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laiz [17]
2 years ago
14

1. In a 30-60-90 triangle, the length of the hypotenuse is 6. What is the length of the shortest

Mathematics
1 answer:
PIT_PIT [208]2 years ago
3 0

Answer:

b. 3

Step-by-step explanation:

In a 30°-60°-90° triangle, the short side is ½ the hypotenuse [the long side is double the short side].

30°-60°-90° Triangles

x√3 → long side

x → short side

2x → hypotenuse

45°-45°-90° Triangles

x → two legs

x√2 → hypotenuse

I am joyous to assist you anytime.

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Basile [38]

Answer: 20 feet perimeter is the largest allowed

Step-by-step explanation:  width=2.5 length=no more than 3x2.5

so find longest possible length allowed...

2.5x3=7.5

calculate largest perimeter allowed...

2(7.5+2.5)=20

8 0
2 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
She borrows $25.63 from her sister to help pay for the dress. Then Jenny earns $16.33 helping her dad organize his home office.
Lisa [10]
Jenny will owe her $9.30
7 0
3 years ago
Read 2 more answers
If p - 5q = 4qr,<br> p<br> find the value of p when<br> q = 4 and r = -1.
den301095 [7]

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

4 0
2 years ago
I NEED HELP IF YOU DONT KNOW THE ANSWER DONT COMMENT. <br><br> Please help me
Damm [24]

Answer:

Yeah

Step-by-step explanation:

1. understand time management

2. Value time.

3. use time wisely

4. take advantage of the opportunity of extra time.

5. smile, it's all linear! : )

6 0
2 years ago
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