Find x. Assume that segments that appear tangent are tangent.

Answer:

18/10

Step-by-step explanation:

Answer:

-i, -1, i, 1

I think the previous answer is arranged in the order of correct answers, if that make sense. For example, next to -i, you would put 1.

Also, are you a member of Calvert? Because this layout looks familiar.

The required expressions with their correct simplest form, follow as:

1. (i³)⁵ = - i

2. - i⁶·i³·i⁵ = - 1

3. - (i)⁴·i⁰·i⁷ = 1

4.  (i⁵·i²·i⁸)⁰= 1  

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib,

where a, and b are real numbers and i is an imaginary number.

The expressions are given in the question, as follows:

1. (i³)⁵

= (i)¹⁵

= (i²)⁷ × i

As we know that i² = -1, where i is an imaginary number.

= (-1)⁷ × i

= (-1 ) × i

= - i

Similarly, further expressions are solved below.

2. - i⁶·i³·i⁵

= i⁶·i³·i⁵

=  (i)¹⁴

=  (i²)⁷

=  (-1)⁷

=  (-1)

= - 1

3. - (i)⁴·i⁰·i⁷

= - (i)¹¹

= - (i²)⁵ × i

= - (-1)⁵ × i

= - (-1 ) × i

= - (- i)

= 1

4.  (i⁵·i²·i⁸)⁰

= ((i)¹⁵)⁰

= 1

Thus, the required expressions with their correct simplest form in the above solution part.

Learn more about the complex numbers here:

brainly.com/question/19007885

#SPJ5

Answer:

[tex]\huge \boxed{a = 2b + 6c}[/tex]

Step-by-step explanation:

b = 1/2a - 3c

Add 3c to both sides of the equation.

b + 3c = 1/2a - 3c + 3c

b + 3c = 1/2a

Switch sides.

1/2a = b + 3c

Multiply both sides of the equation by 2.

2(1/2a) = 2(b + 3c)

a = 2b + 6c

Step-by-step explanation:

[tex]b = \frac{1}{2} a- 3c[/tex]

Multiply both sides ✖ of the equation by 2

[tex]2b = a - 6c[/tex]

Move the variable to the left-hand side and change its sign

[tex] - a + 2b = - 6c[/tex]

MOVE THE VARIABLE TO THE RIGHT-HAND SIDE AND CHANGE ITS SIGN

[tex] - a = - 6c - 2b[/tex]

Change the sign on both sides of the equation

[tex]a = 6c + 2b[/tex]

Therefore the answer is

[tex]a = 6c + 2b[/tex]

Answer:

Hey there!

The relationship can be y=3x.

Let me know if this helps :)

Answer:

Height= 8341.6 feet

Step-by-step explanation:

A surveyor determined the height of the new summit by measuring the angle of elevation to the top to be 37°46'. She then moved 1000 feet closer to the volcano and measured the angle of elevation to be 40°30'.

40°30'= 40.5°

37°46'= 37.767°

b = 180-40.5

b= 139.5°

a= 180-139.5-37.767

a= 2.733°

Using sine method

1000/Sina= y/sinB

1000/sin 2.733= y/sin 139.5

(1000*sin 139.5)/sin 2.733= y

(1000*0.6494)/0.04768= y

13619.96= y

Y= 13620 feet

Height/sin 37.767= 13620

Height=13620*sin37.767

Height= 8341.59

Height= 8341.6 feet

Answer:

see below

Step-by-step explanation:

|AB| = | 2 - 5.25| = 3.25

The lines starts at 2 not at 1

Answer:

-37

Step-by-step explanation:

[tex]a_{1}=-2\\a_{n}=2a_{n-1}-3\\a_{2}=2a_{1}-3=2(-2)-3=-4-3=-7\\a_{3}=2a_{2}-3=2(-7)-3=-14-3=-17\\a_{4}=2a_{3}-3=2(-17)-3=-34-3=-37[/tex]

Answer:

80.385

Step-by-step explanation:

It requires you to use trigonometry. First, ask yourself, which of the angle relationship (between sin, cos, tan) that includes the triangle's "x" and "300", from the angle 15°.

It's tan, because in this case, tan 15° = x / 300.

You then set x = 300 tan 15°, type it on calculator, and voila you get the answer.

Answer:

Hey there!

Tangent 15=x/300

Tangent 15(300)=x

x=80.4

Let me know if this helps :)

Answer:

f(x) ≤ -5

Step-by-step explanation:

Answer: hoping the other guy was right lol

Step-by-step explanation:

[tex]2\frac{7}9}[/tex]

[tex](-1\frac{2}{3})^{2}=(-\frac{5}{3})^{2}=\frac{-5^{2}}{3^{2}}=\frac{25}{9}=2\frac{7}9}[/tex]

Answer:

145

Step-by-step explanation:

Rate (no. of pages per hour)

= 87 ÷ 3

= 29

5 hours

= no. of pages per hour × 5

= 29 × 5

= 145

hope it helps :))

Answer:

CCCC!!!!!

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

68,000,000

Step-by-step explanation:

Look at the hundred thousands place. If it's a 5 or higher you round up and if it's lower you round down. Since there is 4 in the hundred thousands place you round down. Everything to the right turns into a zero.

Hi Hello.....How r u......

Answer:

91

Step-by-step explanation:

"When you break the pennies into groups of 2, you have 1 penny left over"

You have an odd number of pennies.

"when you break the pennies into groups of 3, you have 1 penny left over"

The number of pennies is one more than a multiple of 3.

"when you break the pennies into groups of 5, you have 1 penny left over"

A number that is divisible by 5 ends in 0 or 5. You have one more penny than that, so the number will end in 1 or 6. We already know the number is odd, so it cannot end in 6. The number of pennies must end in 1.

"when you break the pennies into groups of 7, you have NO pennies left over"

The number is a multiple of 7.

We need a multiple of 7 that ends in 1.

7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, ...

You could have 91.

Answer:

9/169

Step-by-step explanation:

JQK of 4 suits = 12 cards

12/52x12/52=

3/13x3/13=

9/169

Answer:

Step-by-step explanation:

Given the simultaneous equation 2p - 3q = 4 and 3p + 2q = 9, to get the value of p and q we will use elimination method.

2p - 3q = 4 ...................... 1 * 3

3p + 2q = 9 ..................... 2 * 2

Multiplying equation 1 by 3 and 3 by 2:

6p - 9q = 12

6p + 4q = 18

Subtracting both equation

-9q-4q = 12-18

-13q = -6

q = -6/-13

q = 6/13

Substituting q = 6/13 into equation 2

2p - 3(6/13) = 4

2p - 18/13 = 4

2p = 4+18/13

2p = (52+18)/13

2p = 70/13

p = 70/26

p = 35/13

Hence p = 35/13 and q = 6/13

b) If if 223ₓ = 87 find x

Using the number base system and converting 223ₓ  to base 2 will give us;

223ₓ = 2*x² + 2*x¹ + 3*x⁰

223ₓ  = 2x²+2x+3

​

Substituting back into the equation, 2x²+2x+3 = 87

2x²+2x+3-87 = 0

2x²+2x-84 = 0

x²+x-42 = 0

On factorizing:

(x²+6x)-(7x-42) = 0

x(x+6)-7(x+6) = 0

(x+6)(x-7) = 0

x+6 = 0 and x-7 = 0

x = -6 and 7

Hence the value of x is 7 (neglecting the negative value)

Answer:

disposal earnings I think

Step-by-step explanation:

it is the legal deduction of money by the government I think

Answer:

x=31

Step-by-step explanation:

Answer:

The answer is B

..........

Answer:(2,16),(3,24),(4,32),(5,40)

Step-by-step explanation:

Answer:

7/4 : 3/8

Step-by-step explanation:

nitrogen =1 3/4 =7/4

potash= 3/8

===========================================

Explanation:

The angles 4x and 3x+10 are corresponding angles. They are on the same side of the transversal cut (above the transversal) and to the right of each parallel line.

If the corresponding angles are congruent, then line A is parallel to line B.

4x = 3x+10

4x-3x = 10

x = 10

Answer:

Step-by-step explanation:

Multiply the monomial by each and every term of the polynomial

        = (3ax) (2x) - (3ax) (ax) + (3ax) (5)

 = 6ax^2 - 3a^2x^2 + 15ax

Answer:

[tex] 2ab^2 -d^3 + c [/tex]

Step-by-step explanation:

Given the expression [tex] 2ab^2 - (d^3 - c) [/tex], all you need to do to evaluate the expression is to open the bracket.

Use the negative sign to multiply all the terms within the bracket alongside the sign they carry.

Thus,

[tex] 2ab^2 - (d^3 - c) = 2ab^2 -d^3 + c [/tex] (negative sign multiplied by negative sign equal positive sign)

We cannot evaluate [tex] 2ab^2 -d^3 + c [/tex] further. The me three terms are different from one another. There are no like terms.

Answer:

1. 20%

2. [tex]33.\overline{33}[/tex]

Step-by-step explanation:

We can use percentage proportions to find out these answers.

For number one, 10 is what percent of 50, we already know our two values so we can make the equation:

[tex]\frac{10}{50} = \frac{x}{100}[/tex]

Using the cross products property, we know that x is [tex](100\cdot10)\div50[/tex] which is 20.

So 10 is 20% of 50.

For number two, we know a different pair of two numbers now: we know the percent of x, and the percent it is, so the equation can become:

[tex]\frac{20}{x} = \frac{60}{100}[/tex]

Again, cross products property tells us that x is [tex](100\cdot20)\div60[/tex], which is [tex]33.\overline{33}[/tex].

Hope this helped!

Answer: The 95% confidence interval  to estimate the population mean describes a range of values that a person can be 95% sure that it contains the population mean.

Step-by-step explanation:

A 95% confidence interval for population mean ([tex]\mu[/tex]) is an interval on which a person can be 95% confident that the true population mean lies in it.

i.e. The probability that it contains the true population mean is 95%.

i.e. P( Sample mean- margin of error < [tex]\mu[/tex] < Sample mean + margin of error) = 0.95.

Answer:

Step-by-step explanation:

The problem statement tells you exactly what the transformations are.

The first transformation is reflection across line m.

The second transformation is rotation about point A'.

_____

These are both rigid transformations, so ΔABC ≅ A'B''C''.

Answer:

Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated about point A prime to form triangle A prime B double-prime C double-prime

What is the composition of transformations mapping △ABC to △A'B''C''?

The first transformation is

✔ a reflection across m

.

The second transformation is

✔ a rotation about A'

.

△ABC is

✔ congruent to

△A'B''C''.

Step-by-step explanation:

Answer:

6(3)-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

6x(−3)

Answer:  6 inches

Step-by-step explanation:

Volume (V) = Area of the base (B) × height (h)

Both images have the same volume and the same height, therefore the Area of their bases must be equal to each other.

Area of the triangle

[tex]A=\dfrac{1}{2}\cdot b \cdot h\\\\.\quad=\dfrac{1}{2}\cdot 8 \cdot 9\\\\.\quad= 36[/tex]

Area of a square

A = s²

36 = s²

6 = s