what are the formulas for right triangles​

Answer: (f-g)(x)= -138

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

Since angle ABC is an inscribed angle, its measure is half that of arc AC. Therefore:

[tex]2(3x-1.5)=3x+9 \\\\6x-3=3x+9 \\\\3x-3=9 \\\\3x=12 \\\\x=4 \\\\AC=3(4)+9=12+9=21[/tex]

Hope this helps!

Use the Inscribed Angle theorem to get the measure of AC. The intercepted arc AC is,  21°.

We know that, Inscribed Angle Theorem stated that the measure of an inscribed angle is half the measure of the intercepted arc.

Given that,

The inscribed angle is, (3x - 1.5)

And the Intercepted arc AC is, (3x + 9)

So, We get;

(3x - 1.5) = 1/2 (3x + 9)

2 (3x - 1.5) = (3x + 9)

6x - 3 = 3x + 9

3x =  9 + 3

3x = 12

x = 4

Thus, The Intercepted arc AC is,

(3x + 9) = 3×4 + 9

           = 21°

Learn more about the Inscribed Angle theorem visit:

brainly.com/question/5436956

#SPJ2

Answer:

  [tex]\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}[/tex]

Step-by-step explanation:

[tex]\log{9}+\dfrac{1}{2}\log{x}+\log{(x^3+4)}-\log{6}=\log{\left(\dfrac{9x^{\frac{1}{2}}(x^3+4)}{6}\right)}\\\\=\boxed{\log{\dfrac{3\sqrt{x}(x^3+4)}{2}}}\qquad\text{matches choice A}[/tex]

__

The applicable rules of logarithms are ...

  log(ab) = log(a) +log(b)

  log(a/b) = log(a) -log(b)

  log(a^b) = b·log(a)

Answer:

A

Step-by-step explanation:

Just did it on edge2020

Answer:

$192

Step-by-step explanation:

1: Subtract the discount from 100% then divide the sale price by this number (100%-25%=75%, $144/75%=$192)

hope this helped

Answer:

$192

Step-by-step explanation:

144 is actually 75% from the original price x:

0.75 x=144

x=144/0.75= $192

check : 192*0.25= $ 48 discount

192-48= $ 144 price of the shoe

Answer:

216

Step-by-step explanation:

To find the volume of the pyramid we have to do length * width * height / 3

The length is 9yd

The width is 8yd

The height is 9yd

So 9 * 9 * 8 = 648

648 / 3 = 216

Answer:

Brainleist!

Step-by-step explanation:

12/3.5

3.42857142857

round down so its 3!

Answer:

"It is not a solution because 9 is not greater than 9."

Step-by-step explanation:

[tex]x>9\\[/tex]

If x is 9, then the inequality would be untrue because x must be GREATER than 9 not equal or greater.

Answer:

It is not a solution because 9 is not greater than 9.

Step-by-step explanation:

i took the test and got it right hope it helps :)

Step-by-step explanation:

we can use o as the center of the circle

OB=13

EB=12

OE=?

OE^2 +EB^2=OB^2

OE^2+12^2=13^2

OE^2=169-144

OE=

√25

OE=5

OC=OE+EC

EC =13-5

EC=8

Answer:

$306,956,6268

Step-by-step explanation:

Future value, FV = Present value PV [1 + rate]^t

PV = FV/[1 + rate]^t

PV = 500,000/[1.05]^10

PV = $306,956,6268

Answer:

The value of [tex]x_{1}[/tex] is given by [tex]\frac{10}{3}[/tex]. Hence, the answer is A.

Step-by-step explanation:

This exercise represents a case where the Newton-Raphson method is used, whose formula is used for differentiable function of the form [tex]f(x) = 0[/tex]. The expression is now described:

[tex]x_{n+1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})}}[/tex]

Where:

[tex]x_{n}[/tex] - Current approximation.

[tex]x_{n+1}[/tex] - New approximation.

[tex]f(x_{n})[/tex] - Function evaluated in current approximation.

[tex]f'(x_{n})[/tex] - First derivative of the function evaluated in current approximation.

If [tex]f(x) = x^{2} - 4[/tex], then [tex]f'(x) = 2\cdot x[/tex]. Now, given that [tex]x_{0} = 6[/tex], the function and first derivative evaluated in [tex]x_{o}[/tex] are:

[tex]f(x_{o}) = 6^{2} - 4[/tex]

[tex]f(x_{o}) = 32[/tex]

[tex]f'(x_{o})= 2 \cdot 6[/tex]

[tex]f'(x_{o}) = 12[/tex]

[tex]x_{1} = x_{o} - \frac{f(x_{o})}{f'(x_{o})}[/tex]

[tex]x_{1} = 6 - \frac{32}{12}[/tex]

[tex]x_{1} = 6 - \frac{8}{3}[/tex]

[tex]x_{1} = \frac{18-8}{3}[/tex]

[tex]x_{1} = \frac{10}{3}[/tex]

The value of [tex]x_{1}[/tex] is given by [tex]\frac{10}{3}[/tex]. Hence, the answer is A.

Answer: f(-6) = 10.

Step-by-step explanation: This above equation is the only one that contains both coordinates of one of the ordered pairs in the correct order, so it is the answer.

Answer:

60%

Step-by-step explanation:

In the spinner there are 5 numbers. 3 of them are odd and 2 of them are even and because each number has 1/5 chance of being chosen, you have a 3/5 chance of choosing an odd number. 3/5 = 60/100 = 60%

Answer:

The fourth term is -18

Step-by-step explanation:

an = -2(an-1) +10

This is the recursive formula

a1 = 6

a2 = -2(a1) +10 = -2(6) +10 = -12+10 = -2

a3 = -2(a2) +10 = -2(-2) +10 = 4+10 = 14

a4 = -2(a3) +10 = -2(14) +10 = -28+10 = -18

problem decoded dude

follow meh

Answer:

50%

OR

1/2

Step-by-step explanation:

The box and whisker plot shows the time spent from 4 to 6 hours is Quartile 1 to 3 which makes it 50%.

Answer:

The greatest possible length is 14 cm.

The total number of smaller pieces is 37.

Step-by-step explanation:

The greatest common factor of these three numbers is 14.

Total number of smaller pieces = 10+12+15 = 37

Best Regards!

Answer:

Step-by-step explanation:

Differentiating implicitly, you have ...

  -y²·dx +(4-x)(2y)dy = 3x²·dx

So, the slope is ...

  dy/dx = (3x² +y²)/(2y(4 -x))

At (x, y) = (2, 2), the slope of the curve is ...

  dy/dx = (3·2² +2²)/(2·2(4 -2)) = 16/8 = 2

In point-slope form, the equation of the tangent line is then ...

  y = m(x -h) +k

  y = 2(x -2) +2

  y = 2x -2 . . . . equation of tangent line

__

The normal to the curve is perpendicular to the tangent at the same point. The slope of the perpendicular line is the negative reciprocal of the tangent's slope, so is -1/2.

  y = (-1/2)(x -2) +2

  y = -1/2x +3 . . . equation of normal line

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

[tex]a/3(a/3)[/tex]

[tex]a/3 \div 3/a=1[/tex]

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

Answer:

D. a/3 divided by 3/a = 1

Step-by-step explanation:

edge

Answer:

2π miles

Step-by-step explanation:

2πr is the formula for the circumference of a circle.

Using that formula, the circumference for this circle is 8π.

Since the circle's full angle is 360°, we can use a ratio to find out how long the 45° arc is.

  °    : length

360  :   8π

 9     :  0.4π

45    :  2π

The 45° is 2π mi long.

Answer:

8.5 cm

Step-by-step explanation: The formula for the area of a triangle is base times height divided by 2. To find the original number before dividing by 2 you have to multiply 65.45 times 2, which is 130.9. The length is 15.4 and the original number before dividing by 2 is 130.9 to find the height divide 130.9 by 15.4 which is 8.5. If you plug in the value height is 8.5 cm , length is 15.4 and multiply it and divide it by 2 you will get 65.45.

Answer:

Yes

Step-by-step explanation:

The denominator always stays the same

Good Job!

Hope this helps :)

Answer:

yes 4/7 is the answer

Step-by-step explanation:

2/7+2/7

l.c.m is 7

2+2/7

4/7

Answer:

It would decrease by 9.

Step-by-step explanation:

52 is the original mean or the initial mean.

43 is the final mean.

52-43 = 9

So 9 is the difference.

Hope this helped!

Answer:

  a[1] = 4

  a[n] = -3·a[n-1]

Step-by-step explanation:

The sequence given is not a geometric sequence, since the ratios of terms are -3, -3, 3 -- not a constant.

If we assume that the last given term is supposed to be -108, then the common ratio is -3 and each term is -3 times the previous one. That is expressed in a recursive formula as ...

  a[1] = 4 . . . . . . . . . . .  first term is 4

  a[n] = -3·a[n-1] . . . . . each successive term is -3 times the previous one

Answer:

There are 36 education paths available to Carlos based on the schools around where he lives.

Step-by-step explanation:

Complete Question

Carlos is almost old enough to go to school. Based on where he lives, there are 6 elementary schools, 3 middle schools, and 2 high schools that he has the option of attending. How many different education paths are available to Carlos? Assume he will attend only one of each type of school.

Solution

We can use mathematics or manually writing out the possible combinations of elementary, middle and high school that Carlos can attend.

Using Mathematics

There are 6 elementary schools, meaning Carlos can make his choice in 6 ways.

There are 3 middle schools, meaning Carlos can make his choice in 3 ways.

Together with the elementary school choice, Carlos can make these two choices in 6 × 3 ways.

There are 2 high schools, Carlos can make his choice in 2 ways.

Combined with the elementary and middle school choices, Carlos can make his choices in 6×3×2 ways = 36 ways.

Manually

If we name the 6 elementary schools letters A, B, C, D, E and F.

Name the 3 middle schools letters a, b and c.

Name the 2 high schools numbers 1 and 2.

The different combinations of the 3 choices include

Aa1, Aa2, Ab1, Ab2, Ac1, Ac2

Ba1, Ba2, Bb1, Bb2, Bc1, Bc2

Ca1, Ca2, Cb1, Cb2, Cc1, Cc2

Da1, Da2, Db1, Db2, Dc1, Dc2

Ea1, Ea2, Eb1, Eb2, Ec1, Ec2

Fa1, Fa2, Fb1, Fb2, Fc1, Fc2

Evident now that there are 36 ways in which the 3 stages of schools can be combined. There are 36 education paths available to Carlos based on the schools around where he lives assuming that he will attend only one of each type of school.

Hope this Helps!!!

Answer:

36 education paths

Step-by-step explanation:

Hope this helps!

Answer:

67,365,043,200

Step-by-step explanation:

A coin toss has 2 possible outcomes.  A coin tossed 3 times has 2³ = 8 possible permutations.

A standard die has 6 possible outcomes.  A die rolled 4 times has 6⁴ = 1296 possible permutations.

The number of ways 4 cards can be chosen from a deck of 52 without replacements is 52×51×50×49 = 6,497,400.

The total number of possible outcomes is:

8 × 1296 × 6,497,400 = 67,365,043,200

Answer:

3^4

Step-by-step explanation:

3^2*3^2

3*3*3*3

3^4

Answer:

Solution,

<ABE+<ABC=180

<ABE=180-97

<ABE=83°

<ABC=<ACB=83°

<ABC+<ACB+<CAB=180

<CAB=180-83-83

<CAB=14

<DAC+<CAB=180

<DAC+14=180

<DAC=180-14

<DAC(X)=166°

Hope this helps...

Good luck on your assignment...

Answer:

2√3

Step-by-step explanation:

Step 1: Find perfect square roots

√4 x √3

Step 2: Convert

2 x √3

Step 3: Answer

2√3

Answer:

The number of ways is  [tex]\left 9}\atop } \right. P _5 = 15120[/tex]

Step-by-step explanation:

From the question we are told that

   The number of factories visited is  [tex]n = 9[/tex]

    The number of factories to be visited by a representative  r = 5

The number of way to visit the 5 factories is mathematically represented as

         [tex]\left 9}\atop } \right. P _5 = \frac{9!}{(9-5)!}[/tex]

Where P represents  permutation

  =>   [tex]\left 9}\atop } \right. P _5 = \frac{9 \ !}{4\ !}[/tex]

 =>     [tex]\left 9}\atop } \right. P _5 = \frac{9 *8*7 * 6 * 5 * 4!}{4\ !}[/tex]

=>    [tex]\left 9}\atop } \right. P _5 = 15120[/tex]

Answer:

<C = [tex]38^{o}[/tex]

Step-by-step explanation:

Given that: <AIB = [tex]109^{o}[/tex]

<AIB + <BIX = [tex]180^{o}[/tex] (sum of angles on a straight line)

[tex]109^{o}[/tex] + <BIX =  [tex]180^{o}[/tex]  

<BIX =  [tex]180^{o}[/tex] - [tex]109^{o}[/tex]

<BIX = [tex]71^{o}[/tex]

But,

<AIB = <YIX = [tex]109^{o}[/tex] (opposite angle property)

<XIB = <AIY = [tex]71^{o}[/tex]  (opposite angle property)

Therefore,

[tex]\frac{A}{2}[/tex] + [tex]\frac{B}{2}[/tex] =  [tex]71^{o}[/tex] (Exterior angle property)

[tex]\frac{A + B}{2}[/tex] =  [tex]71^{o}[/tex]

A + B = [tex]142^{o}[/tex]

A + B + C =  [tex]180^{o}[/tex] (sum of angles in a triangle)

 [tex]142^{o}[/tex] + C = [tex]180^{o}[/tex]

C = [tex]180^{o}[/tex] - [tex]142^{o}[/tex]

C = [tex]38^{o}[/tex]

Thus, angle C is [tex]38^{o}[/tex].

Answer: -13

Step-by-step explanation:

c-2y

= -5-2(4)

= -5 - 8

= -13

Answer:

-13

Step-by-step explanation:

[tex]c=-5\\y=4\\c-2y=\\-5-(4*2)=\\-5-8=\\-13[/tex]

The expression is equal to -13 when [tex]c=-5[/tex] and [tex]y=4[/tex].