how do you find circumstance of a circle using the area? please help!

Step-by-step explanation:

Hey there!

The equation of line which passes through the point (1,2) is (y-2) = m1(x-1)............(i)

The another given equation is y= 2x + 3.........(ii)

Comparing the equation (ii) with y= mx+c we get;

Slope (m2)= 2.

As per the condition of perpendicular lines, m1*m2 = -1.

m1*2 = -1

Therefore, m1 = -1/2.

Keeping the value of m1 in equation (i) we get;

(y-2) = -1/2(x-1)

y - 2 = -1/2x +1/2

y = -1/2 X + 1/2 + 2

Therefore, the required equation is y = -1/2 X + 5/2.

Hope it helps!

Answer:

60 inches

Step-by-step explanation:

Given data

We have the scale of the drawing as

1cm= 6 inches

Now if 1 cm is equivalent to 6inches

then 10cm will be x inches

Cross multiply we have

x*1= 10*6

x= 60 inches

Hence the length of the actual bed is 60inches

Answer:

[tex]8\%[/tex]

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping [tex]\frac{6}{75}=0.08[/tex] of the total. To convert this to a percentage, multiply by 100: [tex]0.08\implies 0.08\cdot 100=\boxed{8\%}[/tex]

Answer:

3.33 hours

Step-by-step explanation:

Take the total bill minus the flat charge. ($300 - $50 = $250)

Then take that amount and divide by the charge per hour.

($250/$75) = 3.33 hours

Answer:

x = 3 1/3 so approximately 3 hrs

Step-by-step explanation:

50 + 75x = 300

75x = 250

x = 3 1/3

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

(-3)^2-4(-2)(5-k)=0

9+8(5-k)=0

Distribute:

9+40-8k=0

49-8k=0

Add 8k on both sides:

49=8k

Divide both sides by 8"

49/8=k

Answer:

Option (1)

Step-by-step explanation:

If a polynomial is given in the form of f(x) = ax³ + bx² + c

By rational root theorem rational roots of the given polynomial will be,

x = [tex]\frac{\pm \text{Factors of c}}{\pm \text{Factors of a}}[/tex]

Given polynomial in the question is,

f(x) = 66x⁴- 2x³ + 11x²+ 35

Possible rational roots will be,

x = [tex]\frac{\pm \text{factor of 35}}{\pm \text{Facors of 66}}[/tex]

Therefore, Option (1) will be the answer.

Answer:

Step-by-step explanation:

first arrange the data from ascending to decending order

1,5,8,10,11,14,17,19,20,23

Q1=(N+1)/4

=(10+1)/4

=11/4

=2.75

=2 nd item+(3 rd -2 nd)term

=5+(8-5)

=5+3

=8

Q2=(N+1)/2

=(10+1)/2

=11/2

=5.5 term

=(5 th term+6 th term)

=(11+14)/2

=25/2

=12.5

Q3=3(N+1)/4

=3(10+1)/4

=3*11/4

=33/4

=8.25

=8 th term +(9 th -8 th )term

=19+(20-19)

=19+1

=20

Answer:

2.82

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

An exponential has the base at the bottom or top

Answer:

5

Step-by-step explanation:

seven has 5 letters

Answer:

Yes

Step-by-step explanation:

We can make one equation other to the other to solve for x-value first;

=> -4x = x - 5

=> -4x + (-x) = -5

=> -5x = -5

=> x = -5/-5

=> x = 1

Once we have the x-value we can substitute it in for "x" in any equation to find the y-value;

=> y = x - 5

=> y = (1) - 5

=> y = -4

Writing the answer coordinate points would look like (x, y) which would be (1, -4) which is similar to the give, there for yes the solution to the equations is the given coordinate.

Hope this helps!

Answer:

f(g(0) )= -1

Step-by-step explanation:

Find g(0) = -1

Then find f(-1) = 1

f(g(0) )= -1

Answer:

312

Step-by-step explanation:

13 x 24 = 312

Answer:

comment if u have questions

Step-by-step explanation:

a)

10x-6=24

10x=30

x=3

b.

10x+5=50

10x=45

x= 45/10 (9/2)

Answer:

this is the correct answer

Answer:

Step-by-step explanation:

4x^2+120x

4x^2+120x=0

4x^2=-120x

4x^2/x=-120

4x=-120

x=-120/4

x=-30

Answer:

side length each 5√2

Step-by-step explanation:

both legs have the same length, as the triangle is a 45 - 90 45

To find one side of the triangle us the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.

cos(A)=adj/hyp

cos(A)=adj/10

adj=cos(A) * 10

adj = 5√2

Step-by-step explanation:

according to the picture☝

Answer:

3x + 9

Step-by-step explanation:

1. combine like terms

x and 2x = 3x

4 + 5 = 9

2. put them together

3x + 9 is your answer.

Hope I helped! have a wonderful day!

Answer:

3x + 9

Step-by-step explanation:

Just add the both the x's together:

2x + x = 3x

Then add the regular numbers together:

4 + 5 = 9

then put the answers together:

3x + 9

Answer:

Volume of the pyramid is 448 cubic meters.

Step-by-step explanation:

Volume of the given pyramid = [tex]\frac{1}{3}(\text{Area of the rectangular base})(\text{Height of the pyramid})[/tex]

Area of the rectangular base = Length × Width

                                                = 12 × 16

                                                = 192 m²

Volume of the pyramid = [tex]\frac{1}{3}(192)(7)[/tex]

                                      = 448 m³

Therefore, the volume is 448 cubic meters.

Answer:

263(usually it would say cm or m)²

Step-by-step explanation:

area = l x w

l= 25

w= 19

25 x 19 = 551

thats the area without subtracting the missing area's.

missing area= 9 x 16

=144

since theres 2 areas missing, times it by two

144 x 2

=288

subtract the missing area from the total because its not there.

551 - 288

= 263

Answer:

437.3ft

Step-by-step explanation:

last of sines

a/sin(A) = b/sin(B) = c/sin(C)

sin(90) = 1

the angle between y and 500ft side is 90-29 = 61 degrees.

so,

x/sin(61) = 500/1 = 500

x = 500 × sin(61) = 437.3ft

In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

"Trigonometric ratio is defined as in a right triangle the relation between the ratio of a sides of a triangle and the angle."

Formula used

[tex]sin\theta = \frac{opposite sides}{hypotenuse}[/tex]

[tex]cos\theta = \frac{adjacent sides}{hypotenuse}[/tex]

According to the question,

In a given right triangle ABC,

Hypotenuse [tex]=500 ft[/tex]

Opposite side [tex]= x ft[/tex]

Adjacent side [tex]= y ft[/tex]

As per the diagram drawn,

 [tex]\angle BAC+ 29\° = 90\° \\\\\implies \angle BAC = 90\° -29\° \\\\\implies \angle BAC = 61\°[/tex]

Substitute the value in the above trigonometric ratio formula we get,

[tex]sin61\° = \frac{x}{500}\\\\\implies 0.8747 = \frac{x}{500}\\\\\implies x = 500 \ times 0.8747\\\\\implies x = 437.35 ft[/tex]

[tex]\implies x = 435.4 ft[/tex] (round to nearest tenth)

In trigonometric ratio [tex]cos\theta[/tex] we get,

[tex]cos61\° = \frac{y}{500}\\\\\implies 0.4848 = \frac{y}{500}\\\\\implies y= 500 \ times 0.4848\\\\\implies y = 242.2 ft[/tex]

Hence , In a triangle, value of [tex]x = 437.4[/tex] units (round to nearest tenth) using trigonometric ratio.

Learn more about trigonometric ratio here,

https://brainly.com/question/1201366

#SPJ2

Answer:

Y = -1/4x + 5

Step-by-step explanation:

You need to redo the question and attach the images

it's D!

Answer:

Step-by-step explanation:

Because this is a right triangle and you have all the side values, you can use any of the trig identities to solve for angle N. I'll just use sin (no reason; any of them will work and will give you the correct answer as long as you do it properly!)

sin of an angle is the side opposite the reference angle over the hypotenuse. For us, that looks like this:

[tex]sinN=\frac{12}{37}[/tex] and

sinN = .3243243243 and then hit the 2nd button and then sin to get:

[tex]sin^{-1}([/tex]  and after that set of parenthesis, enter the decimal to get that

N = 18.9 degrees

Answer:

[tex](4+j)-3[/tex]

Step-by-step explanation:

Hope this helps

Answer:

f⁻¹(x) = 1/2x + 7

Step-by-step explanation:

To find the inverse of a function, simply switch x and y and solve for y once more.

f(x) = -2x - 14

x = -2y - 14

x + 14 = -2y

(x + 14)/2 = f⁻¹(x)

1/2x + 7 = f⁻¹(x)

Answer:

maybe 90%?

Step-by-step explanation:

if im wrong im sorry

Answer:

90%

Step-by-step explanation:

[tex]\frac{18}{20} :\frac{y}{100}[/tex]

y × 20 = 18 × 100

20y = 1800

20y ÷ 20 = 1800 ÷ 20

y = 90

2 x 5 x 60

600 ÷ 3 = 300