MATHEMATICS MIDDLE SCHOOL

36 is the same as _____ radians. Round to the nearest hundredth of a radian.
(Points : 2)

Answers

Answer 1
Answer:

Answer:

0.63\ radians

Step-by-step explanation:

we know that

\pi \ radians=180\ degrees

so

by proportion

Convert 36 degrees to radians

(\pi)/(180)(radians)/(degrees)=(x)/(36)(radians)/(degrees)\n \nx=36\pi /180\n \nx=0.63\ radians
Answer 2
Answer: the formula is (degree)x(pi÷180)
36 x pi ÷ 180
0.63 rad

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There are 30 peices of fruit in a bowl and 12 of them are apples. what percentage of the pieces of fruit in the bowl are apples​
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The product of 2 numbers is 20. Their difference is 8. What are the two numbers?

Answers

Answer:

the value of x is 10 and y is 2

Step-by-step explanation:

(x)(y) = 20 \: \: \: \: ..(1) \n x - y = 8 \: \: \: \: \: ..(2) \n x = 8 + y \n (8 + y)(y) = 20 \n 8y + y {}^(2) = 20 \n y {}^(2) + 8y = 20 \n y {}^(2) + 8y - 20 = 0 \n y {}^(2) + 10y - 2y - 20 = 0 \n y(y + 10) - 2(y + 10) = 0 \n (y - 2)(y + 10) \n y - 2 = 0 \: \: \: \:o r \: \: y + 10 = 0 \n y = 2

y = - 10 \n not \: \: \: \: \: possible

now,

put y = 2 in (2)

x - 2 = 8 \n x = 10

Verification

(10)(2) = 20 \n 10 - 2 = 8

Verified

Answer:

10 and 2

Step-by-step explanation:

10 x 2 = 20. If you subtract 10 by 2, it equals 8. Hope this helped!

2/6 < ?select the three fractions that make this comparison true

3/6
2/8
2/4
2/3
1/6

Answers

3/6 . . . . .
Yes.  2 of anything is less than 3 of the same thing ... like sixths. 

2/8 . . . . .
No.  When changed to common denominator, the inequality
would say
                            8/24 <  6/24
and that's not true.

2/4 . . . . .
Yes.  When changed to common denominator,
the inequality would say
                                    4/12 <  6/12
and that's true.

2/3 . . . . .
Yes.  When changed to common denominator,
the inequality would say
                                    2/6 <  4/6
and that's true.

1/6 . . . . .
No.  2 of anything is more than 1 of the same thing ... like sixths.    


2/6 is less than 3/6, 2/4 and 2/3 because  is equvalant to 1/3 and the followings are all greater than 2/6-> 1/3

28. What is the maximum number of real rootsthe equation X5 - 3x3 + 8x – 10 can have? Justify
your answer.

Answers

The maximum number of real roots is 5 because the degree is 5. The fundamental theorem of algebra states that the degree of a polynomial is the number of real solutions. (The degree is the highest exponent of the polynomial)

1/3 ton to the nearest pound

Answers

first you need to know what system is being used. the us system uses what is called a short ton which is 2000 lbs 

the british tend to use the long ton which is 2240 lbs. 

1/3 short ton = 666.66 lbs 
1/3 long ton = 746.59 lbs

What is the greatest common factor of 48 and 84?

Answers

48 -->    48 ÷ 12 = 4

84 ---> 84 ÷ 12 = 7

48 factors ⇒ 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
84 factors ⇒ 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCF ⇒ 12
The greatest common factor (GCF) of 48 and 84 is 2 x 2 x 3 = 12

The factors of 48 are : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

The factors of 84 are : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Sixty percent of Company A’s employees are considered top performers. Fifty five percent of Company A’s employees are in a rigorous training program. Assuming these two statements are true are most of Company A’s employees in the rigorous training program considered top performers?

Answers

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