Given that segment AB is tangent to the circle shown in the diagram centered at point C, determine the value of x

Answer:

loss of ability to understand or express speech, caused by brain damage or  loss or impairment of the power to use or comprehend words usually resulting from brain damage (as from a stroke, head injury, or infection) — see motor aphasia — compare amusia, anarthria.

Step-by-step explanation:

Answer:

Then what is the radius of the circle? Since, the tangent of any point of a line is perpendicular to the radius through the point of contact. Hence, radius of the circle = 8 cm.

Hi

add "x" with "x" and numbers with numbers

5x+3x+2+4 = 8x+6

Answer: [tex]8x+6[/tex]

Add

[tex]5x+3x=8x\\2+4=6\\8x+6[/tex]

Answer:

[tex] \boxed{ \sf{ \bold{2. \: \: x = 6}}}[/tex]

[tex] \boxed{ \bold{ \sf{3. \: \: x = 21}}}[/tex]

Step-by-step explanation:

1. [tex] \sf{3x + 6 = 21}[/tex]

Move constant to right hand side and change its sign

⇒[tex] \sf{3x = 21 - 6}[/tex]

Subtract 6 from 21

⇒[tex] \sf{3x = 15}[/tex]

Divide both sides of the equation by 3

⇒[tex] \sf{ \frac{3x}{3} = \frac{15}{3} }[/tex]

Calculate

⇒[tex] \sf{x = 5}[/tex]

--------------------------------------------------------

2. [tex] \sf{33 = 7x - 9 }[/tex]

Swap the sides of the equation

⇒[tex] \sf{7x - 9 = 33}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{7x = 33 + 9}[/tex]

Add the numbers

⇒[tex] \sf{7x = 42}[/tex]

Divide both sides of the equation by 7

⇒[tex] \sf{ \frac{7x}{7} = \frac{42}{7} }[/tex]

Calculate

⇒[tex] \sf{x = 6}[/tex]

---------------------------------------------------------

3. [tex] \sf{28 = 7 + x}[/tex]

Swap the sides of the equation

⇒[tex] \sf{7 + x = 28}[/tex]

Move constant to right hand side and change it's sign

⇒[tex] \sf{x = 28 - 7}[/tex]

Subtract 7 from 28

⇒[tex] \sf{x = 21}[/tex]

Hope I helped!

Best regards!!

Store A: 1 foot= 42.50÷5 = $8.50

Store B= 1 foot= 49.50÷6 = $8.25

Answer:

Store B has a better buy because the price for 1 foot sandwich is cheaper than Store A.

Answer:

The amount $ 8114.3 is the balance in the account after eleven years

Step-by-step explanation:

From;

A= P(1+r)^n

Where;

A= amount

P= principal

r= interest rate

n= time

A= 5000(1+ 0.045)^11

A= 5000(1.045)^11

A= $ 8114.3

The amount $ 8114.3 is the balance in the account after eleven years.

Answer:

12345 < 54321

21435 > 12534

:

Step-by-step explanation:

Given the digits:

1, 2, 3, 4 and 5

We have to use every digit only once and have to make two different five digit numbers.

Using these 5 numbers only once without repetition, we have many numbers possible.

Let us have a look at a few sets and let us compare them.

Set 1: 12345 and 54321

We can see that 12345 is lesser than 54321.

Therefore, we can write (using lesser than sign):

12345 < 54321

Set 2: 21435 and 12534

We can see that 21435 is greater than  12534.

Therefore, we can write (using greater than sign):

21435 > 12534

gcd  =  6  ⋅  d

Step-by-step explanation:

We have that  

6 d ^2  =  6  ⋅  d  ⋅  d and  18 d  =  3  ⋅  6  ⋅  d  hence the  gcd  =  6  ⋅  d

(Hope this helps <3)

Answer:

= z/12 - 1/3

Step-by-step explanation:

z-4/(4+8)

= z-4/12

= z/12 - 4/12

= z/12 - 1/3

Answer:

A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers. To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers).

FOR EXAMPLE

5/10 = 1/2

HERE 1/2 IS THE SIMPLEST FRACTION

Answer:

It is a function.

Step-by-step explanation:

It is proven via the vertical line test.

Answer:

64

Step-by-step explanation:

I am assuming the -2 is outside the sqrt.

8 = sqrt(v)

v = 64

Answer: Package B is least expensive; Will save $5

Step-by-step explanation:

Package A

$200 for 5 lesson=$40/lesson

Package B

$350 for 10 lesson=$35/lesson

35<40

Package B is least expensive

-------------------------------------------------------

 40 (Package A)- 35 (Package B)

=$5

Answer:

Packages A and C.

Step-by-step explanation:

Answer:

12 pts total

Step-by-step explanation:

Answer:

The four multiple choice are worth 12 points total

To solve this equation, let's factor the left side.

Although you can factor it in different ways, I will show you a trick.

First, forget about the 3 and we have x² - 8x + 5.

Now, multiply the 3 by the constant to get 15.

So we have x² - 8x + 15.

Now factor to get (x - 5)(x - 3).

Now divide each of the constants in the

binomials by the leading coefficient, 3.

So we have (x - 5/3)(x - 3/3).

Simplify to get (x - 5/3)(x - 1).

Now move any denominators in front of the x in the binomial.

Moving the 3 in front of the x, we have 3x.

So our answer is (3x - 5)(x - 1) = 0.

So either 3x - 5 = 0 or x - 1 = 0.

Solving from here, we get x = 5/3 or x = 1.

Answer:

MTTF for the fuses =  62.5

Step-by-step explanation:

Given:

Total fuses = 25

Number of failures = 12

Number of days = 30

Find:

MTTF for the fuses.

Computation:

MTTF for the fuses = Total operation time / Number of failures

MTTF for the fuses =  (25 × 30) / 12

MTTF for the fuses =  62.5

Answer:

D

Step-by-step explanation:

7^2 + 4^2 = [tex]\sqrt{65\\[/tex]

assume it is a triangle and x is the hypotenuse and use Pythagorean theorem

Answer:

D

Step-by-step explanation:

7^2 + 4^2 =

assume it is a triangle and x is the hypotenuse and use Pythagorean theorem

Step-by-step explanation:

Hey, there!!

a. (-12)×(-11)×10

Here, (-)×(-)=(+)

(-12)×(-11)=132

so,

=132×10

=1320.

For b.

(-25)×(-8)×(-2)

(-)×(-)=(+)

(-25)×(-8)=200

so,

=200×(-2) { (+)×(-)=(-)}.

= -400.

Therefore, the answer of a. no. is 1320, and no. b is (-400).

Hope it helps....

Answer:

  $186 million

Step-by-step explanation:

The ratio of costs is ...

  filming : editing = 2 : 1

So, the filming cost as a fraction of the total cost is ...

  filming : total cost = 2 : (2+1) = 2/3

The allocation to filming is ...

  (2/3)($279 million) = $186 million

Answer: she is now 121 feet below sea level.

Step-by-step explanation:

Given, A scientist was in a submarine, 95.7 feet below sea level, studying ocean life.

Over the next ten minutes, she went down 25.3 feet.

Then, she was (95.7+25.3) feet below sea level now.  [we will add both distances ]

Then, she was 121 feet below sea level now.

Hence, she is now 121 feet below sea level.

Same as my answer last time:

Answer:

NO solution

Step-by-step explanation:

log(16x+2) - log(4x+2) = log((16x+2)/(4x+2)).

remove log

(16x+2)/(4x+2) = 2x + 4

multiply both sides by 2x + 1

8x + 1 = (2x + 4)(2x + 1)

distribute

8x + 1 = 4x^2 + 10x + 4

move to one side

4x^2 + 2x + 3 = 0

factor

but you can't

so you try to use quadratic formula, but you find that the discriminate is less than zero.

So there is no solution when x is a real number.

[tex]1\frac{11}{12}[/tex]

[tex]\frac{2}{3}+1\frac{1}{4}=\frac{2}{3}+\frac{5}{4}=\frac{8}{12}+\frac{15}{12}=\\ \\=\frac{8+15}{12}=\frac{23}{12}=1\frac{11}{12}[/tex]

Answer:

width = 12.5

Step-by-step explanation:

rectangular volume = height * width * length

1200 = 4 * w * (20 + 4)

1200 = 4 * w * 24

1200 = 96w

12.5=w

GIVEN:

TO FIND:

ANSWER:

Firstly let us assume ,

Now the equⁿ s becomes ,

=> p - q = 4 . ........(1)

Also , given that:

=> 1/x² - 1/y² = 3/16.

=> p² - q² = 3/16.

=> (p+q)(p-q) = 3/16.

From (1),

=> 4 (p+q) = 13/16.

=> (p+q) = 13/16 × 1/4.

=> p+ q = 13/64.

On adding (1) and (2) ,

=> 2p = 4 + 13/64.

=> 2p = 256+13/64.

=> p = 269/64 × 1/2.

=> p = 269/128.

Now lets find q ,

=> q = 13/64 - 269/128.

=> q = 26-269/128.

=> q = -243/128.

Hence

.°. x = 128/269 , y = -128/243

Answer:

Step-by-step explanation:

Let the number be n

The statement

the difference of a number and eight is written as

n - 8

It's multiplied by 6

That's

6( n - 8)

The result is 12

So we have the final answer as

Hope this helps you

Answer:

3.5

Step-by-step explanation:

I recommend using a calculator. Divide 7/2.

Answer:

100

Step-by-step explanation:

The first 9 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, and 23.

Their sum is 2 + 3 + 5 + 7 + 11 + 13 + 17 + 19 + 23 = 100

Re-writing question 5:

5. Determine if the statement below is true or false. If it is false, rewrite it so it is true. Rewriting √-10 in terms of i results in −10i.

A. This statement is true.

B. This statement is false. Rewriting √-10 in terms of i results in (√10)i.

C. This statement is false. Rewriting √-10 in terms of i results in −10√i.

D. This statement is false. Rewriting √-10 in terms of i results in 10√i.

Answer:

1) C. an imaginary number

2) A. In order for a + bi to be a complex number, b must be nonzero

3) 4

4) -6

5) B. The statement is false. Rewriting √-10 in terms of i results in (√10)i

Step-by-step explanation:

1. When a number can be expressed in the form a+bi where a and b are real numbers, then the number is said to be a complex number.

For example, the following are complex numbers where i = √-1 ;

i. 3 + 5i

ii. 4 - 7i

iii. -3 - 9i

Well, even real numbers are a subset of complex numbers. For example,

=> 5 can be written as 5 + 0i

=> -12 can be written as -12 + 0i

-- But when a and b are non-zero real numbers or at least b is a non-zero real number, then the number is said to be an imaginary number.

-- If a is zero, then the number is a purely imaginary number

-- If b is zero, then the number is a purely real number

2. For a number to be called a complex number;

i. it can be written in the form a + bi where a and b are real numbers,

ii. either a or b, or both, may be zero,

iii. a is the real part of the complex number,

iv. b is the imaginary part of the complex number.

v. it could also be a real number since every real number is also a complex number.

3. Given 4 - 5i

The real part is 4

and the imaginary part is -5

4. Given 7 - 6i

The real part is 7

and the imaginary part is -6

5. Rewrite √-10 in terms of i

Remember that i = √-1

Therefore,

√-10 = √(-1 x 10) = √-1 x √10

=> √-10 = √-1 x √10

=> √-10 = i x √10

=> √-10  = (√10)i

Answer:

Please see steps below

Step-by-step explanation:

Start by writing all trig functions in the equation in terms of their simplest forms using the two basic trig functions: [tex]sin(\alpha) \,\,and\,\,cos(\alpha)[/tex]:

[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)} = \frac{1}{sin(\alpha)}[/tex]

Now work on the left side (which is the most complicated one), trying to simplify it using the properties for adding fractions with different denominators:

[tex]sin(\alpha)+ cos(\alpha)\,\frac{cos(\alpha)}{sin(\alpha)}=sin(\alpha)+\frac{cos^2(\alpha)}{sin(\alpha)} =\frac{sin^2(\alpha)}{sin(\alpha)} +\frac{cos^2(\alpha)}{sin(\alpha)}=\frac{sin^2(\alpha)+cos^2(\alpha)}{sin(\alpha)}=\frac{1}{sin(\alpha)}[/tex]

where in the last step we have used that the Pythagorean identity for:

[tex]sin^2(\alpha)+cos^2{\alpha)=1[/tex]

Notice that we arrived at the expression: [tex]\frac{1}{sin(\alpha)}[/tex], which is exactly what appears on the other side of the initial equation/identity we needed to prove, so the prove has been completed.

Answer:

9:15 am

Step-by-step explanation:

First you know the speed and you know the distance.

So now we have to find the time it took for him to get to school(ignore the waiting time first)

time=10/4=2.5h

now we add the waiting time,

2.5h+0.25h(15minutes is the same as 0.25h)=2.75h

convert 0.75h to minuts,

0.75*60=45minutes

6.30+2.45=9.15am

The boy arrived at school at 8:15 am after cycling for 2.5 hours and waiting for 15 minutes.

Given Distance from the boy's house to school = 10 km

Cycling speed = 4 km/h

Time spent waiting for his friend = 15 minutes

Now calculate the time it took for the boy to cycle the distance from his house to the meeting point, excluding the waiting time.

Distance = Speed × Time

10 km = 4 km/h × Time

Time = 10 km / 4 km/h

Time = 2.5 hours

Now, we need to convert the waiting time from minutes to hours, so we can add it to the cycling time.

Waiting time = 15 minutes / 60 minutes/hour

Waiting time = 0.25 hours

Add the cycling time and waiting time to determine the total time it took for the boy to reach school.

Total time = Cycling time + Waiting time

= 2.5 hours + 0.25 hours

=2.75 hours

We need to determine the arrival time by adding the total time to the departure time.

Arrival time = Departure time + Total time

Arrival time = 6.30 am + 2.75 hours

To calculate the arrival time, we need to consider the minutes and hours separately:

Minutes: 30 minutes + (0.75 hours × 60 minutes/hour)

= 30 minutes + 45 minutes

= 75 minutes

Since 75 minutes is more than an hour, we need to adjust the hours and minutes accordingly.

Adding the hours: 6 + 2 = 8

So, the boy arrived at school at 8:15 am.

Therefore, the boy arrived at school at 8:15 am.

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