested in
Graph the line using a point and a slope. Write the equation of each line. A line that passes through the point (0, –3) and para
kiruha [24]
Y + 3 = 1.2(x - 0)

y + 3 = 1.2x - 0

y = 1.2x - 3
5 0
3 years ago
What if the 360 cubic-inch paving stones are 4 inches thick and any whole number length and width are possible? How many differe
AleksAgata [21]
Umm im gonna guess on this one because im not good at math lol
, 3.58?
6 0
3 years ago
Read 2 more answers
Use the parabola tool to graph the quadratic function f(x)=−5x^2−2.
LiRa [457]
Desmos.com and plug in the equation
3 0
3 years ago
а Ava and her children went into a movie theater and she bought $48 worth of drinks and candies. Each drink costs $4 and each ca
adoni [48]

Answer:

x = 6

y = 8

Explanation and graph is given in picture

I hope it helps.

6 0
2 years ago
How much bigger is 1/2 to 1/3
natka813 [3]

Answer:

16.777% (7 repeating)

Step-by-step explanation:

well 1/2 is 50% and 1/3 is 33.333% so i think its about 16.777%

4 0
3 years ago
Other questions:
  • HELP!!! Picture included :).
    10·1 answer
  • What is the net mass of sugar if the gross mass is 12.5kg and the empty container is 400g
    8·1 answer
  • Solve the following equation for a: -g + 3/4a = y
    7·1 answer
  • How do you write the logarithmic equation in exponential form when you use ln?
    8·1 answer
  • Rewrite 4 x 4 x 4 x 8 x 8 using exponents PLEASE ASAP ILL NAME BRAINLIEST AND 15 POINTS
    6·2 answers
  • Please help on this problem
    11·1 answer
  • Helpppp pleaseeeeeeeeeeeee
    11·2 answers
  • A meteorite is a solid piece of debris from an asteroid or comet that traveled from outer space to reach Earth's surface. There,
    7·2 answers
  • Which is the best description of the shape of the distribution of the number of pets? Use the drop-down menu to complete the sta
    11·1 answer
  • When solving inequalities the inequality is reversed when:
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!