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Musya8 [376]
3 years ago
14

Sam has worn a green shirt on 10 of the last 20 days. Considering this data, how many times would you expect Sam to wear a green

shirt in the next 12 days?
Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

22

Step-by-step explanation:

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A watch company is developing packaging for its new watch. The designer uses octagons with a base area of 30 in2 and rectangles
bezimeni [28]

Answer:

It's (C) 240in3

Step-by-step explanation:

Volume of the prototype is 250 in.³

5 0
3 years ago
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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
N-5÷2=5 help ASAP PLEASE!!!!!
Alinara [238K]

Answer:

7.5 or 15/2 (Whatever form you need to use)

Step-by-step explanation:

N-5 divided by 2 =5

Combine like terms:

-5 divided by 2= -2.5.

N-2.5=5

Add -2.5 from itself, then do the same to the other side:

N-2.5=5

 +2.5=+2.5 (Adding 2.5 to -2.5 cancels it out)

N=7.5

 

6 0
3 years ago
HELPPPPPPPPP please fast
gtnhenbr [62]

Answer:

B. 1

Step-by-step explanation:

I used a calculator

5 0
3 years ago
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What is the converse of the statement below?<br> “If today is Friday, then tomorrow is Saturday."
Ugo [173]

Answer:

C (Sorry if its incorrect)

Step-by-step explanation:

6 0
3 years ago
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