Find the measure of the indicated angle

Answer:

Center: (9,3)

Radius: 9 units

Step-by-step explanation:

[tex]x^{2} -y^{2} -18x-6y+9=0[/tex]

[tex]x^{2} -18x+81+y^{2} -6y+9=-9+81+9[/tex]

[tex](x-9)^{2} +(y-3)^{2} =81[/tex]

Center: (9,3)

[tex]r^{2} =81[/tex] → [tex]r=9[/tex]

Radius : 9 units

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Answer:

About 4%

Step-by-step explanation:

6x10=60

52x20=1040

5x30=150

5x40=200

1x60=60

Total Points available:1510

Final Exam is 60 points

60/1510=0.0397

The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.

Surface area of a cylinder:  

The surface area of a cylinder of radius r and height h is given by:

[tex]S = 2\pi r^2 + 2\pi rh[/tex]

The cake is 10 inches in  diameter and 4.5 inches tall.

Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].

The height is [tex]h = 4.5[/tex].

How many square inches of frosting  will she need?

This is the surface area, so:

[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]

She will need 298.5 square inches of frosting.

A similar problem can be found at https://brainly.com/question/24332238

Answer:

Step-by-step explanation:

First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]

BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.

Now input the missing values into the formula and solve:

2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]

2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]

45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]

Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]

Answer:

4%

Step-by-step explanation:

(8700 - 7500)/4 = 300

300/7500 = .04

Answer:

a. 50 degrees

b. 130 degrees

c. 180 degrees

d. 230 degrees

a. 50°

b. 130°

c. 180°

d. 230°

geometry, the department of mathematics deals with the shape of individual objects, spatial relationships among various objects, and the properties of surrounding space.

various shapes in geometry have different angle measures. as an example: A triangle is a 3-sided shape and the sum of its 3 interior angles is 180˚ A square, rectangle or quadrilateral are 4-sided shapes, and the sum of their four interior angles is 360˚

Learn more about geometry here

brainly.com/question/25766008

#SPJ2

Answer:

A

Step-by-step explanation:

The answer is A. Answered by Gauthmath

Answer:

Less

Step-by-step explanation:

[tex]6.17 < 6.187 [/tex]

Answer:

It is 28.5m. Hope this helps!! Have a good day..

Answer:

75

Step-by-step explanation:

Let farmar jack collected x eggs, then farmar Tom collect 6x eggs

farmar Tom sold 425 eggs, so he left with 6x-425 eggs, now farmar jack has 3 times of what farmar Tom has, so

3(6x-425)=x

or, x=75

so farmar jack had 75 eggs

Answered by GAUTHMATH

Answer:

1.5 cm

Step-by-step explanation:

Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3

so UV = 3/2 = 1.5 cm

Answer:

z₁ × z₂ = 12·cis(2·π)

Step-by-step explanation:

z₁ = 4·cis(π/2), z₂ = 3·cis(3·π/2)

We have;

z₁ = 4·cis(π/2) = 4·(cos(π/2) + i·sin(π/2))

z₂ = 3·cis(3·π/2) = 3·(cos(3·π/2) + i·sin(3·π/2))

According to De Moivre's Theorem,

z₁ × z₂ = 4×3×(cos(π/2 + 3·π/2) + i·sin(π/2 + 3·π/2)) = 12·(cos(2·π) + i·sin(2·π))

∴ z₁ × z₂ = 12·cis(2·π)

Answer:

Step-by-step explanation:

To make x the subject, isolate x

7x + 8f = E

Subtract 8f from both sides

7x = E - 8f

Divide both sides by 7

[tex]x =\frac{E-8f}{7}[/tex]

Answer:

x = [tex]\frac{E-8f}{7}[/tex]

Step-by-step explanation:

Given

E = 7x + 8f ( subtract 8f from both sides )

E - 8f = 7x ( isolate x by dividing both sides by 7 )

[tex]\frac{E-8f}{7}[/tex] = x

Answer:

A. 1.5 s; 42 ft

Step-by-step explanation:

1.5 sec and will reach a height of 42 feet

that is the vertex

for y=ax^2+bx+c

the x value of teh vertex is  

the y value is found by subsituting the x value of the vertex for x

so

h=-16t^2+48t+6

a=-16

b=48

c=6

x value of vertex is  

subsituting it for x we get

it reaches the max height of 42ft at 1.5 seconds

Answer:

S=(-2, -9)

T=(-8, -9)

U=(-9, -5)

V=(-6, -5)

Step-by-step explanation:

rotating counter clockwise 90 degrees has a simple formula: (-y, x) simply take your ordered pair and rearrange it to match this formula.

ex. (3, 4) would become (-4, 3)

(-y, x) the negative symbol in front of the y means to switch the sign from either positive or negative to its opposite. since there is no symbol in front of the x you keep that numbers sign the same.

Answer:

1 / 276

Step-by-step explanation:

The total Number of balls in the bag = 24

Number of red balls = 2

Assume the number of picks required = 2 and selection is performed without replacement ;

The probability of :

Choosing a red on first pick = (number of red balls / total number of balls) = 2 / 24

After first pick, red balls left = 1 ; total number of balls = 23

Choosing a red on second pick = (number of red balls / total number of balls = 1 / 23

Hence,

(2/24) * (1/23) = 2 / 552 = 1/276

Answer:

m = -3/2

Step-by-step explanation:

To find the slope of the representation, use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

I'll pick (-4, 9) and (-2, 6) in this instance.

[tex]m=\frac{9-6}{-4-(-2)}\\\\m=-\frac{3}{2}[/tex]

Therefore, the slope of the representation is -3/2.

Answer:

-3/2

Step-by-step explanation:

To find the slope, we can use the formula

m = ( y2-y1)/(x2-x1)

    = ( -6 -9)/(6 - -4)

    = (-6-9)/(6+4)

     -15/10

  -3/2

Answer:

a)-2x(x+4x²)+3(x²+2x)

-2x²-8x³+3x²+6x

-2x²+3x²+6x-8x³

x²-8x³+6x

in descending order

-8x³+x²+6x

b)(4x-3)(4x+3)

4x(4x+3)-3(4x+3)

16x²+12x-12x-9

16x²-9

I hope this helps and sorry if it's wrong

Answer:

-9<x<31

Step-by-step explanation:

|11 – xl < 20

There are two solutions, one positive and one negative, remember to flip the inequality for the negative

11-x < 20       and 11 -x > -20

Subtract 11 from each side

11-x-11 <20-11   and 11-x-11 >-20-11

-x <9  and -x > -31

Multiply each side by -1, remembering to flip the inequality

x>-9  and x< 31

-9<x<31

Answer:

English for fast response

Answer:

3 three point baskets

9 two point baskets

4 one point baskets

Step-by-step explanation:

Since you cannot have a 1/3 or 2/3 of a three point basket, finding multiples of threes for the initial two point baskets is the easiest way to start.

Answer:

50 times

Step-by-step explanation:

Assuming a fair coin (probability of heads = 1/2), the expected number of heads (in the sense of mathematical expectations) is 100*1/2 = 50.

Answer:

D

Step-by-step explanation:

Survey is the easiest, best, and fastest way o collect data.

(especially from if it's large)

f(x) = 1/(1 - x)

g(x) = (x - 1)/x

The inverse functions f ⁻¹(x) and g ⁻¹(x), if they exist, are such that

f( f ⁻¹(x) ) = x

g( g ⁻¹(x) ) = x

So we have

f( f ⁻¹(x) ) = 1/(1 - f ⁻¹(x) ) = x

Solve for f ⁻¹(x) :

1 = (1 - f ⁻¹(x) ) x

1 - f ⁻¹(x) = 1/x

f ⁻¹(x) = 1 - 1/x

f ⁻¹(x) = (x - 1)/x

and so f ⁻¹(x) = g(x).

Similarly, you can solve for g ⁻¹(x) :

g( g ⁻¹(x) ) = (g ⁻¹(x) - 1) / g ⁻¹(x) = x

1 - 1/g ⁻¹(x) = x

1/g ⁻¹(x) = 1 - x

g ⁻¹(x) = 1/(1 - x)

So we know f(x) and g(x) are inverses of one another,

f ⁻¹(x) = g(x)

g ⁻¹(x) = f(x)

Then

(a) (f o g)(x) = x

(b) (g o f ⁻¹)(x) = g(g(x)) = (g(x) - 1)/g(x) = 1 - 1/g(x) = 1 - x/(x - 1) = 1/(1 - x)

(c) (f o g ⁻¹)(x) = f(f(x)) = 1/(1 - f(x) ) = 1/(1 - 1/(1 - x)) = 1/(x/(x - 1)) = (x - 1)/x

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Correct!

Answer:

Step-by-step explanation:

Hi there!

[tex]\large\boxed{log_b3b = 1.8397}[/tex]

Keep in mind the following log property:

logₓab = logₓa + logₓb

Thus:

[tex]log_{b}3b = log_{b}3 + log_{b}b\\\\[/tex]

We know the value of log_b3, and a log with the same values for the base equals 1. Thus:

[tex]log_b3b = 0.8397 + 1 = 1.8397[/tex]

Answer:

227.7 hours

Step-by-step explanation:

of means multiply and is means equals

230% * 99 = what

Change the percent to decimal form

2.30 * 99 = what

227.7= what

[tex]\\ \sf\longmapsto 230\%\:of\:99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230}{100}\times 99[/tex]

[tex]\\ \sf\longmapsto \dfrac{230(99)}{100}[/tex]

[tex]\\ \sf\longmapsto \dfrac{22777}{100}[/tex]

[tex]\\ \sf\longmapsto 227.7hours[/tex]

Answer:

3x = 3

Step-by-step explanation:

x + y = 4 × 2

= 2x + 2y = 8

2x + 2y = 8 + x - 2y = -5

3x = 3

Answer:

[tex]y=\displaystyle\frac{3}{2}x-3[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x=0)

We're given:

⇒ x-intercept = 2

⇒ y-intercept = -3

1) Determine the slope (m)

[tex]m=\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex] where two points that fall on the line are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Given the x- and y-intercepts, we can rewrite them as points:

x-intercept = 2

⇒ (2,0)

y-intercept = -3

⇒ (0,-3)

Plug these points into the equation:

[tex]m=\displaystyle\frac{0-(-3)}{2-0}\\\\m=\displaystyle\frac{0+3}{2}\\\\m=\displaystyle\frac{3}{2}[/tex]

Therefore, the slope of the line is [tex]\displaystyle\frac{3}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\displaystyle\frac{3}{2}x+b[/tex]

2) Plug in the y-intercept (b)

[tex]y=\displaystyle\frac{3}{2}x+b[/tex]

We're given the y-intercept: -3. Plug this into [tex]y=\displaystyle\frac{3}{2}x+b[/tex]:

[tex]y=\displaystyle\frac{3}{2}x+(-3)\\\\y=\displaystyle\frac{3}{2}x-3[/tex]

I hope this helps!