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
agasfer [191]
3 years ago
14

Please help! All in the image:

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0

Answer:

66 cm^2

Step-by-step explanation:

By equating the area we get x = 6.

spin [16.1K]3 years ago
6 0

Answer:The area of the inner rectangle is 66 cm^2

Step-by-step explanation:

The diagram is that of a rectangle with a certain thickness. The area of the outer rectangle is given as 99cm^2. The length I given as (x + 5) and the width is given as x + 3.

The formula for the area of a rectangle is expressed as length, ×width,w. Therefore,

(x + 5)((x + 3) = 99

x^2 + 3x + 5x + 15 = 99

x^2 + 3x + 5x + 15 - 99 = 0

x^2 + 8x - 84 = 0

x^2 + 14x - 6x - 84 = 0

x(x + 14) - 6(x + 84) = 0

(x + 14)(x - 6) = 0

x + 14 = 0 or x - 6 = 0

x = - 14 or x = 6

x cannot be negative so x = 6 cm

The length of the inner rectangle is 2x - 1 = 2×6 - 1 = 12 - 1 = 11 cm.

The width of inner rectangle is x = 6 cm. The area of the inner rectangle is

11×6 = 66 cm^2

You might be interested in
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the
ehidna [41]

Answer: See attached table

Step-by-step explanation:

\begin{table}[]\begin{tabular}{lllll} &  &  &  &  \\ &  &  &  &  \\ &  &  &  &  \\ &  &  &  & \end{tabular}\end{table}+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

<u>Proofs:</u>
First row: 1+6+5 = 12

Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

6 0
2 years ago
I NEED HELP ASAP PLEASEEEEEE
earnstyle [38]

Answer:

3/24= 33/264

2/9= 12/54

4/5= 32/40

8/9= 16/18

42/18= 7/3

32/12= 8/3

Step-by-step explanation:

You have to use common factors and denominators to match numbers. VERY COMPLICTED! Hope this helps!

6 0
3 years ago
What is 18/27= help help help
padilas [110]
<span> the answer is 0.66666666666 </span>
6 0
3 years ago
PLS, HELP WILL GIVE BRAINLIEST, THANKS, AND 5 STAR RATING TO ANSWER SHOWING ALL WORK.
Harrizon [31]

Answer:

(a) ∠DAB  = 59°

(b) ∠A  = 135°

(c)  ∠A   = 99°

Step-by-step explanation:

<u>Theorem</u>: If a quadrilateral is inscribed inside a circle, then the opposite angles of the quadrilateral are SUPPLEMENTARY.

So, here in the given figures:

(1) ∠DCB +   ∠DAB  = 180°  (as opposite angles are supplementary)

⇒∠DAB   =  180°  -   121°   =  59°

or, ∠DAB  = 59°

(2) ∠DCB +   ∠DAB  = 180°  (as opposite angles are supplementary)

⇒(3x+6) + (x+2) = 180° or, 4x = 180 - 8 = 172

⇒ x = 172/4 = 43, or x  = 43

So, ∠A  = (3x+6)  =  3(43) + 6 = 135°

(3) (28) +  (x) = 180°

or, x =  180 - 28 = 152

So, ∠A  = (x- 36)  =  135 - 36  = 99°

(4)

5 0
3 years ago
Read 2 more answers
Positive square root of 81
Ne4ueva [31]
\sqrt{81} = +/-9 \\ (-9)^{2} =81 \\ (9)^{2} = 81
The square root of 81 is 9. Therefore, the positive square root of 81 is positive 9.

Hope this helps!
7 0
3 years ago
Read 2 more answers
Other questions:
  • Find the 50th term of the sequence 5, -2, -9, -16....
    9·1 answer
  • Simplify..............
    12·2 answers
  • Solve this inequality -14w minus 7&lt;-35
    14·2 answers
  • Which value is equivalent to x+4/4+x?<br><br> A. -4<br> B. -1<br> C. 1<br> D. 4
    12·2 answers
  • What is the answer to the problem (m-3)(-10)
    6·1 answer
  • Which formula can be used to describe the sequence?
    13·1 answer
  • Please answer correctly! I will mark you as Brainliest!
    12·2 answers
  • A bag contains the following marbles: 6 black marbles, 18 blue marbles, 16 brown marbles, and 12 green marbles. What is the rati
    9·1 answer
  • 5
    9·1 answer
  • Given a force of 10N and an acceleration of 5m/s? What is the mass?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!