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alex41 [277]
2 years ago
12

A cone has a diameter of 12 ft and a slant height of 20 ft. Explain whether tripling both dimensions would triple the surface ar

ea.
Mathematics
1 answer:
Ratling [72]2 years ago
8 0
<span>Tripling both dimensions would NOT triple the surface area.  If you triple both dimensions, then the surface area is 9 times as long as the surface area of original cone.</span>
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a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.
spin [16.1K]

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

7 0
2 years ago
Jill just got her pilot’s license and wants to rent a plane. The Platinum Plane Company charges $180 plus $92 per hour to rent a
Luden [163]

Answer:

5

Step-by-step explanation:

solve equation 180+92x= 250+78x

6 0
2 years ago
At noon, the minute and hour hands overlap. In how many hours will they overlap again?
nadya68 [22]

24 hours

Because 24 hours equals 1 day or one rotation of the clock

7 0
3 years ago
6a_6b+3a+4b pleas help me and cool
Ahat [919]

Answer:

9a - 2b

Step-by-step explanation:

6a - 6b +3a +4b . . . . . . . we assume your _ is supposed to be -

= a(6 +3) +b(-6 +4)

= 9a -2b

8 0
3 years ago
The Apple harvest produced 2,350kg of Apple's. A farmer packs 36 apples in the box. One apple weighs approximately 250 grams how
jenyasd209 [6]

Answer:

Step-by-step explanation:

The total number of apples produced at the apple harvest is 2,350kg.

1 kg = 1000 grams. Therefore,

2350 kg = 2350 × 1000 = 2350000kg

A farmer packs 36 apples in the box. If one apple weighs approximately 250 grams, the total weight of 36 apples would be

36 × 250 = 9000 grams

Therefore, the number of boxes that are needed to pack the apples would be

2350000/9000 = 261.11

It means that 262 boxes would be needed.

5 0
2 years ago
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