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3 years ago

10

The rule in this pattern is add 3. Write the next 4 terms of the pattern. What do you observe about the terms in the pattern? Ex

plain why you think this pattern will continue to be this way.

1 answer:

wel3 years ago

5 0

Answer:

3,6,9,12

Step-by-step explanation:

In this patter each number is 3 numers more than the previos

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For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a

schepotkina [342]

Answer:

The radius of the new cheese ball formed is approximately 6.603 inches.

Step-by-step explanation:

We are given the following in the question:

Radius of three cheese ball = 2 inches, 4 inches, and 6 inches

They were combined to form a new cheese ball.

Thus, we can write

Volume of three cheese balls = Volume of new cheese ball.

Let r be the radius of new cheese ball.

Volume of sphere =

$\displaystyle\frac{4}{3}\pi r^3$

Putting values, we get:

$\displaystyle\frac{4}{3}\pi r_1^3 + \displaystyle\frac{4}{3}\pi r_2^3 +\displaystyle\frac{4}{3}\pi r_3^3 =\displaystyle\frac{4}{3}\pi r^3\\\\\frac{4}{3}\pi(2^3 + 4^3 + 6^3) = \displaystyle\frac{4}{3}\pi r^3\\\\2^3 + 4^3 + 6^3 = r^3\\\Rightarrow 288 = r^3\\\Rightarrow r = (288)^{\frac{1}{3}}\\\Rightarrow r \approx 6.603$

Thus, the radius of the new cheese ball formed is approximately 6.603 inches.

3 0

3 years ago

A bridge has a single lane and is 122 feet long. The weight limit for the bridge is 20 tons. Each car that might be on the bridg

gulaghasi [49]

Answer:

2.8 t ≤ 12 tons , 16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

Step-by-step explanation:

The number of trucks on the bridge = t

Number of cars = 10

Total length of Bridge = 122 ft, and weight = 20 tons

Total length of Car = 7.4 ft, and weight = 1.2 tons

Total length of truck = 16 ft, and weight = 2.8 tons

Now, there are 10 cars on the bridge.

So, total length of bridge covered = 7.4 x 10 = 74 feet

Hence, the available length of bridge for trucks = 122 - 74 = 48 ft

Also, total weight of bridge covered = 1.2 x 10 = 12 tons

Hence, the available weight of bridge for trucks = 20 - 12 = 8 tons

Hence, according to the question:

2.8 t ≤ 12 tons and

16 t ≤ 48 feet are the required inequalities to find the number of trucks t on a bridge.

6 0

3 years ago

Pleaseeeee helpppppppp

Svetach [21]

Answer:

Step-by-step explanation:I need help on my question pls help me

8 0

3 years ago

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I need help with number 5

Zielflug [23.3K]

Answer:

100.34÷2.9=34.6

Step-by-step explanation:

You will need to move the decimal point to the right one place

5 0

4 years ago

Which expression is equivalent to 2 (5) Superscript 4?

VARVARA [1.3K]

Answer:

2 times 5 times 5 times 5 times 5

7 0

3 years ago

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