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diamong [38]
3 years ago
7

Square ABCD has a diagonal of 8 inches long. How many square inches is the area of the shape?

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
4 0
Area A of a square with side length a:  A = a².

Pythagoras theorem: a² + b² = c² 

2*a² = 8²

A = 8²/2

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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
Line RS intersects triangle BCD at two points and is parallel to segment DC. Triangle B C D is cut by line R S. Line R S goes th
Svetlanka [38]

Answer:

The correct options are;

1) ΔBCD is similar to ΔBSR

2) BR/RD = BS/SC

3) (BR)(SC) = (RD)(BS)

Step-by-step explanation:

1) Given that RS is parallel to DC, we have;

∠BDC = ∠BRS (Angles on the same side of transversal)

Similarly;

∠BCD = ∠BSR (Angles on the same side of transversal)

∠CBD = ∠CBD = (Reflexive property)

Therefore;

ΔBCD ~ ΔBSR Angle, Angle Angle (AAA) rule of congruency

2) Whereby  ΔBCD ~ ΔBSR, we therefore have;

BC/BS = BD/BR → (BS + SC)/BS = (BR + RD)/BR = 1 + SC/BS = RD/BR + 1

1 + SC/BS = 1 + RD/BR = SC/BS = 1 + BR/RD - 1

SC/BS = RD/BR

Inverting both sides

BR/RD = BS/SC

3) From BR/RD = BS/SC the above we have by cross multiplication;

BR/RD = BS/SC gives;

BR × SC = RD × BR → (BR)(SC) = (RD)(BR).

7 0
2 years ago
Are you smart enough to answer
amid [387]

Answer:

I believe that the first answer is A and the second answer is c I'm not that smart but I have hope that it's correct

6 0
2 years ago
Solve for x. -3x + 6 = 2x - 24 A) -30 B) -6 C) 6 D) 30
Crazy boy [7]

The answer is C) 30.

Explanation:

-3x + 6 = 2x -24

6 + 24 = 2x + 3x

30 = 5x

x = 30/5 = 6

6 0
3 years ago
Read 2 more answers
last minute forgot to do it please help and do all of them and I have one more I promise I’ll give you good ratings :D
Zolol [24]

1.) The error is that she attached the

variable with the flat fee (which is

constant) and put the daily rent as a

constant (which is variable).

The correct equation is:

365+125x=250+175x

2.) N=5

3.) k=-35.

Explanation: Solution:

17k-6=37k+4 . 17k-37k=4+6 .

-27k=10 . k=10\cdot(7-2) . k=-35 .

4.)

y =   - \frac{9}{16}

.

5 0
2 years ago
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