A right triangle △ABC with right angle C is inscribed in a circle. Find the radius of this circle if: Given m∠C = 90°, k(O, r) inscribed in △ABC, AC = 8 cm, BC = 6 cm. Find r.

Hello There!

Slope: 1

Equation: y = x - 2

Let's start by finding the slope. To find the slope of a given equation, subtract the y values over the x values.

y1 - y2 / x1 - x2 ⇒ 3 - 0 / 1 - - 2 ⇒ 3 / 3 ⇒ 1

This means we have a slope value of 1.

Now, to find an equation. We will find the equation in slope intercept form, or y = mx + b. (In this case, m = the slope and b = the y-intercept, and x and y equal your x and y values fro a given point.)

To get the equation, we need to find the value of b, or the y intercept. To do this, we need to plug in the values we know into the equation.

we know m is the slope, and we know the slope is one so we can place that into the equation. We also know the points (0,-2) (3,1). We can place one of them into the equation for the values x and y.

1 = 1(3) + b

Now, simplify.

1 = 1(3) + b

1 = 3 + b

-2 = b

So, our y intercept is -2, we can plug that into the equation, making our final equation y = x - 2. We don't need to put y = 1x for the slope since multiplying something by 1 is doesn't change the number.

I hope this helps! I know my explanation might have been kind of confusing so if you need more help let me know in the comments !

Answer:

y = x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (3, 1)

m = [tex]\frac{1+2}{3-0}[/tex] = [tex]\frac{3}{3}[/tex] = 1

Note the line crosses the y- axis at (0, - 2) ⇒ c = - 2

y = x - 2 ← equation of line

Answer: First Option

The approximate price of a pint of veggies is $1.75

Step-by-step explanation:

if v represents the cost of a pint of cut vegetables and f represents the cost of a pint of cut fruits then the equation that models the cost of "v" vegetables and "f" fruits is:

[tex]hv + 2.85f = z[/tex]

Where z represents the total cost of buying "v" vegetables and a "f" pints of fruits.

h represents the cost  of a pint of cut vegetables .

We know that the cost "z" of 5 vegetables pints and 7 fruits pints is $ 28.70

So:

[tex]v = 5\\f = 7\\z = 28.70[/tex]

We substitute these values ​​into the equation and solve for h.

[tex]h(5) + 2.85(7) = 28.70\\\\5h=28.70-2.85(7)\\\\5h=28.70-19.95\\\\5h=28.70-19.95\\\\h=\frac{8.75}{5}\\\\h=\$\ 1.75[/tex]

Answer: D

Step-by-step explanation:

if the slope is 7, mx + b =y the slope is m. that’s the only one that makes sense. hope this helps!

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = 7, thus

y = 7x + c ← is the partial equation

To find c substitute (1, 2) into the partial equation

2 = 7 + c ⇒ c = 2 - 7 = - 5

y = 7x - 5 → D

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

If we look a the supplied n elements of the sequence, and we divide each of them by -5.

1 = -5, -5/-5 = 1

2 = -10, -10/-5 = 2

3 = -20, -20/-5 = 4

4 = -40, -40/-5 = 8

We realize that we have all the powers of 2 there.

So the formula will start with -5 (the first element), then multiplied by a power of 2.

[tex]x = -5 (2)^{n-1}[/tex]

We can verify for the 4th element, where n = 4:

[tex]x = -5 (2)^{n-1} = -5 (2)^{4-1}  = -5 (2)^{3}  = -5 * 8 = -40[/tex]

Answer:

x = -5 * (2)^(n-1)

Step-by-step explanation:

Answer: B

Step-by-step explanation:

y = azaleas

x = lilies

6y + 5x =196 total cost

y + x = 36 total number of items

y = 36 – x

6(36 -x ) +5x =196

216 – 6x + 5x = 196

-x = 196 – 216

-x = -20

Divide by -1

X = 20 lilies

Plug into y equation

Y = 36 – 20

Y= 16 azaleas

To check

6(16) + 5(20) = 196

96 + 100 = 196

The answer is b 16 because you add the variables into the end of the numbers to identify you answer

If we are talking trigonometry, the answer is 24/32. If they want you to simplify your answer it would be 3/4.

the box is considered a prism

any prism the formula for volume is V=area of the base times height so

the first two boxes have the base of 16 plus the height of 3

so 16*3=48

48*2=96

the other box has the height of 5 so

16*5=80

in total they want the volume of all boxes so

96+80=176

answers B:)

if you need to elaborate lmk

Answer:

(B) 176 ft³

Step-by-step explanation:

Volume of the first box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the second box with 3 feet:

= 16 x 3

= 48 ft³

Volume of the third box with  5 feet:

= 16 x 5

= 80 ft³

Total volume

= 48 + 48 + 80

= 176 ft³

Answer:

Step-by-step explanation:

well let break it down

you have 1/10

you need 4 and 3/10

that can be changed to 43/10 because you need 4 WHOLE or 40/10 (40/10 = 4)

if you can pour 1/10 and you need a total of 43/10, you'd need to use 43 of the 1/10 measuring cups

To measure out 4 3/10 cups of flour using only a 1/10 measuring cup, you would need to fill the 1/10 measuring cup 43 times.

To determine how many 1/10 cups are needed to measure out 4 3/10 cups of flour, start by converting the desired amount into tenths.

4 3/10 cups can be thought of as 4 cups plus 3/10 of a cup, which is equivalent to 40/10 cups plus 3/10 cups, giving us 43/10 cups in total.

Since you only have a 1/10 measuring cup, you would need to use this cup a total of 43 times to get 43/10 cups of flour. Therefore, you would need to use the 1/10 measuring cup 43 times to obtain the necessary flour for the recipe.

Answer:

[tex]\large\boxed{S.A.=100\pi\ cm^3\approx314\pi\ cm^2}[/tex]

Step-by-step explanation:

The formula of a volume of a sphere:

[tex]V=\dfrac{4}{3}\pi R^3[/tex]

R - radius

We have

[tex]V=\dfrac{500}{3}\pi\ cm^3[/tex]

Substitute and solve for R:

[tex]\dfrac{500}{3}\pi=\dfrac{4}{3}\pi R^3[/tex]        divide both sides by π

[tex]\dfrac{500}{3}=\dfrac{4}{3}R^3[/tex]          multiply both sides by 3

[tex]500=4R^3[/tex]                divide both sides by 4

[tex]125=R^3\to R=\sqrt[3]{125}\\\\R=5\ cm[/tex]

The formula of a Surface Area os a sphere:

[tex]S.A.=4\pi R^2[/tex]

Substitute:

[tex]S.A.=4\pi(5^2)=4\pi(25)=100\pi\ cm^2[/tex]

[tex]\pi\apprx3.14\to S.A.\approx(100)(3.14)=314\ cm^2[/tex]

Answer:

C: x=-4

Step-by-step explanation:

I would suggest using the website desmos.com to help you graph your equations.

As shown on the graph I posted, f(x)=g(x) at x=-4

Answer:

Step-by-step explanation:

Given are two functions f(x) and g(x)

[tex]f(x) = \frac{2}{x+3} +1\\[/tex]

and

[tex]g(x) = -|x+3|[/tex]

The two would be equal if

[tex]\frac{2}{x+3} +1=x+3 or -x-3\\\frac{2}{x+3} =x+2 /-x-4\\2=x^2+5x+6/-(x^2+7x+12)\\x^2+5x+6=0 / x^2+7x+14=0[/tex]

x=-4 or -1

Of these x=-4 is consistent as when x=-4, x<-3 hence

|x+3|= 1

So answer is -4

The answer to Number 9 is D and the answer to number 10 is D because in number 9, City P is above 0 and City R is a negative number and below 0. In number 10, Point A is at -20 and Point B is 5 less. That would get you the equation -20-5. -20-5 = -25. On a number line, -25 is less than -20 and would be on the left side of Point A. Hope this helps!

Whatever he or she said is correct

Answer:

There were 10 people in team one.

Step-by-step explanation:

Let x= team one.

Let y= team two

Because there four times less people in team one than in two we know that x=(1/4)y

After 6 people quit and 12 people transfer from team two, the two teams become equal. Therefore, x + 12 = y - 6 - 12.

You can then insert the initial equation for x into the second equation and know that there were 10 people in team one and 40 people in team two.

The process to solve this problem involves setting up an equation based on the given information and solving for x, which represents the original number of people on team one. The numerical answer is 10 people.

Let's denote the original number of people in team one as 'x'. Therefore, since team two had 4 times more people than team one, team two originally had '4x' people. The problem then tells us that 12 people were transferred from team two to team one and 6 people quit team two. This means that team two now has '4x - 12 - 6' people and team one has 'x + 12' people. Because both teams are equal in size after these changes, we can set these two expressions equal to each other. So, 'x + 12' is equal to '4x - 18'. Solving this equation for 'x' gives us x = 10.

So originally, team one had 10 people.

https://brainly.com/question/18262581

#SPJ11

Answer:

the answer is C.  210 sq. cm

Step-by-step explanation:

Find the area of the triangle

The area of one of the triangular faces can be found by using the formula below.  

a = 1/2 bh

a = 1/2 (5 cm) (12 cm)

a = 30 sq. cm

Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.

Next, find the area of each of the three rectangular faces using the formula, area = lw.

1st rectangle

a = lw

a =  (5 cm) (5 cm)

a = 25 sq. cm

2nd rectangle

a = lw

a = (5 cm) (12 cm)

a = 60 sq. cm

3rd rectangle

a = lw

a = (5 cm) (13 cm)

a - 65 sq. cm

Add the three rectangle areas to find a total of 150 sq. cm.

To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.

60 sq. cm + 150 sq. cm = 210 sq. cm

Answer:

I believe the answer is c because 4.5 can fit in BP almost 4 times so it is most accurate sorry if I'm wrong

Answer:

alternate angles

Step-by-step explanation:

the picture shows that there is a the Transversal (When two lines are crossed by another line)

on the inner side of each of those two lines are called Alternate Interior Angles

the definition of alternate angles is if the original two lines are parallel, the alternate angles are equal.

use reapeted addition and keep adding +$0.50 until you get $4.00 for it to be equal with Jason's total which was $4.00

so it will be at 3 miles.

or just multiply micheals total by 3.:) hope it helped!!

Answer:

The fares paid by Michael and Jason will never be equal.

Step-by-step explanation:

Final answer:

Car Manufacturer B does not have the lowest fuel economy rate in the fleet, making this statement false.

Explanation:

Car Manufacturer A:

The median fuel economy rate of Car Manufacturer A is about 7 MPG higher than Car Manufacturer B.

Car Manufacturer A's fleet has a larger range of fuel economy rates than Car Manufacturer B's fleet.

Car Manufacturer B:

The range of the middle half of the rates for both manufacturers is about the same.

One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer.

From the given box-and-whisker plots, it can be observed that the statement 'One of the vehicles in Car Manufacturer B's fleet has the lowest fuel economy rate of either manufacturer' is not true.

ANSWER

[tex]y= - 4x + 18[/tex]

EXPLANATION

The given line has equation;

[tex]y = - 4x + 5[/tex]

The slope of this line is

-4

The given line is parallel to this line so it has the same slope:

[tex]m = - 4[/tex]

The equation of this line is in the form:

[tex]y-y_1=m(x-x_1)[/tex]

We substitute the slope and the point:

(3,6)

[tex]y-6= - 4(x-3)[/tex]

[tex]y= - 4x + 12+ 6[/tex]

[tex]y= - 4x + 18[/tex]

Answer:

Mia bought some tomato plants for $9.98  and some potting soil for $6.89.  

Round each amount to the nearest dollar.  

About how much change did Mia get from $20.00?  

A. about $1

B. about $5

C. about $17

D. about $3

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

$9.98 =$10

$6.89 = $7

10 + 7 =17

20 - 17 = 3

your answer would be d.

Answer:

In the TRUE column:

- 0.65 pound of almonds costs $2.20

- the price per pound of almonds equals $2.20/0.65

That's basically the same information, presented 2 different ways, and they match the info presented in the graph.

In the FALSE column:

- 2.2 pounds of almonds cost $0.65 (nope, wrong numbers)

- Almonds cost $0.65 per pound (nope, they cost $3.38 per pound)

In the CANNOT BE DETERMINED column:

- Each bag of almonds weighs 2.2 pounds. (Cannot be verified, but it's highly unlikely since the price point on the graph is at 0.65 pounds)

Answer: About 5 months

Equation:

t = I / Pr

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = 1.92 / ( 120 × 0.04 ) = 0.4

t = 0.4 years

The time required to

accumulate simple interest of $ 1.92

from a principal of $ 120.00

at an interest rate of 4% per year

is 0.4 years (about 0 years 5 months).

Answer:

46 years

Step-by-step explanation:

We have the logistic growth function [tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]  and we want to find the time when the population will reach 20,000, to do it we just need to replace [tex]f(x)[/tex] with 20,000 and solve for [tex]t[/tex]:

[tex]f(t)=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]

[tex]20,000=\frac{25,000}{1+8.25e^{-0.076t}}[/tex]

Divide both sides by 25,000

[tex]\frac{20,000}{25,000} =\frac{1}{1+8.25e^{-0.076t}}[/tex]

[tex]0.8=\frac{1}{1+8.25e^{-0.076t}}[/tex]

Multiply both sides by [tex]1+8.25e^{-0.076t}[/tex] and divide  them by 0.8

[tex]1+8.25e^{-0.076t}=1.25[/tex]

Subtract 1 from both sides

[tex]8.25e^{-0.076t}=0.25[/tex]

Divide both sides by 8.25

[tex]e^{-0.076t}=\frac{0.25}{8.25}[/tex]

[tex]e^{-0.076t}=\frac{1}{33}[/tex]

Take natural logarithm to both sides

[tex]ln(e^{-0.076t})=ln(\frac{1}{33} )[/tex]

[tex]-0.076t=ln(\frac{1}{33} )[/tex]

Divide both sides by -0.076

[tex]t=\frac{ln(\frac{1}{33} )}{-0.076}[/tex]

[tex]t[/tex] ≈ 46

We can conclude that the population will reach 20,000 after 46 years.

I love unit rate 13/34=0.38 months to write 1 chapter or write 2.62 in one month (34/13)

ANSWER

[tex]g(x) = 9 {x}^{2} [/tex]

EXPLANATION

The given function is:

[tex]f(x) = {x}^{2} [/tex]

The function g(x) is a vertical compression of f(x).

This implies that:

[tex]g(x)=a\bullet f(x)[/tex]

[tex]g(x)=a\bullet {x}^{2} [/tex]

The function g(x) goes through (1,9).

[tex]g(1)=9[/tex]

[tex]a\bullet {(1)}^{2} = 9[/tex]

[tex]a = 9[/tex]

Hence the function is:

[tex]g(x) = 9 {x}^{2} [/tex]

This can be rewritten as:

[tex]g(x) = {(3x)}^{2} [/tex]

The correct choice is A.

Answer: g(x)=(3x)^2

Step by step:Ape

Answer:

option A

1 , 1 , 1 , 1

Step-by-step explanation:

Given in the question a function

f(x) = x²

initial value[tex]x_{0}[/tex] = -1

First iteration

f(-1) = (-1)²= 1

[tex]x_{1} =1[/tex]

Second iteration

f(1) = (1)² = 1

[tex]x_{2} =1[/tex]

Third iteration

f(1) = (1)² = 1

[tex]x_{3} =1[/tex]

Fourth iteration

f(1) = (1)² = 1

[tex]x_{4} =1[/tex]

Answer:

Ф = 10°

Step-by-step explanation:

Regarding arc length, s:  s = r·Ф, where Ф is the central angle in radians and r is the radius.

We need to find the central angle, Ф, in this problem.

We know that C = circumference = 6, and that this leads to r = 6/π.

Substituting 6/π for r and 1/3 for s in Ф = s / r, we get:

Ф in radians = 1/3  /  (6/π), or  Ф = π/18 rad.    

                                                                           π         180°

Converting this into degrees, we multiply    ------ by ----------

                                                                           18        π rad

obtaining:  Ф = 10°

Answer:

20

Step-by-step explanation:

Answer:

It is open if it is greater or less than >

It is closed if it is greater than or equal to  or    less than or equal to > (but with the line underneath it)

Step-by-step explanation:

Answer:

look at the point if it is closed it will look like a dot(10) if not it will look like an empty circle (11)

Step-by-step explanation:

x is greater than or equal to -2

x is less than -2

Answer:

294 Joules.

Step-by-step explanation:

For this all you have to do is use the equation for PE or Potential Energy. Which is given by ... PE = mgh.

m = the mass in kg

g  = the accerlation due to gravity (9.8 m/s^2)

h  = the height of the object in meters.

so... 10 kg (9.8)(3m) = 294 J

Answer:

294!

Step-by-step explanation:

edge 2021 enjoy

Answer:

Step-by-step explanation:

The equation of a circle is:

(x - h)² + (y - k)² = r²

where (h, k) is the center and r is the radius.

So here, the center is (-2, 4), and the radius is 5.

Here's a graph: desmos.com/calculator/5zqdaam1w2

Answer:

Step-by-step explanation:

[tex]t_1=64\\\\t_n=\dfrac{t_{n-1}}{2}\\\\\text{Therefore}\\\\t_2=\dfrac{t_1}{2}\to t_2=\dfrac{64}{2}=32\\\\t_3=\dfrac{t_2}{2}\to t_3=\dfrac{32}{2}=16\\\\t_4=\dfrac{t_3}{2}\to t_4=\dfrac{16}{2}=8\\\\t_5=\dfrac{t_4}{2}\to t_5=\dfrac{8}{2}=4\\\\t_6=\dfrac{t_5}{2}\to t_6=\dfrac{4}{2}=2\\\\t_7=\dfrac{t_6}{2}\to t_7=\dfrac{2}{2}=1\\\vdots[/tex]