19 POINTS - FIND THE ARC

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

Answer:

6.779 years if the interest rate is in dollars.

Step-by-step explanation:

If its 59 percent, it would be well less than a year.

However, if not, divide 400 by 59.

If so, multiply 2000 by .59 to get the per year interest,

then, divide 400 by 1180 to get the answer of 0.33898

Answer:

Step-by-step explanation:

29 because 9*3 is 27 +2 equals 29

Answer:

29

Step-by-step explanation:

9×3+2=29

Tyra's father is 29

Answer:

3925 units²

Step-by-step explanation:

area of larger circle = πr² = (3.14)(250²) = 196,250

area of smaller circle = πr² = (3.14)(200²) = 125,600

area of full donut = 196,250 - 125,600 = 70,650

20/360 = 1/18 of full donut

1/18(70,650) = 3925 units²

9514 1404 393

Answer:

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Answer:

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4

Answer:

cuarenta y cuatro = 44

Step-by-step explanation:

treinta + catorce = cuarenta y cuatro

30 + 14 = 44

Qué tengas un lindo día

Have a great day

Answer:

BD = 22, DC = 11√3

Step-by-step explanation:

In triangle ABC, ∠B = 45°, ∠C = 90°. Hence:

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

∠A + 45 + 90 = 180

∠A + 135 = 180

∠A = 45°

Using sine rule to find BC:

[tex]\frac{BC}{sinA}=\frac{AB}{sinC} \\\\\frac{BC}{sin45}=\frac{11\sqrt{2} }{sin90} \\\\BC=\frac{11\sqrt{2}*sin45 }{sin90} \\BC=11[/tex]

In triangle BCD, ∠D = 30°, ∠C = 90°. Hence:

∠D + ∠B + ∠C = 180° (sum of angles in a triangle)

∠B + 30 + 90 = 180

∠B + 120 = 180

∠B = 60°

Using sine rule to find BD:

[tex]\frac{BD}{sinC}=\frac{BC}{sinD} \\\\\frac{BD}{sin90} =\frac{11}{sin30} \\\\BD=\frac{11*sin90}{sin30}\\\\BD=22[/tex]

Using sin rule to find DC:

[tex]\frac{DC}{sinB}=\frac{BC}{sinD} \\\\\frac{DC}{sin60} =\frac{11}{sin30} \\\\DC=\frac{11*sin60}{sin30}\\\\DC=11\sqrt{3}[/tex]

Answer:

n=1.5

Step-by-step explanation:

distribute: 1.2n-5.4= 3.4-2(3n-1)

Add numbers]: 1.2 n - 5.4= 5.4-6n

Move terms: 1.2n+6n- 5.4=5.4

Add like terms: 7.2n= 5.4+5.4

Divide both sides of equation by 7.2

Answer n= 1.5

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

Answer:

127.41ft^2

Step-by-step explanation:

Given data

DImension of the square

10ft by 10ft

The perimeter of the square is

=10+10+10+10

=40ft

Hence the amount of the fencing of the circle is 40ft

That is the circumference is 40ft

C=2πr

solve for r

40=2*3.14*r

40=6.28r

r= 40/6.28

r=6.37 ft

Area= πr^2

Area= 3.14*6.37^2

Area= 3.14*40.5769

Area= 127.41ft^2

Answer:

B because 20 cm multiplayer by 9cm equals 180cm

Answer:

4

Step-by-step explanation:

two-thirds = 2/3 (it's easier to write it out in number format)

2/3 = 4/6

So, there are 4 sixths in two-thirds.

Answer:

4 sixths

Step-by-step explanation:

Answer: ok but what is your question lol

Step-by-step explanation:

Answer:

So?

Step-by-step explanation:

Answer:

31.4 ft³

Step-by-step explanation:

Using the relation :

Volume, V = πr²h

Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet

Volume , V = π * 1^2 * 10

V = 1 * 10 * 3.14

V =31.4 feet³

Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³

Answer:

Diagonals bisect each other

I dont see a problem here!!!!!!!!!

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

The answers are 3 and -13

You need to plug 3 and -5 into x

By doing this, you get :

12 - 3^2       and

12 - (-5)^2

those expressions equal

12 - 9

12 - 25

So you get

3

-13

Answer:

0.7

Step-by-step explanation:

Answer: [tex]31.24\ ft[/tex]

Step-by-step explanation:

Given

The height of a man is 5 ft

Distance between man and tree is 42 ft

the angle of elevation is [tex]32^{\circ}[/tex]

Suppose h is the height of the tree

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]

Answer:

P(green) = 1/5

Step-by-step explanation:

P(yellow or blue on board 1) = 2/4 or 1/2

P(yellow or blue on board 2) = 2/5

2/5*2/4 = 4/20

Simplify.

1/5