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
Kobotan [32]
3 years ago
5

A rectangle and an equilateral

Mathematics
1 answer:
jek_recluse [69]3 years ago
4 0

Answer:

The area of the rectangle = 50 cm^2.

Step-by-step explanation:

Let the shortest side of the rectangle be x cm.

Perimeter of the rectangle is:

2x + 2(x + 5).

Perimeter of the triangle =  3 * 2x.

As they have the same perimeter:

2x + 2(x + 5) = 3*2x

2x + 2x + 10 = 6x

6x - 2x - 2x = 10

2x = 10

x = 5 cm.

So the area of the rectangle = x(x + 5)

= 5 * 10

= 50 cm^2.

You might be interested in
If ex + e⁻¹= 2, then x =..
harkovskaia [24]

Answer:

\rm x = \dfrac{2e - 1}{ {e}^{2} }

Step-by-step explanation:

\rm Solve \:  for \:  x: \\  \rm \longrightarrow ex +  {e}^{ - 1}  = 2 \\  \\   \rm \longrightarrow e x +  \dfrac{1}{e}  = 2 \\  \\  \rm Subtract \:   \dfrac{1}{e} \:  from \:  both  \: sides: \\   \rm \longrightarrow e x  +  \dfrac{1}{e} -  \dfrac{1}{e}  = 2  -  \dfrac{1}{e}  \\  \\   \rm \longrightarrow ex =  \dfrac{2e}{e} -  \dfrac{1}{e}   \\  \\   \rm \longrightarrow ex =  \dfrac{2e - 1}{e}  \\  \\  \rm Divide \:  both  \: sides  \: by  \: e: \\   \rm \longrightarrow  \dfrac{ex}{e}  =  \dfrac{2e - 1}{e \times e}  \\  \\   \rm \longrightarrow x =  \dfrac{2e - 1}{ {e}^{2} }

6 0
3 years ago
PLEASEEEE HELP ME ITS FOR AN IMPORTANT TEST AND I WAS NOT PAYING ATTENTION LOL
hichkok12 [17]

Answer: 3^2 * 3^8

Step-by-step explanation: 3^(4-2) * 3^(5+3)

3 0
2 years ago
Read 2 more answers
Can anyone help me? is it a b c or d
Nataly_w [17]

Answer: choice a

Step-by-step explanation:

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side. Note: This rule must be satisfied for all 3 conditions of the sides.

so it has to be in between 9 and 5

7+2=9

2+x>7

  --> x>5

however, it can't be 5 or 9

Hope this helps! <3

5 0
3 years ago
Compute the probability of randomly selecting a three or club.
Pavlova-9 [17]
Find the total number of cards in a deck. Count all the # 3’s total cards/#3 cards
Count all the clubs total card/ clubs
Not sure if you are counting 3’s & clubs together. If you are, total cards/ both
So all you have to do is count & then divide to get the probability.
5 0
3 years ago
X + 11 &lt; 6 <br> Solve and graph on a number line
Drupady [299]

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6  Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

        -6        -5         -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

Hope this helps! Have an awesome day ( • ω • )^

4 0
3 years ago
Other questions:
  • Help pleeeaaase this............... ..... .... .
    12·1 answer
  • How to 2 ft 5 in plus 9 in
    13·1 answer
  • What value of k makes the equation true?
    5·2 answers
  • Find 75 from 7 6 5 3
    6·1 answer
  • Si 2/3 de los 84 pasajeros de un bus de Transmilenio son hombres, ¿cuántas
    14·1 answer
  • Factor tree for number 119
    5·1 answer
  • E. Which of the following is NOT a possible probability? a. 25/100 b. 1.25 c. 1 d. 0
    7·1 answer
  • What is the sum of <br> 1<br> 8<br> +<br> 5<br> 16<br> +<br> 3<br> 8<br> ?
    10·2 answers
  • *100 POINTS* *100 POINTS*
    11·2 answers
  • (x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = _____
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!