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
PLZ HELP AGAIN DUE TODAY ANSWER CHOICES ARE<br> A.140<br> B.188<br> C.132<br> D.104
spin [16.1K]
A) I don’t know for sure but please let me know :)
6 0
3 years ago
Evaluate 6y + x5<br> When x = -3, y = -5<br><br> please help &lt;33 current failing:(
Radda [10]

Answer:

-35

Step-by-step explanation:

if you take 6 x -5 ( y ) then -3 x 5 ( x ) then add them together then you get -35.

8 0
3 years ago
Read 2 more answers
Can someone please help
Sloan [31]

Answer:

41

Step-by-step explanation:

an = a1 + (n-1)d

a_n = the nᵗʰ term in the sequence = 10

a_1 = the first term in the sequence = 5

d = the common difference between terms = 4

a10 = 5 + (10-1)4

a10 = 5 + (9)4

a10 = 5 + 36

a10 = 41

7 0
2 years ago
Please Help. I will give brainlest to the person who answers this questions right
bija089 [108]
By my calculations and understanding into this problem I have figured out the answer to this thing and it is very simple and easy enough to actually say it so I can type it out instead because I can’t say anything on this thing even though I’m doing a voice record and I don’t even know how my grandma is doing right now so I’m just blah bling around is it random words of mine but honestly I would love to explain and tell you the answer but I do not know how to type it out so I’m just going to say it like I just said two seconds ago but I didn’t really say it again I just typed it I don’t know I keep getting confused with that but anyways the answer is very easy
3 0
2 years ago
PLEASE HELP <br><br> y/7=x<br> what is y?
AlekseyPX

Answer:

You can't find y in this way

Step-by-step explanation:

You should know the value of x

But you can say

Y=7x

5 0
2 years ago
Other questions:
  • Apply the distributive property to create a equivalent expression: (m-3+4n)x(-8)
    12·1 answer
  • The end of a hose was resting on the ground, pointing up an angle. Sal measured the path of the water coming out of the hose and
    15·2 answers
  • How can you find the whole when you know part and the percent.
    14·1 answer
  • Find the value of x.<br> A.70<br> B.54<br> C.40<br> D.74
    15·1 answer
  • A. solve x-9=x-9
    10·1 answer
  • A polynomial function is shown below: f(x) = x3 − 4x2 − x + 4 Which graph best represents the function? Graph of a cubic polynom
    15·2 answers
  • Kate missed a payment on a loan a year ago when times were rough, but has made all payments on time since then. Which statement
    13·2 answers
  • Please help I’m in a timed quiz
    12·1 answer
  • How are these triangles similar?
    13·1 answer
  • Find SP when profit loss is given​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!