A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?

[tex]\text{Given that,}\\\\\cot A = -\dfrac{9}{\sqrt{40}}\\\\\\\implies \tan A = -\dfrac{\sqrt{40}}9\\\\\\\implies \tan^2 A = \dfrac{40}{81}\\\\\\\implies \sec^2 A -1 = \dfrac{40}{81}\\\\\implies \sec^2 A = 1 + \dfrac{40}{81}\\\\\implies \sec^2 A = \dfrac{121}{81}\\\\\implies \sec A = \pm \sqrt{\dfrac{121}{81}}= \pm\dfrac{11}{9}\\\\\\\text{Since the angle A is in quadrant II, the value of sec A will be negative.}\\\\\\\text{Hence,}~ \sec A=-\dfrac{11}{9}[/tex]

Answer:

The coordinates of the focus are [tex](-3,0)[/tex]

Step-by-step explanation:

Since [tex]B^2-4AC=0^2-4(1)(0)=0[/tex], the conic section is a parabola.

Convert general form into standard form by completing the square:

[tex]x^2+6x-4y+5=0[/tex]

[tex]x^2+6x+5=4y[/tex]

[tex]x^2+6x+9=4y+4[/tex]

[tex](x+3)^2=4(y+1)[/tex]

Now that the equation is in the form of [tex](x-h)^2=4p(y-k)[/tex], we can see that [tex]h=-3[/tex] and [tex]k=-1[/tex] which tells us that the vertex is at [tex](-3,-1)[/tex]. To determine the coordinates of the focus, we need to solve the equation [tex]4p=4[/tex] and plug the value of [tex]p=1[/tex] into [tex](h,k+p)[/tex] to get [tex](-3,-1+1)[/tex] which is [tex](-3,0)[/tex].

In conclusion, the coordinates of the focus for the conic section are [tex](-3,0)[/tex].

Answer:

x = 7 & y = 8

Step-by-step explanation:

We know that

Mean = Sum of terms/Total terms

=> Mean = 4 + 6 + x + y + 10/5

=> Mean = 20 + x + y/5

Now,

Median = (n + 1)/2

=> Median = (5 + 1)/2

=> Median = 6/3

=> Median = 3rd term = x

So,

x = 20 + x + y/5

x × 5 = 20 + x + y

5x = 20 + x + y

5x - x = 20 + y

4x = 20 + y

Since x and y are in order so,

Possible outcomes will be 7,8 & 9

(7,8) & (8,9) & (7,9)

Taking x = 7 and y = 8

4(7) = 20 + 8

28 = 28

Hence,

x = 7 and y = 8

Answer:

y=7 x=8

Step-by-step explanation: hope you do well in school

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

7.6%

Step-by-step explanation:

First the decrease

(100-12)%=88%

then the increase

(88)(1.05)=92.4%

The total decrease

(100-92.4)% = 7.6%

Hope this helps

Answer:

if f(x)=2x+1 then insert 6 in x

f(6)=2*6+1

f(6)=13

so the answer is 13

Answer:

Every f(x) shall decrease to 5 times the previous value.

Answer:

1. 50

2. 130

Step-by-step explanation:

If we number the angle opposite 2 as 3 we know that angle 3 is equal to the 130 already provided.

Therefore, resulting in number 2 being equal to angle 3.

If we know that angle 2 and 3 is 130, we should add the numbers together to get 260.

A circle has a degree of 360, so we minus 260 from the 360.

We would get 100, so we divide it by 2.

Thus, angle 1 would be equivalent to 50.

Hope this makes sense :)

Answer:

1) 1750000000000

2) 1750000000000000

Step-by-step explanation:

For definition of trillion and quadrillion.

Answer:

Y=65

X= 50

Step-by-step explanation:

180-115=65

Y=65

65+65=130

180-130=50

X =50

Answer:

<N=<T

<P=<Q

<O=<R

<M=<S

Step-by-step explanation:

they are in order since (N) is the first letter in one triangle then (T) has to be the corresponding angle.

The current flowing in the AC circuit is 0.11 A.

The given parameters:

The impedance of the circuit is calculated as follows;

[tex]Z = \sqrt{R^2 + X_l^2} \\\\Z = \sqrt{500^2 + 220^2} \\\\Z = 546.26 \ ohms[/tex]

The current in the AC circuit is calculated as follows;

[tex]I = \frac{V}{Z} \\\\I = \frac{60}{546.26} \\\\I = 0.11 \ A[/tex]

Thus, the current flowing in the AC circuit is 0.11 A.

Learn more about AC circuit here: https://brainly.com/question/14341432

Answer:

Step-by-step explanation:

Simplify (x+2) (x+10) - (x-5) (x+4).find the numerical value of this expression when x=-3.

Answer:

the result is -9

Hope this helps

Please mark brainlest

Answer:

by the definition of congruence.

Step-by-step explanation:

for plato

Pedro has $13.65 in his wallet left.

Pedro had $14.90 in his wallet.

He spent $1.25 on a drink.

How much does he have left: 14+90 - 1.25 = 13.65

Pedro has $13.65 in his wallet left.

The difference is $1.95.

Problem solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Learn more about Problem solving here: brainly.com/question/23945932

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Answer:

hi there !

The answer is "30/40"

because by dividing each nominator and denominator by "10" it gives 3/4

The stocks are worth $ 1396.29 nine months later.

Using the continuous compounding formula,

[tex]A = Pe^{rt}[/tex] where

Substituting the values of the variables into the equation, we have

[tex]A = Pe^{rt}[/tex]

[tex]A = 1200e^{0.202 X 0.75}\\A = 1200e^{0.1515}\\A = 1200(1.1636)\\A = 1396.29[/tex]

So, the stocks are worth $ 1396.29 nine months later.

Learn more about continuous compounding here:

https://brainly.com/question/24722580

Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

Answer:

1/3

Step-by-step explanation:

there are 6 sides to a die : 1, 2, 3, 4, 5, 6.

as one can interpret, 3 & 4 take up 2 parts of the 6 possible options

each result has equal oppurtunity to occur

so for 3 or 4 to be rolled, there is a 2/6 chance, or 1/3 when simplified

Answer:

d

Step-by-step explanation:

Using the Cosine rule to find ∠ A

cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]

         = [tex]\frac{5.1^2+5.7^2-7.3^2}{2(5.1)(5.7)}[/tex]

         = [tex]\frac{26.01+32.49-53.29}{58.14}[/tex]

         = [tex]\frac{5.21}{58.14}[/tex] , then

∠ A = [tex]cos^{-1}[/tex] ( [tex]\frac{5.21}{58.14}[/tex] ) ≈ 84.9° ( to 1 dec. place )

Answer:

Here is your answer

Step-by-step explanation:

A cubic spline is a spline constructed of piecewise third order polynomials which pass through a set of control points. The second derivative of each polynomial is commonly set to zero at the endpoints since this provides a boundary condition that completes the system of equations.

Answer:

A cubic spline is a spline constructed of piecewise third-order polynomials in which pass through a set of control points. __________________________________________________________

Hope this helps!!

If I am wrong, please tell me, I enjoy learning from my mistakes:)

Answer:

20°

Step-by-step explanation:

∡EFJ = 70°

∡JFK = 90°

So, ∡KFG = 180 - ∡JFK - ∡EFJ = 180 - 90 - 70 = 20°

Answer:

60

Step-by-step explanation:

i put 30 then it said the answer was 60

so, you must have some kind of device for you to make a question on brainly. if you are using your phone, there is probably an already installed calculater app on there. if you don't have one, go to app store or play store and download it. if you are using computer, simply search it. of course, you can also use your phone and just search it on the web.

Answer:

by a new one?????

Step-by-step explanation:

======================================================

Explanation:

Race 1

Let's convert Malcom's distance to inches so we can compare his distance to his sister's.

1 yard = 3 feet

10 yards = 30 feet (multiply both sides by 10)

1 foot = 12 inches

30 feet = 360 inches (multiply both sides by 30)

In Malcom's first race, he ran 360 inches. He has run the furthest compared to his sister who ran 300 inches.

------------------------

Race 2

Convert Malcom's distance from feet to inches.

1 foot = 12 inches

18 feet = 216 inches (multiply both sides by 18)

Malcom runs 216 inches compared to his sister's distance of 180 inches. Malcom is the winner again.

------------------------

Race 3

120 inches = 120/12 = 10 feet

Divide by 12 to convert from inches to feet, or you could have these steps

12 inches = 1 ft

120 inches = 10 feet

after multiplying both sides by 10.

Malcom runs 10 feet compared to 5 feet which his sister runs.

In each race, Malcom has ran the furthest.

Answer:

.....,....................

Check the picture below.  Notice, we didn't go below 0 on the x-axis, assuming the x-axis is the hours, because she couldn't do -1hours, but the area is between 0 - 7 hours.

x = 27

Step-by-step explanation:

The two angles shown are called co-exterior angles and by definition, their sum is equal to 180° so we can write

[tex](3x - 3) + (4x - 6) = 180[/tex]

[tex]\Rightarrow 7x - 9 = 180[/tex]

Simplifying this further, we get

[tex]7x = 189 \Rightarrow x = 27[/tex]

Answer:

you are in the 45 and 56 zone so yes

Step-by-step explanation: