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
kogti [31]
3 years ago
8

Here are two squares, A and B. A B The length of each side of square B is 4cm greater than the length of each side of square A.

The area of square B is 70cm2 greater than the area of square A. Find the area of square B. Give your answer correct to 3 significant fi
Mathematics
2 answers:
iVinArrow [24]3 years ago
5 0

Answer:

La²+8La+16 = La²+70

Step-by-step explanation:

8La+16 = 70

8La=70-16

La=54/8

La= 6.75

Area b = (6.75+4)*(6.75+4)

Area b = 10.75*10.75

Area b =115.563

alina1380 [7]3 years ago
4 0

Answer:

144cm²

Step-by-step explanation:

Area of square A Aa = La²

Area of square B  Ab= Lb²

If the length of each side of square B is 4cm greater than the length of each side of square A, then;

Lb =  La + 4 ... 1

Also if the area of square B is 70cm² greater than the area of square A, then;

Ab = Aa + 70

Since Aa =  La² and Ab =  Lb²

Lb² = La² + 70 ...2

Substitute 1 into 2;

(La+4)² = La²+70

Expand

La²+8La+16 = La²+80

8La+16 = 80

8La = 80 - 16

8La = 64

La = 64/8

La = 8cm

Since Lb = La + 4

Lb = 8 + 4

Lb = 12cm

Area of square B = Lb²

Area of square B = 12²

Area of square B = 144cm²

You might be interested in
51 divided by 3 is k.<br> Solve for k.<br> k<br> =
SVETLANKA909090 [29]
17 ... 51 divided by 3 is 17
5 0
2 years ago
Read 2 more answers
Use a matrix equation to solve the system of linear equations. left brace Start 2 By 1 Matrix 1st Row 1st Column 2nd Row 1st Col
natali 33 [55]

Answer:

\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right]

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

A^{-1} = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = \left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right]

A^{-1}= \frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right] = \left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right]

4 0
2 years ago
Someone please help me on number 5
NemiM [27]
I'm pretty sure it's 22%
If it's not, then I'm sorry!!
3 0
2 years ago
Read 2 more answers
At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 10 cubic feet per minute. The di
lawyer [7]

Answer:

0.0063 ft / min

Step-by-step explanation:

From the problem statement we have that the variation in volume with respect to time is equal 10, like this:

dV / dt = 10 ft ^ 3 / min

We know that the volume of the cone is given by the equation:

V = (1/3) * Pi * r ^ 2 * h

Now, we are mentioned that the diameter of the base of the cone is approximately three times the altitude, therefore:

2r = 3h, solving for r we have:

r = (3/2) * h, replacing the volume equation:

V = (1/3) * Pi * [(3h / 2) ^ 2] * h, solving we have:

V = (3/4) * Pi * h ^ 3

They ask us to calculate the change in height with respect to time, that is dh / dt

Therefore we derive both sides with respect to time, we have to:

dV / dt = (3/4) * Pi [3 * (h ^ 2) dh / dt] = (9/4) * pi * (h ^ 2) * dh / dt

reorganizing for dh / dt, we have:

dh / dt = [4/9 * pi * (h ^ 2)] * dV / dt

Knowing that h is 15 and dV / dt is 10, we replace these values:

dh / dt = [4/9 * 3.14 * (15 ^ 2)] * 10 = 0.0063 ft / min

0.0063 ft / min would be the change in height with respect to time.

4 0
3 years ago
Jhon can solve 6 math problems in 20 minutes while another student, Juaqine, can solve the same 6 math problems at a rate of 1 p
ASHA 777 [7]

Answer:

  Jhon

Step-by-step explanation:

At the rate of 4 minutes per problem, it take Juaqine ...

  (4 min/prob)×(6 prob) = 24 min

to solve the problems.

That is more time than it takes Jhon, so Jhon is faster.

3 0
3 years ago
Other questions:
  • PLEASE ANSWER + BRAINLIEST!!!!
    5·1 answer
  • Ian is going to water his plants is it reasonable to say he will fill the watering can with 3 liters of water explain
    9·1 answer
  • Evaluate 6t - 20 - 32u when t = 1/4
    15·1 answer
  • Simplify 4y+6x-3(x-2y)​
    9·2 answers
  • as internet usage grows in a particular country, more and more of its regional governments are placing services online. thirty f
    14·1 answer
  • Need help on both these questions please thank you
    13·1 answer
  • Solve for x x-(-9)=3
    9·1 answer
  • Harprr buys a flannel sheet online for 22.50.If shipping and handling are an additional 35% of the price,how much shipping and h
    8·1 answer
  • Solve<br> 4/√7-1 +2/√7+1
    15·2 answers
  • A painter used 1 1/2 gallons of paint to paint 3/4 of a room. At this same rate, how many gallons will it take to paint the whol
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!