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3 years ago

2. (20x4 – 4x3 + 12x2) = (4x2)

Mathematics

1 answer:

olasank [31]3 years ago

3 0

Answer:

the answer to the question is 1/20

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A solid cylindrical metal is melted and recast into cubes of metal of sides 3cm . The base radius of the initial cylindrical met

Orlov [11]

Answer:

Approximately 809 cubes will be made

Step-by-step explanation:

To calculate the number if cubes to be made, we shall need to calculate the volume of both shapes

The volume of the cubes can be calculated using the formula L^3 = 3 * 3 * 3 = 27 cm^3

For the cylinder, the formula of the volume to use is

V = π * r^2 * h

The radius here is 10.5 cm and the height is 63 cm

V = 22/7 * 10.5^2 * 63 = 21,829.5 cm^3

The number of cubes that can be made is calculated by dividing the volume of the cylinder by that of the cube

That is 21,829.5/27 = 808.5 which is 809 to the nearest whole number

6 0

3 years ago

Circle O is shown below. the diagram is not drawn to scale. 73°

zepelin [54]

Answer:
53.5

Explanation:
Since triangle AOB is an isosceles triangle (AO = OB), the base angles of the triangle are 53.5. (180-73 = 107, 107/2 = 53.5)

8 0

3 years ago

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Six stand-up comics, A, B, C, D, E, and F, are to perform on a single evening at a comedy club. The order of performance is

kiruha [24]

Answer:

a) 1/6

b) 1/36

c) 1/720

d) 1/3

Step-by-step explanation:

a) Any of the six comics can perform in the fourth place, so there is one chance in six that Comic F is the one that performs fourth.

$P(F=4th)=1/6$

b) In this case, we have two conditions. Both are independent of each other, so the probability of both happening is the product of the probabilities of each happening individually:

$P(D=4th \&B=2nd)=P(D=4th)\cdot P(B=2nd)=(1/6)\cdot(1/6)=1/36$

c) This combination is one in all possible orders of perform. The amount of combinations of orders is n!=6!=720 possible combinations. So the probability of this specific order is:

$P(F, D, B, A, C, E)=1/720$

d) In this case, of the six possible comics performing in the last place, we calculate the probability of 2 of them being in that place. So the probability is:

$P(C=6th\,or\, E=6th)=2/6=1/3$

8 0

3 years ago

PolarNik [594]

Question 1:

5z – 9 = 36

5z = 45

z = $\frac{45}{5}$

z = 9

Hence, the answer is D.

Question 2:

5(2z + 4) = 0

10z + 20 = 0

10z = -20

z = $\frac{-20}{10}$

z = -2

Hence, the answer is A.

Question 3:

4a + 3(a + 1) = 24

4a + 3a + 3 = 24

7a = 21

a = $\frac{21}{7}$

a = 3

Hence, the answer is B.

Question 4:

3(4x + 5) = 12

12x + 15 = 12

12x = 12 - 15

12x = -3

x = $\frac{-3}{12} = - \frac{1}{4}$

Hence, the answer is A.

Question 5:

4x – 8 – 4x = 9

-8 ≠ 9

Hence, the answer is A.

8 0

3 years ago

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In a class of 20 students:

Artyom0805 [142]

Whats the question? I dont understand whats happenign here.

5 0

3 years ago

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