convert 135 degrees into radians​

Answer:

17.5

Step-by-step explanation:

Those angles are supplementary, in other words, they add up to 180°

To solve you set the expressions up to 180:

(5x - 30) + 7x = 180

12x - 30 = 180

12x = 210

x = 17.5

Answer:

6 I guessed by looking at the equation

Step-by-step explanation:

Sorry if wrong

Answer:

a. 0.96 = 96% probability that the number is odd.

b. 0.48 = 48% probability that the sum of the digits is odd.

c. 0.24 = 24% probability that the number is greater than 70.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

We are given the prime numbers less than 100, they are:

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

There are 25 prime numbers less than 100.

a. The number is odd

Of the 25, 24 are odd, only the number 2 is even. So

24/25 = 0.96 = 96%

0.96 = 96% probability that the number is odd.

b. The sum of the digits is odd

The sum of the digits is odd for:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89. So for 12 of them

12/25 = 0.48 = 48%

0.48 = 48% probability that the sum of the digits is odd.

c. The number is greater than 70

71, 73, 79, 83, 89, 97. 6 of them

6/25 = 0.24 = 24%

0.24 = 24% probability that the number is greater than 70.

A) The probability that one of the numbers is odd is; 96%

B) The probability that the sum of the digits is odd is; 48%

C) The probability that the number is greater than 70 is; 25%

We are given the prime numbers;

2,3,5,7,11,13,17,19,23,29,31,37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

This is a total of 25 prime numbers.

Thus; N = 25

A) The number of odd numbers are 24.

Thus,probability of selecting an odd number is;

P(odd number) = 24/25

P(odd number) = 0.96 or 96%

B) The numbers that their sum is odd are:

3, 5, 7, 23, 29, 41, 43, 47, 61, 67, 83, 89

Kindly note that the single numbers are added to zero to make them odd too.

Thus there are 12 of them that their sum are odd.

P(sum is odd) = 12/25

P(sum is odd) = 0.48 or 48%

C) The numbers that are greater than 70 from the list are 71, 73, 79, 83, 89, 97. This is a total of 6 numbers.

Thus;

P(number is greater than 70) = 6/25

P(number is greater than 70) = 0.25 or 25%

Read more about probability of selection of numbers at; https://brainly.com/question/251701

Answer:

t = 6√3 mm

Step-by-step explanation:

The angles of the triangle are 30°, 60°, and 90°. That's lucky for you, because the sides of a 30°-60°-90° triangle are always in the ratio 1:√3:2

The side opposite the 90° angle is 12 mm, so the side opposite the 30° angle is 12/2 = 6 mm

t = side opposite the 60° angle = 6√3 mm.

The value of T is 6√3.

One area of mathematics known as trigonometry examines the relationship between the sides and angles of a right triangle. The relationship between sides and angles is defined for 6 trigonometric functions.

We have,

Hypotenuse = 12 mm

Using Trigonometry

sin 60 = P/H

√3/2= P/12

12√3/2= P

P= 6√3

Thus, the value of T is 6√3.

Learn more about Trigonometry here:

https://brainly.com/question/29002217

#SPJ2

Answer:

The ratio of boys to girls is [tex]\frac{16}{20}[/tex]

The simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

The simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Ratio of a to b:

The ratio of a to b is given by:

[tex]\frac{a}{b}[/tex]

Boys to girls:

There are 16 boys and 20 girls.

So the ratio of boys to girls is [tex]\frac{16}{20}[/tex]

Both these numbers can be simplified by 4, 16/4 = 4, 20/4 = 5. So the simplified ratio of boys to girls is [tex]\frac{4}{5}[/tex]

Girls to total students

There are 20 girls and 20 + 16 = 36 total students.

So the ratio of girls to total students is [tex]\frac{20}{36}[/tex]

Both these numbers can be simplified by 4, 20/4 = 5, 36/4 = 9. So the simplified ratio of girls to total students is [tex]\frac{5}{9}[/tex]

Answer:

9:19

Step-by-step explanation:

Total number of students = 28

Number of boys = 19

Number of girls = Total number of students - Number of boys = 28-19 = 9

Therefore, ratio of girls to boys = Number of girls/Number of boys = 9/19 = 9:19

Answer: 9:19

Step-by-step explanation: The total number of students is 28.

Subtract the number of boys, 19

28 - 19 = 9 girls  

Use those numbers for the ratio.  

girls:boys

9:19

Step-by-step explanation:

1. if to evaluate the given experssion, then

7⁶(7²-7+1)=7⁶*43.

2. if to divide this evaluated expression by 43, then

7⁶*43/43=7⁶.

Answer:

0.2 miles

Step-by-step explanation:

Answer:

1/512 or 1/8^3

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

Finding the perimeter consists of adding all sides together. thus 4+10+15=29

The perimeter of a triangle whose sides are 4z units, 10 units, and 15 units,  29 units

Perimeter is a mathematical term, which means total outer boundary of a figure, we define it only for two dimensional figures.

Perimeter = Sum of length of the all the sides

Given that,

The length of sides,

4 units

10 units

15 units

Perimeter = ?

Perimeter  = Total sum of lengths of sides

                 =   4 + 10 + 15

                 =    29 unit

Hence, the perimeter is 29 unit

To know more about Perimeter check:

https://brainly.com/question/6465134

#SPJ5

Hi. 6.3 meters to millimetres is 6300

Answer:

20.3

Step-by-step explanation:

Answer:

Step-by-step explanation:

u=6i-j

v=7i-4j

u.v=|6i-j||7i-4j| cos α,where α is the angle between u & v.

(6i-j).(7i-4j)=√(6²+(-1)²)√(7²+(-4)²) cos α

(6)(7)+(-1)(-4)=√37√65 cos α

42+4=√37√65  cos α

[tex]\cos \alpha =\frac{46}{\sqrt{37} \sqrt{65} } \\\alpha =\cos^{-1}\frac{46}{\sqrt{37} \sqrt{65} } \approx 20.28^\circ \approx 20.3^\circ[/tex]

Answer:

F

Step-by-step explanation:

Answer: I don't know what it means by "equation" but a coordnite plane

its -3,11 0,5 2,1 5,-5 7,-9

Step-by-step explanation:

Answer:

57.1% (to 3 s.f.)

Step-by-step explanation:

12/21 *100

Answer:

9900

Its taxes

dndjndnd

Answer:

$9,900

Step-by-step explanation:

18% is equal to .18

.18 times $55,000 = $9,900

Answer:

[tex]9a^2-4b^2[/tex] is the correct answer.

Step-by-step explanation:

Difference of squares can be written as a^2 - b^2. This is equal to (a - b)(a + b)

In your answers, we see, 9a^2 - 4b^2. They are subtracting which is correct. 9 and 4 can also be rooted. 9 to 3 and 4 to 2 so

[tex]9a^2-4b^2[/tex] can be written as [tex](3a-2b)(3a+2b)[/tex]

The expression that is the difference between the two squares is 9a² - 4b⁶.

The correct option is B.

Mathematical operations like subtraction exist. It is employed to delete words or objects from the phrase.

To find the difference between the two squares,

let a² and b² be the two terms.

So, a² - b² results in (a - b) (a + b).

From the given choices,

9a² - 4b⁶ = (3a)² - (2b³)²

As per the formula the expression can be rewritten as,

(3a - 2b³) (3a + 2b³)

Therefore, the required expression is 9a² - 4b⁶.

To learn more about subtraction;

https://brainly.com/question/2346316

#SPJ2

Answer:

36 questions was answered correctly

Step-by-step explanation:

80 x .45 = 36

Hope this helps

Have a great day :D

Answer:

the 4 kilograms of bananas for 7.48 would be better because 4 kilos. of bananas for 2.06 x4 would be 8.24

Answer:

the answer is D

Step-by-step explanation:

Answer:

I- What? yes?

Step-by-step explanation:

Answer: The first one is nonlinear, the second is nonlinear, and the third is linear.

Step-by-step explanation: The first one is nonlinear because when you calculate slope you get different numbers.

7-4/2-1 = 3/1= 3

4-3/1-0= 1/1= 1

Also when you graph it, it does not become a line. I can attach an image for evidence (Credits to other person who answered and commented on my answer thanks for finding my mistake.)

The second one has an exponent on the x, so it is not linear.

The third is a line so it is linear.

Answer:

Nonlinear, Nonlinear, Linear

Step-by-step explanation:

For if you graph 1 and 2 you will see both are not increasing evenly like a straight line, only the graph 3 shows a linear line.

Answer:

its 7,000

Step-by-step explanation:

its 7,000 because the 5 in the hundreds place is 5 or higher so any that is higher then 5 you add a 1 to the number you rounding and you take it over to the next column.

Answer:

С) 80

вот правильный ответ

Answer:

Step-by-step explanation:

(-1 - 5)/(0 + 3)= -6/3 = -2

y - 5 = -2(x + 3)

y - 5 = -2x - 6

y = -2x - 1