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3 years ago

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

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The variable can be g for games being bowled and the expression is 25g

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3 years ago

This question is down below. The picture attached below. 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=-0.1 $g^{2}$ +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=-0.1 $g^{2}$ +30g-1200

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

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

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

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

0.1 $g^{2}$ -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

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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.

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3 years ago

Round 14,445 to the nearest hundred

Bumek [7]

Answer:

the answer is 14,400

Step-by-step explanation:

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2 years ago

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Irina-Kira [14]

Answer:

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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

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3 years ago