Three friends share the total cost of a game. Joe pays 30%, Mike pays , and Tony pays the rest.

Which of the following is true?

Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.

Answer:

Step-by-step explanation:

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA[/tex]

we take the LHS so here goes,

[tex](sec A-cosecA)(1+tanA+cotA)=tanAsecA-cotAcosecA\\(\frac{1}{cosA} -\frac{1}{sinA})(1+\frac{sinA}{cosA}+\frac{cosA}{sinA})\\\\(\frac{sinA-cosA}{sinAcosA})(\frac{sinAcosA+sin^2A+cos^2A}{sinAcosA})\\[/tex]

since , [tex]sin^2A+cos^2A=1[/tex]

the identity becomes,

[tex](\frac{sinA-cosA}{sinAcosA})(\frac{1+sinAcosA}{sinAcosA})\\\\(\frac{sinA+sin^2AcosA-cosA-cos^2AsinA}{sin^2Acos^2A})\\\\[/tex]

now, we know,

[tex]sin^2A=1-cos^2A[/tex] and [tex]cos^2A=1-sin^2A[/tex]

the identity becomes,

[tex](\frac{sinA+(1-cos^2A)cosA-cosA-(1-sin^2A)sinA}{sin^2Acos^2A} )\\\\[/tex]

[tex](\frac{sinA+cosA-cos^3A-cosA-sinA+sin^3A}{sin^2Acos^2A})[/tex]

sin A and cos A cancel out it becomes zero

[tex]\frac{sin^3A-cos^3A}{sin^2Acos^2A} \\\\[/tex]

Splitting the denominator the identity becomes

[tex]\frac{sin^3A}{sin^2Acos^2A}-\frac{cos^3A}{sin^2Acos^2A} \\\\\frac{sinA}{cos^2A} - \frac{cosA}{sin^2A} \\\\\frac{sinA}{cosA}(\frac{1}{cosA})-\frac{cosA}{sinA}(\frac{1}{sinA})\\\\[/tex]

Hence,

[tex]tanAsecA-cotAcosecA[/tex]

Answer: $2400

Step-by-step explanation:

Based on the question above, a will be the percentage of tickets that were sold while b will be tickwt sales. Therefore,

a = 75%

b = 75% × $3,200

= 0.75 × $3200.

= $2400

Based on the information above, the amount of tickets sales is $2400

Answer:

0.8%

Step-by-step explanation:

8/1000 x 100%

8/10 = 0.8% or 4/5%

Answer:

0.8%

Step-by-step explanation:

it is the answer answer

Answer:

a. The four sides of the quadrilateral ABCD are equal, therefore, ABCD is a rhombus

b. The equation of the diagonal line AC is y = 5 - x

The equation of the diagonal line BD is y = 5 - x

c. The diagonal lines AC and BD of the quadrilateral ABCD are perpendicular to each other

Step-by-step explanation:

The vertices of the given quadrilateral are;

A(1, 4), B(6, 6), C(4, 1) and D(-1, -1)

a. The length, l, of the sides of the given quadrilateral are given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The length of side AB, with A = (1, 4) and B = (6, 6) gives;

[tex]l_{AB} = \sqrt{\left (6-4 \right )^{2}+\left (6-1 \right )^{2}} = \sqrt{29}[/tex]

The length of side BC, with B = (6, 6) and C = (4, 1) gives;

[tex]l_{BC} = \sqrt{\left (1-6 \right )^{2}+\left (4-6 \right )^{2}} = \sqrt{29}[/tex]

The length of side CD, with C = (4, 1) and D = (-1, -1) gives;

[tex]l_{CD} = \sqrt{\left (-1-1 \right )^{2}+\left (-1-4 \right )^{2}} = \sqrt{29}[/tex]

The length of side DA, with D = (-1, -1) and A = (1,4)   gives;

[tex]l_{DA} = \sqrt{\left (4-(-1) \right )^{2}+\left (1-(-1) \right )^{2}} = \sqrt{29}[/tex]

Therefore, each of the lengths of the sides of the quadrilateral ABCD are equal to √(29), and the quadrilateral ABCD is a rhombus

b. The diagonals are AC and BD

The slope, m, of AC is given by the formula for the slope of a straight line as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore;

[tex]Slope, \, m_{AC} =\dfrac{1-4}{4-1} = -1[/tex]

The equation of the diagonal AC in point and slope form is given as follows;

y - 4 = -1×(x - 1)

y = -x + 1 + 4

The equation of the diagonal AC is y = 5 - x

[tex]Slope, \, m_{BD} =\dfrac{-1-6}{-1-6} = 1[/tex]

The equation of the diagonal BD in point and slope form is given as follows;

y - 6 = 1×(x - 6)

y = x - 6 + 6 = x

The equation of the diagonal BD is y = x

c. Comparing the lines AC and BD with equations, y = 5 - x and y = x, which are straight line equations of the form y = m·x + c, where m = the slope and c = the x intercept, we have;

The slope m for the diagonal AC = -1 and the slope m for the diagonal BD = 1, therefore, the slopes are opposite signs

The point of intersection of the two diagonals is given as follows;

5 - x = x

∴ x = 5/2 = 2.5

y = x = 2.5

The lines intersect at (2.5, 2.5), given that the slopes, m₁ = -1 and m₂ = 1 of the diagonals lines satisfy the condition for perpendicular lines m₁ = -1/m₂, therefore, the diagonals are perpendicular.

Answer:

7

Step-by-step explanation:

First, put them in numerical order: 2, 4, 5, 7, 8, 9, 12

Then cross out one from each side until  you get to the middle

The median of the given data set  7,5, 12, 8, 2,9,4 is 7.

Mode is the highest frequency number while the median is the middle value of a data set after writing either increasing or decreasing manner.

For example;

Set { 1,2,2,3,4,5,6} here mode is 2 and median is 3.

Given the data set,

7,5, 12, 8, 2,9,4

If we write it in increasing order then,

2, 4, 5, 7, 8, 9, 12

Now median is middle value so here 7 is in between 3 - 3 from left and right.

Hence "The median of the given data set  7,5, 12, 8, 2,9,4 is 7".

To learn more about mode and median,

https://brainly.com/question/300591

#SPJ2

Answer:

Cube root of 864 can be represented as 3√864.

Answer:

9.52441

Step-by-step explanation:

[tex] \sqrt[3]{864} [/tex]

[tex] = \sqrt[3]{(9.524 \times 9.524 \times 9.524)} [/tex]

[tex] = 9.52441[/tex]

Answer:

The image of the point is (1, 2)

Step-by-step explanation:

Let us use the rules above to solve the question

∵ The point (-1, -2) is rotated 180° counterclockwise about the origin

→ By using the 2nd rule above change the signs of x and y coordinates

∴ Its image is (1, 2)

∴ The image of the point is (1, 2)

Answer:

(1,2)

Step-by-step explanation:

Answer:

x⁴-196x³+9204x²+32200x+40000

Step-by-step explanation:

(x+2)(x+2)×(x-100)(x-100)=

(x²+4x+4)×(x²-200x+10000)=

(x⁴-200x³+10000x²+4x³-800x²+40000x+4x²-800x+40000)

=x⁴-196x³+9204x²+32200x+40000

x⁴-196x³+9204x²+32200x+40000

Answer:

If two lines are perpendicular and neither one is vertical, then one of the lines has a positive slope, and the other has a negative slope. Hope this helps.

Step-by-step explanation:

to find the number of subscribtion sold we divide the money she made by the price of subscription

monday:

42.80/5.35=8 subscriptions sold

tuesday:

64.20/5.35=12 subscriptions sold

wednesday:

74.90/5.35=14 subscriptions sold

8+12+14=34 subscriptions sold in 3 days

Answer:

34 subscriptions she sold

Answer: 72

Step-by-step explanation:

y=6, z=12

yz=6 x 12=72

Answer: b=30

Step-by-step explanation: add 9 to both sides

b−9+9=21+9

b=30

add 9 from 9 this will cancel out the nine then add 9 to 21 and what ever u get is ur answer b=30

Step-by-step explanation:

b-9=21

  +9

Answer:

7.83 km/h

Step-by-step explanation:

Let v = average speed for first part, v' = average speed for second part.

Given that v' = v - 15, the distance covered by the first part d = 350 km. The distance covered in the second part d' = 470 km - 350 km = 120 km.

Since both parts are covered in the same time,

d = vt and d' = v't = (v - 15)t

So, 350 = vt  (1) and 120 = vt - 15t (2)

substituting vt = 350 into (2), we have

120 = 350 - 15t

collecting like terms, we have

15t = 350 - 120

simplifying, we have

15t = 230

dividing through by 15, we have

t = 230/15

t =  15.33 h

Since d' = v't, then

v' = d'/t

= 120 km/15.33 h

= 7.83 km/h

So, the average speed for the second part of the journey is 7.83 km/h

Answer:

Option A

Step-by-step explanation:

It's a point on the function's graph

Answer:

The sweater costs 10 dollars.

Step-by-step explanation:

We can use proportion to solve this:

[tex] \frac{125 \: dollars}{4250 \: pesos} = \frac{x}{340 \: pesos} \\ \\ \frac{4250x}{4250} = \frac{42500}{4250} \\ \\ x = 10 \\ x = 10 \: dollars[/tex]

Answer:

1/625

Step-by-step explanation:

simply

(-1/5)^4

1/625

Answer:

The answer is 1/625

Step-by-step explanation:

hope this helps

Answer:

15 cans or D

Step-by-step explanation:

so it’s a pattern every 5 days add 3 cans

so Now do a table

5 = 3

10 = 6

15 = 9

20 = 12

25 = 15

Answer:

15  cans

D

Step-by-step explanation:

Set up a proportion.

3 cans / 5 days = x cans / 25 days  

Note: both sides contain the same units on top and the same units on the bottom of each fraction.

3/5 = x / 25                                      Cross multiply

5x = 3*25

5x = 75

x = 75 / 5

x = 15

Answer:

88$

Step-by-step explanation:

Answer:

63 degrees

Step-by-step explanation:

All angles add up to 180

(5x+6) + (4x-6) + (5x-2) = 180

put like terms together

5x+4x+5x + 6-6-2 = 180

14x -2 = 180

add 2 to both sides

14x = 182

divide both sides by 14

x=13

angle G is 5x-2, so if x=13, angle G is 5(13) -2

= 65  -2 = 63 degrees

please give thanks by clicking heart button :)

and crown if right

Answer:

297.3

Step-by-step explanation:

30% of 429 is 128.7

429 which is the original price - 128.7 which is the price off = 297.3

Answer:

$300.30

Step-by-step explanation:

100% - 30% = 70%

429 * 0.70 = 300.30

Therefore the sale price of the ipad is $300.30!

Please mark brainliest and have a nice day!

Answer:

b

Step-by-step explanation:

Answer:

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

Step-by-step explanation:

The rate of the inflation of the balloon with time can be denoted as:

[tex]\dfrac{dv}{dt} = 500 \ cm^3/m[/tex]

To determine; how fast does the radius change with time.

i.e.

[tex]\dfrac{dr}{dt}=???[/tex]

where r = 40 cm and the volume of sphere = [tex]\dfrac{4}{3} \pi r^2[/tex]

∴

[tex]\dfrac{dv}{dt}= \dfrac{4}{3} \pi 2(r^3) \dfrac{dr}{dt}[/tex]

[tex]500= \dfrac{4}{3} \pi \times 2(40^2) \dfrac{dr}{dt}[/tex]

[tex]500= 13404.13 \dfrac{dr}{dt}[/tex]

[tex]\dfrac{500}{13404.13} = \dfrac{dr}{dt}[/tex]

[tex]\mathbf{ \dfrac{dr}{dt} = 0.03730 \ cm/min}[/tex]

Answer:

A and B are parallel to D and C

or

A and D to B and C

basically do a line and expand them if they touch they are not parralelogram but if they don't they are

Answer:

20%

Step-by-step explanation:

Original cost = $46.25

Decreased cost = $37.00

Decrease in cost = 46.25 - 37.00 = $9.25

Percentage decrease

[tex] = \frac{9.25}{46.25} \times 100 \\ \\ = \frac{92500}{4625} \\ \\ = 20\% [/tex]

Answer:

X = 2

Step-by-step explanation:

2 x 2 x 2 = 8

Hope this helps. Pls give brainliest.

Answer:

2 :)

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

For one batch there is 2 cups so for one person it's one serving so you will need 3 batches for 6 people.

Step-by-step explanation:

the question is not clear

Answer:

48.69

Step-by-step explanation:

Step-by-step explanation:

30% off $53.50

= 70% of $53.50

= $53.50 * (70/100) = $37.45.

Step-by-step explanation:

X = sin130° + cos130°

= sin50° - cos50°

= sin50° - sin40°.

sin50° is definitely greater than sin40°, therefore X > 0. (3)