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3 years ago

The body of a fish is 4 times the length of

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

Head=3cm

Body=12cm

Tail=5cm

Step-by-step explanation:

H= head

B=body

T=tail

B =4h

T=2+h

Total length= 20cm

20cm = b+t+h

20cm= 4h+(2+h)+h

20cm= 6h+2

18cm=6h

3cm=h

Body 4(3)=12

Tail= 2+3= 5

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5. Find the first, fourth, and tenth terms of the arithmetic

Lubov Fominskaja [6]

The first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

Explanation:

The given rule for the arithmetic sequence is $A(n)=-6+(n-1)(\frac{1}{5} )$

We need to determine the first, fourth and tenth terms of the sequence.

To find the first, fourth and tenth terms, let us substitute $n=1,4,10$ in the general rule for the arithmetic sequence.

To find the first term, substitute $n=1$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(1)=-6+(1-1)(\frac{1}{5} )$

$A(1)=-6+(0)(\frac{1}{5} )$

$A(1)=-6$

Thus, the first term of the arithmetic sequence is -6.

To find the fourth term, substitute $n=4$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(2)=-6+(4-1)(\frac{1}{5} )$

$A(2)=-6+(3)(\frac{1}{5} )$

$A(2)=\frac{-30+3}{5}$

$A(2)=\frac{-27}{5}$

Thus, the fourth term of the arithmetic sequence is $-\frac{27}{5}$

To find the tenth term, substitute $n=10$ in $A(n)=-6+(n-1)(\frac{1}{5} )$ , we get,

$A(10)=-6+(10-1)(\frac{1}{5} )$

$A(10)=-6+(9)(\frac{1}{5} )$

$A(10)=-6+\frac{9}{5}$

$A(10)=-\frac{21}{5}$

Thus, the tenth term of the arithmetic sequence is $-\frac{21}{5}$

Hence, the first, fourth and tenth terms of the arithmetic sequence is $-6, -\frac{27}{5}$ and $-\frac{21}{5}$

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4 years ago

A cylinder with a radius of 4 cm and a height of 6 cm is inside of a sphere with a radius of 10 cm. How much space is inside the

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4 years ago

Write a real world situation that could be modeled by the creation 100 minus 6X equals 160-10 X

nikitadnepr [17]

Answer:

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

Step-by-step explanation:

Consider the provided information.

We need to write a real world situation that could be modeled by the equation 100-6x=160-10x.

You can use any situation to represents this equation.

The left side of the equation consists of a constant and a variable also the right side of the equation consists of a constant and a variable.

Suppose you have $100 and you spent 6 dollar each day, and your friend has $160 and he/she spent $10 each day. After x days you both have equal amount, find the number of days.

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3 years ago

Let the sample space be S = 1, 2 ,3 , 4, 5, 6 suppose those outcomes are equally likely. Compute the probability of the event E

Mekhanik [1.2K]

Given:

Sample space be S = 1, 2 ,3 , 4, 5, 6.

The outcomes are equally likely.

To find:

The probability of the event E ="an even number".

Solution:

We have,

Sample space is S = 1, 2 ,3 , 4, 5, 6.