I purchased a new gaming system on opening night. Sincel amore of the first 100 customers to purchase the system, the store gives me a 20% discount off of the regular cost. Il pay $500 for the gaming system at the discounted price, what is the regular cost of the gamning system?"​

Answer:

1) tan π/4 = 1

2) cos π/4 = 0.7071

3) cot π/4 = 1

4) sin π/4 = 0.7071

5) sec π/4 = 1.4142

6) cosec π/4 = 1.4142

Step-by-step explanation:

Angle π is in radians

But converting to degree, it is;

π = 180˚

Thus; π/4 = 180/4 = 45°

Thus;

1) from calculator; tan π/4 = tan 45° = 1

2) from calculator, cos π/4 = cos 45° = 0.7071

3) cot is equivalent to 1/tan

Thus; cot π/4 = 1/(tan π/4) = 1/tan 45 = 1/1 = 1

4) from calculator, sin π/4 = sin 45° = 0.7071

5) sec in trigonometry is equivalent to 1/cos.

Thus;

sec π/4 = 1/cos π/4 = 1/cos 45° = 1/0.7071 = 1.4142

6) cosec in trigonometry is equivalent to 1/sin

Thus;

cosec π/4 = 1/sin π/4 = 1/sin 45° = 1/0.7071 = 1.4142

Answer:

x=(-3/4)-(5y/4)

Step-by-step explanation:

hello again, the answer is x=(-3/4)-(5y/4). solve using system of equations. please give brainliest

Answer:

Infinitely many solutions

Step-by-step explanation:

=> -16x - 20y = 16 => - 4(4x + 5y) = 12

=> 4x + 5y = 12/(-4) => 4x + 5y = -3 .. (1)

=> 8x + 10y = - 6 => 2(4x + 5y) = - 6

=> 4x + 5y = -6/2 => 4x + 5y = - 3 ...(2)

Note that both the equations come out be same on simplification. It means, we are given with only 1 equation that is 4x + 5y = -3, and since there is nothing more about this, equation would give different values of y for infinitely many random values of x.

Thus,

Equation has infinitely many solutions.

Answer:

Radius = 16cm

Diameter = 32cm

Step-by-step explanation:

The Radius of a circle is half the diameter of the circle. The radius is how far the outside of the circle is from the middle of the circle. To find the Diameter add the radius twice, for example 16+16. Don’t forget your UNIT it is in Centimeters in this case.

The radius is 16

Diamiter is 32

Answer:

9,099 9,505

Step-by-step explanation:

Answer:

First one, Second one, third one, fourth one, and last one

Step-by-step explanation:

All of em but the fourth one...

Answer:

-10

Step-by-step explanation:

4a-2b=10

-1(4a-2b)=-1*10

-4a+2b= - 10

2b - 4a = - 10

Answer:

i dont see an image

Step-by-step explanation:

Answer:

504in3 (cubed)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. Plot each equation + (4/3,0)

Answer:

y=5/2x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-4=5/2(x-(-2))

y-4=5/2(x+2)

y=5/2x+10/2+4

y=5/2x+5+4

y=5/2x+9

Answer:

c = 5/Cos 35

Step-by-step explanation:

We are given the following

m<ACB = 90degrees

m<ABC = 35degrees

The side opposite to m<ABC is AC

BA = hypotenuse

CB = adjacent = 5inches

Required

Equation to solve BA which is c

Using the Pythagoras theorem;

Cos theta = Adjacent/Hypotenuse

Cos m<ABC = CB/BA

Cos m<ABC = 5/c

c = 5/cosm<ABC

c = 5/Cos 35

Hence the equation that can be used to solve for c is c = 5/Cos 35

Answer:

1) arc JL = 127°

arc JML = 233°

3) arc DE = 104°

arc FE = 76°

arc DEF = 180°

arc CFD = 284°

arc DFE = 256°

Step-by-step explanation:

1) arc JL = 127°

arc JML = 360 - 127 = 233°

3) arc DE =104°

arc FE = 180 - 104 = 76°

arc DEF = 180°

arc CFD = 180 + 104 = 284°

arc DFE = 360 - 104 = 256°

The angles arc measures are,

1) arc JL = 127°

arc JML = 233°

3) arc DE = 104°

arc FE = 76°

arc DEF = 180°

arc CFD = 284°

arc DFE = 256°

An angle of a circle is an angle that is formed between the radii, chords, or tangents of a circle. We saw different types of angles in the Angles section, but in the case of a circle, there, basically, are four types of angles. These are central, inscribed, interior, and exterior angles.

1) arc JL = 127°

arc JML = 360 - 127 = 233°

3) arc DE =104°

arc FE = 180 - 104 = 76°

arc DEF = 180°

arc CFD = 180 + 104 = 284°

arc DFE = 360 - 104 = 256°

To learn more about the angle visit:

https://brainly.com/question/25770607

#SPJ2

Answer:

the slope of the line is -2

Answer:

a = 2/5 or 0.4 (a is the slope value)

Step-by-step explanation:

y-int=-2

x-int=5

| x-int | / | y-int | = slope

|-2| / |5| = 2/5

Answer:

60

Step-by-step explanation:

Use the Pythagorean Theorem to find the height. 13 squared minus 5 squared=144

Square rt= 12

Now use the formula (base times height) divided by 2  

(10 x 12)/2

120/2

60

Answer:11808

Step-by-step: so start by putting the 328 on top of 36 then after multiple 6 by 8 2 and 3 then bring down the answers then do a 0 then multiply 3 by 8 2 and 3 and you get 11808

Answer:

60 cm^3

Step-by-step explanation:

Answer:

102.05 inches squared

Answer:

if BD the bisector of angle ABC,

then Angle ABD = 1/2 * angle ABC

= 1/2 * 48

= 24

Answer:

24 °

Step-by-step explanation:

m< ABD = m< CBD + m< DBA

= 28 ÷ 2 = 24 °

Answer:

Since Darcie wants to crochet a minimum of 3 blankets and she crochets at a rate of 1/5 blanket per day, we can determine how many days she will need to crochet a minimum of 3 blankets following the next steps:

- Finding the number of days needed to crochet one (1) blanket:

\begin{gathered}1=\frac{1}{5}Crochet(Day)\\Crochet(Day)=5*1=5\end{gathered}

1=

5

1

Crochet(Day)

Crochet(Day)=5∗1=5

So, she can crochet 1 blanket every 5 days.

- Finding the number of days needed to crochet three (3) blankets:

If she needs 5 days to crochet 1 blanket, to crochet 3 blankets she will need 15 days because:

\begin{gathered}DaysNeeded=\frac{NumberOfBlankets}{Rate}\\\\DaysNeeded=\frac{3}{\frac{1}{5}}=3*5=15\end{gathered}

DaysNeeded=

Rate

NumberOfBlankets

DaysNeeded=

5

1

3

=3∗5=15

- Writing the inequality

If she has 60 days to crochet a minimum of 3 blankets but she can complete it in 15 days, she can skip crocheting 45 days because:

AvailableDays=60-RequiredDaysAvailableDays=60−RequiredDays

AvailableDays=60-15=45DaysAvailableDays=60−15=45Days

So, the inequality will be:

s\leq 45s≤45

The inequality means that she can skip crocheting a maximum of 45 days since she needs 15 days to crochet a minimum of 3 blankets.

Have a nice day!

Answer:

4

Step-by-step explanation:

389 / 106 = 3.66981132

Since 6 is more than 4, we round up, so 3 ---> 4

Hope that helps!

-Sabrina

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

Answer:

Add all of them together. 1/5 + 2/4 + 4/3 + 3/2 = 53/15 miles

Step-by-step explanation:

1/5 + 2(1/4) + 4(1/3) + 3(1/2)

Answer:

Area would be 110

Answer:

1/64

Step-by-step explanation:

Simplify the following:

1/(4^(11/3)×4^(-2/3))

Hint: | Simplify radicals.

1/4^(2/3) = 1/(4^2)^(1/3) = 1/(2^4)^(1/3) = (1/2^(1/3))/2:

1/(4^(11/3)×(1/2^(1/3))/2)

Hint: | Multiply numerator and denominator of 1/(2 2^(1/3)) by 2^(2/3).

Rationalize the denominator. 1/(2 2^(1/3)) = 1/(2 2^(1/3))×(2^(2/3))/(2^(2/3)) = (2^(2/3))/(2×2):

1/(4^(11/3)×(2^(2/3))/(2×2))

Hint: | Multiply 2 and 2 together.

2×2 = 4:

1/(4^(11/3)×(2^(2/3))/4)

Hint: | Separate the exponent of 4^(-11/3) into integer and fractional parts.

4^(-11/3) = 4^(1/3 - 12/3) = 4^(-12/3)×4^(1/3):

(4^(-12/3) 4^(1/3))/((2^(2/3))/4)

Hint: | Divide 12 by 3.

12/3 = (3 (-4))/3 = 4:

(4^(-4) 4^(1/3))/((2^(2/3))/4)

Hint: | Compute 4^4 by repeated squaring.

4^4 = (4^2)^2:

(4^(1/3))/((2^(2/3))/4) 1/(4^2)^2

Hint: | Evaluate 4^2.

4^2 = 16:

(4^(1/3))/(16^2×(2^(2/3))/4)

Hint: | Evaluate 16^2.

| 1 | 6

× | 1 | 6

| 9 | 6

1 | 6 | 0

2 | 5 | 6:

(4^(1/3))/(256×(2^(2/3))/4)

Hint: | Simplify radicals.

4^(1/3) = (2^2)^(1/3):

1/(256×(2^(2/3))/4) 2^(2/3)

Hint: | Write (2^(2/3))/(256×(2^(2/3))/4) as a single fraction.

Multiply the numerator by the reciprocal of the denominator, (2^(2/3))/(256×(2^(2/3))/4) = (2^(2/3))/256×4/2^(2/3):

(2^(2/3)×4)/(256×2^(2/3))

Hint: | Cancel common terms in the numerator and denominator of (2^(2/3)×4)/(256×2^(2/3)).

(2^(2/3)×4)/(256×2^(2/3)) = (2^(2/3))/(2^(2/3))×4/256 = 4/256:

4/256

Hint: | Reduce 4/256 to lowest terms. Start by finding the GCD of 4 and 256.

The gcd of 4 and 256 is 4, so 4/256 = (4×1)/(4×64) = 4/4×1/64 = 1/64:

Answer: 1/64

Answer:

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Step-by-step explanation:

Base length of the pyramid = 4 inches

Area of the base = [tex]length^{2}[/tex]

                            = [tex]4^{2}[/tex]

                            = 16

Area of its base = 16 [tex]inches^{2}[/tex]

Area of one of its triangular surface = [tex]\frac{1}{2}[/tex] x base x height

                                 = [tex]\frac{1}{2}[/tex] x 4 x 12

                                 = 2 x 12

                                 = 24 [tex]inches^{2}[/tex]

Area of all its four triangular surfaces = 4 x 24

                                                       = 96 [tex]inches^{2}[/tex]

surface area of the pyramid = sum of areas of all its surfaces

                                               = 16 + 96

                                       = 112 [tex]inches^{2}[/tex]

The surface area of the given pyramid is 112 [tex]inches^{2}[/tex].

Required picture attached below :

Answer:

2 1/4 inches

Step-by-step explanation:

From the line plot Given ;

The frequency or number of 3/4 inch button is 3

Therefore, lining up all the 3/4 inch button in the plot, we have :

3/4 + 3/4 + 3/4

(3 + 3 + 3) /4

9 /4

2 1/4 inch

12 3/5 x 30 = 378

Can I get brainliest?

Answer:

378 is the answers it's not hard

Answer: yep

Step-by-step explanation:

Answer:

217+25.5w

ye thats it

Answer:

(r + 20)t = r

Step-by-step explanation:

Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.

From wedding back home. :

Recall : Distance = speed * time

Distance = r * 1 hour

From home to wedding :

Speed = 20 mph more ; r + 20

Time = t

Distance = (r + 20)* t = (r +20)t

Since the distance are the same, we can equate both :

(r + 20)t = r * 1

= (r + 20)t = r