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
Lena [83]
3 years ago
13

Help me i need to submit to my teacher by 8pm​

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Please see the figure. We'll first work out half the area of the rounded triangle, half the unshaded part, then double it, then subtract it from the big square.

Half the area is the circular sector PTQ (with center P, arc TQ) minus the right triangle PUT.

A/2 = area(sector PTQ) - area(triangle PUT)

The triangle is half of equilateral triangle PQT, so a 30/60/90 right triangle so we know the sides are in ratio 1:√3:2 so

TU = (7/2)√3

area(PUT) = (1/2) (7/2)(7/2)√3 = (49/8)√3

area(sector PTQ) = (angle TQP / 360°) πr^2

We know angle TQP is 60° because TQP is equilateral.  r=7.

area(sector PTQ) = (60°/360°) π (7²) = 49π/6

Putting it together,

A/2 = area(sector PTQ) - area(triangle PUT)

A = 2(49π/6 -  (49/8)√3)

A = 49(π/3 - √3/4) square cm

I hate ruining a nice exact answer with an approximation, but they seem to be asking.

A ≈ 30.095057615914535

Check:

I'm not sure how to check it.  I'd estimate it's about 25% bigger than equilateral triangle PQT with area (√3/4)7² ≈ 21.2, so around 27. 30 seems reasonable.

Now the real area we seek is the big square PQRS minus A, so

area = 7² - 30.095057615914535 = 18.904942384086 sq cm

They want square meters for some reason; we scale by (1/100)²

Answer: 0.00189 square meters

You might be interested in
Solve the inequality<br> -1/3h ≥ 7<br> A. h ≥ –21<br> B. h ≤ 7 1/3<br> C. h ≤ –21<br> D. h ≥ -2 1/3
JulsSmile [24]
The Answer Is C Fam...................
8 0
3 years ago
Read 2 more answers
Melissa earns $180 a week selling shoes plus a commission of $10 each pair of shoes she sells. How
eimsori [14]

Step-by-step explanation:

10X+ 180= 500

10X= 500-180

10X= 320. .....divine both sides by 10 to solve for X

X = 32.

check

10(32)+180 = 500

320+180 =500

500 =500...confirmed

4 0
3 years ago
How to find the surface area of a prism
Anuta_ua [19.1K]

Answer:

If you are talking about the rectangular prism the equation is  

2 × L × W + 2 × L × H + 2 × W × H

If you are talking about Triangular prism the equation is

B × H + L × S + L × B + L × C

5 0
3 years ago
Plz answer ASAP x=? thx
mrs_skeptik [129]
X is 10

I have shown the calculation in the attachment.

3 0
3 years ago
Read 2 more answers
What digits can be in the ones place of a number that has 5 as a factor?
Sophie [7]
The digits that can be in the ones place is 1 and 5.... I think.
3 0
3 years ago
Other questions:
  • A painting crew bought 30 gal of paint for a job. The crew members used 3 gal of paint per hour until they used all the paint.
    7·1 answer
  • (10,17),(7,8) slope?
    7·2 answers
  • Help Please
    15·1 answer
  • What is X^2 -8x+9=0 written in the form(x-P)^2 =q?
    15·1 answer
  • Which of the following represents the statement below?
    9·1 answer
  • Somebody help me with this
    9·2 answers
  • Know how to calculate sample size: A restaurant would like to estimate the average $ amount of a take-out order. The standard de
    6·1 answer
  • I big dumdum I don't understand ill give brainliest
    11·2 answers
  • Find the measure of each angle indicated.<br><br> A) 21°<br> C) 23<br> E) 25°<br> B) 80°<br> D) 20°
    5·2 answers
  • I will brainlist who can answer this 4 Questions!!<br><br> III. Answer each of the follow ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!