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
saveliy_v [14]
3 years ago
14

Please help me with these two, and please explain how to do it. Thank you.

Mathematics
1 answer:
pychu [463]3 years ago
3 0

Answer:

So for number 1 we can use the trigonometry to find out the radius/diameter of the circle then we can use the formula to get the area then we divide by 2 because its half of a circle. So we can get that the cos(68) = 7/x x being the diameter. We then can multiply it by x on both sides. That gives xcos(68) = 7. So then we can do the inverse and get x = cos^-1(68)*7. That gives us approx 18.686 as the diameter, we can divide by 2 and get 9.343. So then we can use the formula which is A = pi*r^2. So that gives us 87.291*pi 274.233. Then if we divide by 2 we get 137.12 that is the answer to first question.

I was able to simplify it into the factored form for number 2.(x-1)^2+(y-2)^2=sqrt(17))^2. Therefore using the circle equation formula we can determine that the center is 1,2. The radius is sqrt(17). We square it and we get 17. So that means that the area is pi*17. Then we get 51.407 as the area.

<h2><u>Answer to 1: 137.12 round to tenth and you get 137.1</u></h2><h2><u></u></h2><h2><u>Answer to 2: </u></h2><h2><u>Center: 1,2 </u></h2><h2><u>Area: 51.407.</u></h2>
You might be interested in
Anna wants to make 4 sets of curtains. Each set requires 5 1/8 yards of fabric. How much fabric does she need?
Nesterboy [21]
20 yards
take 5 1/8 and make that into 40/8 and then you will divide 40 into 8 and it = 5 so then you do 4x5=20

4 0
3 years ago
Read 2 more answers
Aaron bakes 3 trays of cookies each containing 10 cookies and Ethan bakes 4 trays of cookies each containing 12 cookies.
Sonbull [250]
6((3 * 10) + (4 * 12)).....ur expression
6(30 + 48)
6(78)
468 cookies in 6 days

5 0
3 years ago
Tim walks at a pace of 80 meters per minute. His school is 4 km away. If school begins at 8:00, what time does Tim need to leave
Naya [18.7K]

Answer:

7:10

Step-by-step explanation:

did the math

5 0
2 years ago
Read 2 more answers
As part of his math assignment, Santos has to estimate the height
ycow [4]

Answer:

105.46 feet

Step-by-step explanation:

We know all three angles (60, 90, and 30), as well as one side, which is adjacent to the 60 degrees. We want to find the side opposite to the 60 degree angle. To do this, we can use tangent, utilizing both opposite and adjacent.

Using tan, we can say that tan(60) = x/58, with x representing the height of the lighthouse (minus 5, because Santos is 5 feet tall and he is measuring the angle from the top of his head). Multiplying both sides by 58, we can get that 58 *tan(60) = x = 100.46. Add 5 to that to get 105.46 feet as your answer.

5 0
3 years ago
Skyscraper Windows
Musya8 [376]

Answer:

A.) $2,166

B.) $10,545

C.) (n/2)(3.5 + 0.5n) × 38

Step-by-step explanation:

Floor - - - - - - - - - - 1 - - - - - - - 2 - - - - - - - 3

Cost / window - - $2.00 - - - $2.50 - - - $3.00

Cost of washing first floor = $2 × 38

Cost of second floor is: (2 + 0.5) × 38

Cost of third floor is: (2 + 2 × 0.5) × 38

Cost of n floor : (2 + (n - 1) × 0.5) × 38

Therefore,

Total cost :

(2 + (2 + 0.5) + (2 + 2*0.5) + ... + (2 + (n - 1)*0.5)) × 38

Using Arithmetic progression for the sequence :

2, (2 + 0.5), (2 + 2*0.5),..., (2 + (n - 1)*0.5)

first term 'a' = 2; common difference 'd' = 0.5

Sum of the first n terms of arithmetic sequence terms is:

S = (n/2)(2a + (n - 1)d) ; Where a = 2 and d = 0.5

S = (n/2)(2*2 + (n - 1)*0.5)

S = (n/2)(4 + 0.5n - 0.5)

S = (n/2)(3.5 + 0.5n)

To wash all windows with n stories :

S × 38 windows

A.) To wash all windows : stories = 12

n = 12

(12/2)(3.5 + 0.5(12)) × 38

6(3.5 + 6) × 38 = $2,166

B.) if building is 30 stories tall:

n = 30

(30/2)(3.5 + 0.5(30)) × 38

15(3.5 + 15) × 38 = $10,545

C.) If building is n stories tall :

(n/2)(3.5 + 0.5n) × 38

4 0
2 years ago
Other questions:
  • What word is used to name the perimeter of a circle
    8·2 answers
  • Solve r = 1/2m^2p for p
    5·1 answer
  • What is the solution to the system of equations?
    13·1 answer
  • Solve: 3a - 2.4 = 5.1 a = _____
    10·1 answer
  • What animal can I draw in this shape has to fill the whole shape for art
    11·2 answers
  • Help I'm justing learning about this and I don't know what to start or do​
    10·1 answer
  • WILL GIVE BRAINLIEST
    9·1 answer
  • What is the sum for 2x+10?
    7·1 answer
  • Someone plsss help - find x ​
    14·2 answers
  • What is the surface area of this design? 6in, 4in, 4in, 6in, 10in
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!