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Mekhanik [1.2K]
2 years ago
6

Find the exact value of tan(-pi/12)

Mathematics
1 answer:
valentinak56 [21]2 years ago
8 0

Tan(-pi/12) = sqrt(7-4sqrt(3)) = -2 + sqrt(3)


answer: -2 + sqrt(3)

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How many 5-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, if repetition of digits is not allowed? a. 119 c. 2
Sergio [31]

1st digit 1 of 7 numbers

2nd digit 1 of 6 numbers

3rd digit 1 of 5 numbers

4th digit 1 of 4 numbers

5th digit 1 of 3 numbers

7*6*5*4*3 = 2520 combinations

3 0
3 years ago
Read 2 more answers
Fill in the missing work and justification for step 3 when solving 2(x + 1) = 10.
kirill115 [55]

Answer:

2(x + 1) = 10

x = 4

Step-by-step explanation:

Given:

2(x + 1) = 10

Solution:

Apply Distributive property

A*(B+C) = (A*B) + (A*C)

This means multiply 2 with x and 1

2*(x+1) = (2*x) + (2*1)

2x + 2 = 10      

Use Subtraction property of equality

A = B, then A - C = B - C

Subtracting 2 from both sides:

2x + 2 - 2 = 10 - 2

2x = 8                  Step 3

Use Division property of equality

It state that if you divide both sides of an equation by same nonzero number then the sides remain equal

Dividing both sides by 2

2x/2 = 8/2

x = 4

This means value of x is 4

Another method to solve this equation is:

2(x+1)=10  

Use Distributive property

A*(B+C) = (A*B) + (A*C)

2*(x+1) = (2*x) + (2*1)  

2*(x+1) = 2x + 2  

Use commutative property

A + (-B) = (-B) + A

2x + 2 + (-2) = 2x + (-2) + 2

2x + 2 + (-2) = 10 + (-2)

2x + 2 - 2 = 10-2  

2x = 8  

Using division property

AX = B  

AX / A = B / A

So

X = B/A

This becomes:

2x = 8

2x = 8.

Divide both sides by 2  

2x / 2 = 8 / 2  

x = 4

3 0
3 years ago
2m - 3 - 5= -m + 10 please help me
valina [46]

\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}

Let's solve ~

\qquad \sf  \dashrightarrow \: 2m - 3 - 5 =  - m + 10

\qquad \sf  \dashrightarrow \: 2m + m = 10 + 3 + 5

\qquad \sf  \dashrightarrow \: 3m = 18

\qquad \sf  \dashrightarrow \: m = 18 \div 3

\qquad \sf  \dashrightarrow \: m = 6

Hence, value of m is 6

3 0
2 years ago
There are 12000 pupils in a school. Find the ratio of the boys to the girls if the number of girl is 650
My name is Ann [436]
227:13, that’s it in its simplest form.
5 0
3 years ago
Graph this please due today
vaieri [72.5K]

Answer: see last picture

Step-by-step explanation:

We see that the y-intercept is 10 and the slope is -3

so when x = 0, y = 10

Graph this first point (picture 1)

Since the slope is -3, every time you go one unit to the left, you go down 3 units, so graph this second point (picture 2)

Continue this until you have no more room on the graph (picture 3)

now draw a line through the dots (picture 4)

4 0
3 years ago
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