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
Kisachek [45]
3 years ago
10

Frank's painting is on a large triangular canvas with side lengths 4 meters,

Mathematics
2 answers:
grandymaker [24]3 years ago
4 0

Answer:

A_{frame}=958 cm^{2}

Step-by-step explanation:

The triangle is attached.

According to the problem, the inner frame is 2 cm wide.

To find the area of that inner frame, we just have to subtract the outer triangle area with the inner triangle area.

Now, we know that the outer part of the triangular canvas has dimensions of 4m, 5m and 7, which are equivalent to 400cm, 500cm, and 700cm, because 1 meter is 100 centimeters.

Now, the area of the other triangle is

A_{outer}=\sqrt{p((p-a)(p-b)(p-c)}

Where p is half the perimeter. So, if the perimeter is

P=400+500+700=1600 cm

p=\frac{1600cm}{2}=800cm

And a, b, c are the sides of the triangle.

Replacing all these value, we have

A_{outer}=\sqrt{800((800-400)(800-500)(800-700)}\\A_{outer}\approx 97979.59 cm^{2}

Then, we do the same process, but in this case, the inner canvas has dimensions of 398cm, 498cm and 698 cm.

So, the perimeter is

P=398+498+698=1594cm

p=797cm

And the area would be

A_{inner}=\sqrt{797(797-398)(797-498)(797-698)} \\A_{inner}\approx 97022cm^{2}

So, the area of the frame is

A_{frame}=A_{outer}-A_{inner}=97980-97022\\A_{frame}=958 cm^{2}

Mazyrski [523]3 years ago
3 0

Answer:

3213 cm

Step-by-step explanation:

First draw the frame around the triangle. The circular edges added together give you 360 degrees. Use pi*r^2 to get 4pi which is around 12.56. 100cm=m. 2*500+2*400*2*700=3200.

3200+ 13 = 3213

You might be interested in
Given that f(x) = 6x + 2 and g(x) = solve for g(f(1)).
bixtya [17]
f(x)=6x+2\\\\
g(f(1))=6*1+2=6+2=8\\\\
Solution\ is \ g(x)=8
4 0
3 years ago
Consider the ratio 3:5.can you create an equivalent ratio by adding the same number to each quantity in the ratio?Explain
soldi70 [24.7K]

Answer: no

Step-by-step explanation: the ratio 3:5 can be written as 3/5 which 3/5 is not equal to 4/6 or 7:9

8 0
3 years ago
What is done wrong in this question please answer it ASAP!!! i need to submit in 30 min
Shkiper50 [21]

Answer:

dividing by a fraction is multiplying by the reciprocal.

This example swaps the left hand in stead of the right hand.

Step-by-step explanation:

So the correct approach would have been:

6 \times \frac32

\frac{18}{2} = 9

6 0
2 years ago
How do i do parallel lines and transversals
Natasha_Volkova [10]
A transversal is a line that intersects two or more other lines. When it intersects parallel lines, many angles are congruent. Parallel lines<span> are two </span>lines<span> that are always the same distance apart and never touch.</span>
5 0
3 years ago
2X +7 &lt; 3X -5——————————————————————————————-
mr Goodwill [35]

Answer:

x>12

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Amir encoded a secret phrase using matrix multiplication.
    7·1 answer
  • Y = 3x + 5 step 1 of 3: determine the slope and y-intercept of the equation above
    12·1 answer
  • would someone be able to explain to me how to solve these problems? I don't need the solutions, I just need an explanation. I ne
    8·1 answer
  • 18/40 =<br>simplify to the lowest term<br>​
    7·2 answers
  • Is (5+10)x=x(5+10) a distributive property
    10·1 answer
  • Solve for
    14·2 answers
  • PLEASE HELP!!!!! DUE TODAY!!!!!
    13·1 answer
  • The green shape is a dilation Of the black shape. What is the scale factor of the dilation?
    6·1 answer
  • Find the graph for the equation y=|x-3|-6?
    5·1 answer
  • City planners are planning to build a new community park. They agree that the park will be rectangular in shape, but the propose
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!