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
Archy [21]
3 years ago
7

The width of a rectangle a is 12 cm less than the length. The perimeter is 156 cm. Which

Mathematics
1 answer:
GarryVolchara [31]3 years ago
4 0

Answer:

Length is 45cm and Breadth is 33cm

Step-by-step explanation:

Perimeter = 156cm

Let the length be x

Breadth = x-12

Perimter = 2(l+b)

156 = 2(x-12+x)

156 = 2(2x-12)

156 = 4x-24

156+25 = 4x

180 = 4x

180÷4 = x

45 = x

Therefore, length is x = 45cm and breadth is x-12 = 45-12 = 33cm

OUR EQUATIONS

LENGTH = x

BREADTH = x-12

<em><u>P</u></em><em><u>L</u></em><em><u>Z</u></em><em><u> </u></em><em><u>M</u></em><em><u>A</u></em><em><u>R</u></em><em><u>K</u></em><em><u> </u></em><em><u>M</u></em><em><u>E</u></em><em><u> </u></em><em><u>A</u></em><em><u>S</u></em><em><u> </u></em><em><u>B</u></em><em><u>R</u></em><em><u>A</u></em><em><u>I</u></em><em><u>N</u></em><em><u>L</u></em><em><u>I</u></em><em><u>E</u></em><em><u>S</u></em><em><u>T</u></em><em><u>★</u></em>

You might be interested in
Plz help me it’s about apex and I just need the answer bc I don’t understand
trasher [3.6K]
The variable can be g for games being bowled and the expression is 25g
7 0
3 years ago
This question is down below. The picture attached below. <br> Thanks.
Ostrovityanka [42]

The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Given an equation showing profits of A Christmas vendor as

P=-0.1g^{2}+30g-1200.

We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.

To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.

665.60=-0.1g^{2}+30g-1200

0.1g^{2}-30g+1200+665.60=0

0.1g^{2}-30g+1865.60=0

Divide the above equation by 0.1.

g^{2}-300g+18656=0

Solving for g we get,

g=[300±\sqrt{(300)^{2}-4*1*18656 }]/2*1

g=[300±\sqrt{90000-74624}]/2

g=[300±\sqrt{15376}]/2

g=(300±124)/2

g=(300+124)/2       , g=(300-124)/2

g=424/2,  g=176/2

g=212,88

Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.

Put the value of P=1500 in equation P=-0.1g^{2}+30g-1200.

-0.1g^{2}+30g-1200=1500

0.1g^{2}-30g+1500+1200=0

0.1g^{2}-30g+2700=0

Dividing equation by 0.1.

g^{2}-300g+27000=0

Solving the equation for finding value of g.

g=[300±\sqrt{300^{2} -4*1*27000}]/2*1

=[300±\sqrt{90000-108000}] /2

=[300±\sqrt{-18000}]/2

Because \sqrt{-18000} comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.

Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.

Learn more about equation at brainly.com/question/2972832

#SPJ1

7 0
1 year ago
What theorem shows that TPN ≅ TQM?
melisa1 [442]

Note: Consider the side of first triangle is TQ instead of TA.

Given:

Triangles TQM and TPN which share vertex T.

TQ\cong TP,TM\cong TN

To find:

The theorem which shows that \Delta TPN\cong TQM.

Solution:

In triangle TQM and TPN,

TQ\cong TP        [Given]

\angle QTM\cong \angle PTN         [Given]

TM\cong TN        [Given]

Since two sides and their including angle are congruent in both triangles, therefore both triangles are congruent by SAS postulate.

\Delta TPN\cong TQM              [SAS]

Therefore, the correct option is C.

5 0
3 years ago
Round 14,445 to the nearest hundred
Bumek [7]

Answer:

the answer is 14,400

Step-by-step explanation:

7 0
2 years ago
Help pls dont give just the answer pls step by step so i can understand
Irina-Kira [14]

Answer:

y=14

Step-by-step explanation:

Since this is an isosceles triangle due to opposite sides being congruent, the base angles would also be congruent.

50 = 2x \\x=25

plug in 25 in 2x and you would get 50°

Since the sum of a triangle is 180° you could set up an equation 50+50+5y+10=180

Then, add 50+50=100+10=110

then you would then have 5y+110=180\\

subtract 110 from 180, leaving you with 70

5y=70

then divide and you would get 14

Check:

5(14)+10+50+50= 180

8 0
3 years ago
Other questions:
  • El señor Sandro tiene paquetes con varias bolsas de 35 lunetas cada uno Mientras que el señor Lauro tiene paquetes con bolsas de
    14·1 answer
  • How do You graph : y-10= -5x?
    13·1 answer
  • Two ropes extend from the top of a flagpole to the ground 18 feet away from flagpole’s base on either side. The flagpole is 30 f
    5·1 answer
  • if the temperature was -3 degrees in the morning and 8 degrees in the afternoon the change in the temperature during that time
    7·1 answer
  • An equation _____ has one solution.<br><br> Always <br><br> Sometimes <br><br> Never
    5·1 answer
  • What is 4664 ➗ by 94
    13·1 answer
  • I need Help ASAP please!!
    11·2 answers
  • Solve by factoring.<br> f(x) = x^2 + 7x + 12
    10·1 answer
  • Lauren knits scarves. Around Valentine's Day, she sold 39 red-and-white scarves for $12 each. She spent $45.60 on red yarn and $
    5·1 answer
  • The state medical school has discovered a new test for tuberculosis. (If the test indicates a person has tuberculosis, the
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!