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SOVA2 [1]
3 years ago
7

This is a cross-sectional view of candy bar ABC. A candy company wants to create a cylindrical container for candy bar ABC so th

at it is circumscribed about the candy
bar. If AD = 3 cm, what is the smallest diameter of wrapper that will fit the candy bar? 3cm 4cm 5cm
or 6cm

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

The smallest diameter of wrapper that will fit the candy bar is 6 cm

Step-by-step explanation:

The smallest diameter of the wrapper will have to be the length of the line AC.

We can observe that there are two similar triangles present in the shape there.

We have triangle ADE and triangle DCF

They are similar because their left side, base length, and right angle are equal.

We are given the length of the side AD for triangle ADE.

From the rules of similar triangles, we have that side DC will also equal 3 cm. because the two triangles are similar.

Hence AC will be 3cm + 3cm = 6 cm

The smallest diameter of wrapper that will fit the candy bar is 6 cm

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7. A fish tank hold 100 gallons of water and is losing water at a rate of 1 gallons per hour. A second fish tank
djverab [1.8K]

Answer:

B

Step-by-step explanation:

the first fish tank has 100 gallons of water and 1 gallon is removed every hour which makes 100-h

the second tank has 40 gallons in it and 2 gallons are added every hour which makes 40+2h

after 20 hours the second tank will have more gallons than the first tank

this means that 40+2h would be greater than 100-h since it's also asking you "After how many hours will the first tank  have less water than the second?"

4 0
4 years ago
Pls answer my last one to Rodney sold 45,612 copies of his book and Beth sold 45,612 x one half copies of her book. Which statem
Elden [556K]

Answer:

its most likely b

hope this helps!

6 0
3 years ago
HELP!!!!!!!!! ASP
Anarel [89]

Answer:

D

Step-by-step explanation:

What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is  (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.

3 0
3 years ago
Read 2 more answers
A fair coin is flipped twelve times. What is the probability of the coin landing tails up exactly nine times?
seraphim [82]

Answer:

P\left(E\right)=\frac{55}{1024}

Step-by-step explanation:

Given that a fair coin is flipped twelve times.

It means the number of possible sequences of heads and tails would be:

2¹² = 4096

We can determine the number of ways that such a sequence could contain exactly 9 tails is the number of ways of choosing 9 out of 12, using the formula

nCr=\frac{n!}{r!\left(n-r\right)!}

Plug in n = 12 and r = 9

       =\frac{12!}{9!\left(12-9\right)!}

       =\frac{12!}{9!\cdot \:3!}

       =\frac{12\cdot \:11\cdot \:10}{3!}            ∵ \frac{12!}{9!}=12\cdot \:11\cdot \:10

       =\frac{1320}{6}                   ∵ 3!\:=\:3\times 2\times 1=6

       =220

Thus, the probability will be:

P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}

         =\frac{220}{4096}

         =\frac{55}{1024}

Thus, the probability of the coin landing tails up exactly nine times will be:

P\left(E\right)=\frac{55}{1024}

4 0
3 years ago
I had to put two screenshot because it would screenshot the whole question but plz help
Tcecarenko [31]

Answer:

i think its D dont fullly take my word tho

Step-by-step explanation:

3 0
3 years ago
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