Find the circumference of the circle P. Find the length of arc AB.

Answer:

Identify a, b , and c in the trinomial ax2+bx+c.

Write down all factor pairs of c.

Identify which factor pair from the previous step sum up to b.

Substitute factor pairs into two binomials.

Step-by-step explanation:

Answer: 30°

Step-by-step explanation:

we have to find the angle adjacent with the right angle. For this we use the (-).

At this point, I am guessing you know how to use SOH-CAH-TOA, for this one we use SOH so sin. If you have a calculator set it on degree mode, then plug it in as sin⁻₁(), we put it like that because the missing angle has the given number opposite and the hypotenuse. It solves it and now we get 30 for the answer. I dont know if that made sense, tell me if it didnt so I can explain it better.

Use △GHJ, where A, B, and C are midpoints of the sides

HB=14

Given :

Use △GHJ, where A, B, and C are midpoints of the sides

AC = 3y−5 and HJ = 4y+2

Apply mid point theorem

mid segment = half of base

[tex]AC=\frac{1}{2}(HJ)[/tex]

Now we replace AC and HJ

[tex]AC=\frac{1}{2}(HJ)\\3y-5=\frac{1}{2} (4y+2)\\3y-5=2y+1\\Subtract \; 2y\\1y-5=1\\Add \; 5\\1y=1+5\\y=6[/tex]

B is the midpoint . HB is half of HJ

[tex]HB=\frac{1}{2} HJ\\HB=\frac{1}{2}(4y+2)\\x=6\\HB=\frac{1}{2}(4(6)+2)\\\\HB=\frac{1}{2}(28)\\\\HB=14[/tex]

So the value of HB = 14

Learn more : brainly.com/question/23120373

Answer:

-2, 3

Step-by-step explanation:

We are given the following inequality:

[tex]x + 2 > 7[/tex]

Solving it, we have that its solution is:

[tex]x > 7 - 2[/tex]

[tex]x > 5[/tex]

So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.

Answer: In this problem, you have three unknowns: broadway tickets for the (1) main floor, (2) balcony and (3) mezzanine. To solve algebraic equations, the total number of unknowns must be the same with the number of independent equations. With that, let's formulate these three equations.

Let the 3 unknowns be

x = number of tickets for the main floor

y = number of tickets for the balcony

z = number of tickets for the mezzanine

The independent equations are:

59x+50y+40z=73,785 --> eq 1

x = y+z+435 --> eq 2

y = 78 + 33 z ---> eq 3

Solve the equations simultaneously. Substitute eq3 to eq 2

x = 78+33z+z+435

x = 513+34z --> eq 4

Substitute eq 4 and eq 3 to eq 1

59(513+34z)+50( 78 + 33 z)+40z=73,785

Solve for z using the calculator: z = 11

Use eq 4 to find x: x = 877

Use eq 2 to find y: y = 432

There were 877 main floor tickets, 432 balcony tickets and 11 mezzanine tickets sold.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equations:

Substitute (3) into (2):

Substitute (2) and (4) into (1) and solve for z:

Find x and y:

Answer: 4792.38

Step-by-step explanation: just did it

Answer:

1,1, and 1000

Step-by-step explanation:

Answer:

(10 x 10) x 10 = 1000

Step-by-step explanation:

10 x 10 = 100

100 x 10 = 1000

Answer:

Step-by-step explanation:

hello :

z⁴=1+i      given : z² = t    t is the complex number  so :   z⁴= (z²)² =t²

solve for  t  this equation : t² = 1+i

if : t = x+iy     t² =(x+iy)² = x²+2xiy+(iy)² =x²-y²+2xyi ......     (  i² = -1)

t² = 1+i  means : x²-y²+2xyi = 1+i

you have this system :   x²-y² = 1.....(*)

                                      2xy  = 1.....(**)

slve for   x  and y    you ca add this equation :   ....(***)

( use : t² = 1+i

/t²/ = /1+i/   so :/t/² = /1+i/ .... (√(x²+y²))²=√(1²+1²) =√2  means x²+y² = √2)

the system is :   x²-y² = 1.....(*)

                         2xy  = 1.....(**)

                         x²+y² = √2 ....(***)

add (*) and (***) : 2x²= 1+√2

x² = (√2+1)/2

substrac  (*) and (***)  you have : y² = (√2-1)/2

use (**) the proudect  xy is positif (same sign)  so :

x=√( (√2+1)/2)  and  y = √( (√2-1)/2)   so :  t1 =√( (√2+1)/2)+i√( (√2-1)/2)  

x= -√( (√2+1)/2)  and  y = -√( (√2-1)/2) so :t2= -t1

same method for equation : z² =t1  ..(2 solution )  and z² = t2..(2 solution )

Answer:

The union of two sets contains all the elements contained in either set (or both sets). The complement of a set A contains everything that is not in the set A.

Step-by-step explanation:

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Answer:

Solution given:

x+110°=180[supplementary]

x=180-110=70°

x=70°

Answer:

[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]

Answer:

[tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]

C. n/90 rad/sec.

Answer:

[tex](x,y) = (-1,1)[/tex]

Step-by-step explanation:

Given

[tex]y>-2x - 1[/tex]

[tex]y>x + 2[/tex]

Required

Solve graphically

See attachment for graph;

The black shade represents [tex]y>-2x - 1[/tex]

While the green, represents [tex]y>x + 2[/tex]

Next, determine the intersection points between the two lines

From the attached graph, we have:

[tex](x,y) = (-1,1)[/tex]

Hence, the solution is:[tex](-1,1)[/tex]

Answer:

dfsdfsdfsdfsdfsdf

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

The probability of rolling an odd number = 3/6

The probability of rolling 2 after an odd number =

1/6

3/6 x 1/6 = 3/36

3/36 = 1/12 (after simplified)

Answer:

1 is the out liar

Step-by-step explanation:

This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.

Answer:

Step-by-step explanation:

AB is a tangent to circle o

ABO is a right-angled

AO²=AB²+BO²

[tex]BO=\sqrt{AO^{2}-(AB)^{2})\\}\\\\\sqrt{(8.6)^{2}-(5)^{2} } \\\\=\sqrt{73.96-25} \\\\=\sqrt{48.9} \\\\=6.99\\\\Answer=7[/tex]

hope it helps....

have a great day :)

Answer:

the answer is D because it depends of the velocity

Answer:

µ = 38.2 wpm, = 36.8 wpm

Answer:

38

Step-by-step explanation:

119.32/3.14 since 3.14 is pi and c=pi*d

Answer:

d≈37.98

Step-by-step explanation:

C=2πr

d=2r

Solving for d

d=C

π=119.32

π≈37.98074

Answer:

x = 16

Step-by-step explanation:

First, find hypotenuse using 18 and 16.

Using Pythagorean theorem, it gives 24.08

now use it again with the hypotenuse and (36/2) = 18

This gives us x = 16

Answer:

How can I help you?

5−(x+y)35-(x+y)3

Simplify

Simplify the expression.

−3x−3y+5-3x-3y+5

Answer:

the difference of 5 and the cube of the sum of x and y

Answer:

(9-8) + 8 = 9

Step-by-step explanation:

Answer: Third option

Step-by-step explanation: doing a point giveaway stay tuned!

Answer:

It is a decreasing function for 0 < b < 1.

Step-by-step explanation:

Logarithm function:

The logarithm function is given by:

[tex]F(x) = \log_{b}{(x)}[/tex]

The base b determines if the function increases or decreases.

For 0 < b < 1, the function decreases.

For b > 1, the function increases.

In this question:

By the definition above, it is a decreasing function for 0 < b < 1.

Answer:

(y²-1)²

Step-by-step explanation:

Given:

y⁴ - 2y² + 1

Find:

Factor of given equation

Computation:

y⁴ - 2y² + 1

Change given equation in quadratic equation.

(y²)² - 2(y)²(1) + (-1)²

We know that

(a)² - 2(a)(b) + (b)²

(a-b)²

So,

(y²)² - 2(y)²(1) + (-1)²

(y²-1)²