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
Arisa [49]
2 years ago
15

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
1 answer:
Hatshy [7]2 years ago
3 0

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of ​​the two rectangles that give us

first we have to know the formula to calculate the area of ​​a rectangle

a = area

l = length  = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

You might be interested in
In a class of 29 students, 19 are female and 14 have an a in the class. there are 8 students who are male and do not have an a i
vodomira [7]

Answer:

5/ 19 ≈ 0.26 = 26%

Step-by-step explanation:

given: student is female. there is a 100% chance that the student is female

probability we want = (favorable outcomes) / (total outcomes)

total outcomes = 19 because there are 19 female students and the student must be female

favorable outcomes = 19 - 14 = 5 females who do not have an A in the class

probability = 5/ 19 ≈ 0.26 = 26%

3 0
2 years ago
Three security cameras were mounted at the corners of a triangles parking lot. Camera 1 was 110 ft from camera 2, which was 137
Nata [24]

Answer:

<em>Camera 2nd has to cover the maximum angle, i.e. </em>78.70^\circ.

Step-by-step explanation:

Please have a look at the triangular park represented as a triangle \triangle ABC with sides

a = 110 ft

b = 158 ft

c = 137 ft

1st camera is located at point C, 2nd camera at point B and 3rd camera at point A respectively.

We can use law of cosines here, to find out the angles \angle A, \angle B, \angle C

As per Law of cosine:

cos C = \dfrac{a^{2}+b^2-c^2 }{2ab}\\cos B = \dfrac{a^{2}+c^2-b^2 }{2ac}\\cos A = \dfrac{b^{2}+c^2-a^2 }{2bc}

Putting the values of a,b and c to find out angles \angle A, \angle B, \angle C.

cos C = \dfrac{110^{2}+158^2-137^2 }{2\times 110 \times 158}\\\Rightarrow cos C = \dfrac{12100+24964-18769 }{24760}\\\Rightarrow cos C =0.526\\\Rightarrow C = 58.24^\circ

cos B = \dfrac{110^{2}+137^2-158^2 }{2\times 110 \times 137}\\\Rightarrow cos B = \dfrac{12100+18769 -24964}{30140}\\\Rightarrow cos B = \dfrac{5905}{30140}\\\Rightarrow cos B =0.196\\\Rightarrow B = 78.70^\circ

cos A = \dfrac{158^{2}+137^2-110^2 }{2\times 158 \times 137}\\\Rightarrow cos A = \dfrac{24964+18769-12100}{43292}\\\Rightarrow cos A = \dfrac{31633}{43292}\\\Rightarrow cos A = 0.731\\\Rightarrow A = 43.05^\circ

<em>Camera 2nd has to cover the maximum angle</em>, i.e. 78.70^\circ.

6 0
3 years ago
Match the following proofs to each other. The answers there I guessed on but most likely not right. I need help. My grade is not
DanielleElmas [232]

a

Step-by-step explanation:

6 0
2 years ago
Read the following description of a
Annette [7]

Answer:

\sf a = \boxed{\bf 1}  \ n+ \boxed{\bf 3}

Explanation:

\sf \underline{rate} \ = \ \sf \dfrac{y_2-y_1}{x_2-x_1} \   = \  \dfrac{rise}{run}  \ = \  \dfrac{11-10}{8-7}   \ = \  \underline{1}

<u>Equation</u>:

\Rightarrow \sf a - a1 = m(n - n1)

\Rightarrow \sf a - 10 = 1(n -7)

\Rightarrow  \sf a = n - 7 + 10

\Rightarrow \sf a = n + 3

3 0
1 year ago
Gerry has 50 sport trading cards. of those, 1/5 of them are baseball cards, 1/10 of them are football cards, and the rest are ba
emmainna [20.7K]
1/5=10 There are 10 baseball cards 1/10=5 There are 5 football card's 50-10-5=35 There are 35 basketball card's 35-10=25 Gerry has 25 more basketball card's than baseball card's
7 0
3 years ago
Other questions:
  • 396 to 505 percent of increasen
    7·1 answer
  • which graph represents a function with the domain of all real numbers greater than or equal to -7 and less than 2
    12·2 answers
  • The sum of $3,000 is deposited into an account paying 10% annually. If $1,206 is withdrawn at the end of years 1 and 2, how much
    10·1 answer
  • PLEASE HELP PLEASE PLEASE HELP
    5·2 answers
  • Solve for c in the proportion.<br> 6/c = 48/40 c= ?
    15·1 answer
  • A store had 235 MP3 players in the month of January. Every month, 30% of the MP3 players were sold and 50 new MP3 players were s
    14·1 answer
  • Please someone help me i need this to pass!
    6·1 answer
  • Find the solutions to x2 = 12.
    11·1 answer
  • Find the distance between the points<br><br> (5,-1) and (5,-7)
    6·1 answer
  • Apply the distributive property to 9(x + 2)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!