Three fifths is__________pieces of the whole

Answers

Answer 1
Answer: 60 pieces of the whole
3/5 = x/100
5*20 = 100
3*20 = 60

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Radius of a circle with diameter 240mm

Answers

The radius of the circle with the given diameter would be = 120mm.

What is the diameter of the circle?

The diameter of the circle is defined as a line segment that passes through the center of a circle and has two endpoints at the circumference.

The radius is defined as the distance from the centre of a circle to any point on the boundary. The radius:

= Diameter/2

Therefore, the radius of the circle = 240/2 = 120mm

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okay so since we are using diameter the formula for this would be 1/4pie times diameter squared 
geting our answer 45,216

Three consecutive even integers have a sum of 18. Find the integers.

Answers

Let
x = first consecutive even
x + 2 = second consecutive even
x + 4 = third consecutive even

Based on the problem, we equate
x + (x + 2) + (x + 4) = 18
Solving for x,
3x + 6 = 18
3x = 18 - 6
3x = 12
x = 12/3
x = 4
and x + 2 = 4 + 2 = 6
and x + 4 = 4 + 4 = 8

Therefore, the three consecutive even integers are 4, 6, 8.

What is 75 1/3% as a fraction in simplest form

Answers

Step 1

Convert a mixed number in a proper fraction

we know that

75(1)/(3)\%=((75*3+1))/(3) =(226)/(3)\%

therefore

the answer is

(226)/(3)\%

75*3=225+1=226=226/3

Identify the terms and the like terms in this expression 7+ a - 2 + 3a + b​

Answers

Answer:

its the second, third and fifth one

Step-by-step explanation:

cuz it just is

Answer:

2 and 5 are true.

The terms in the expression are 7, a, 2, 3a, b

a and 3a are like terms

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A whole theater has the capacity to hold 1,000 people. On the opening night, the theater was 95% full. What part of the theater was filled on opening night?

Answers

Answer:

950 People

Step-by-step explanation:

If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.

Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.

Express the exact value of csc 60 degrees with a rational denominator?

Answers

csc60^o=(1)/(sin60^o)=(1)/((\sqrt3)/(2))=(2)/(\sqrt3)=(2)/(\sqrt3)\cdot(\sqrt3)/(\sqrt3)=(2\sqrt3)/(3)

Note that the exact value of csc 60° with a rational denominator is (2√3)/3.

How to compute the above

The reciprocal identity states that csc(theta) = 1/sin(θ).

Since we know that sin 60 degrees = √3/2, we can substitute this value into the reciprocal identity   -

csc 60° = 1/(√3/2).

To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator   -

csc 60°= (1/(√3/2)) * (√3/√3).

csc 60° = √3/(√3 * (√3/2)).

= √3/(√3 * √3/2).

= √3/(√9/2).

= √3/(3/2).

To divide by a fraction, we multiply by its reciprocal   -

csc 60° = √3 * (2/3).

csc 60°  = (2√3)/3.

So it is correct to state that , the exact value of csc 60°  with a rational denominator is (2√3)/3.

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