On their way up the hill, Jack and Jill were stopped by their parents. It seems the two of them were trying to skip out on some chores. They were told to mow the lawn, clean the kitchen, and sweep the leaves off the deck. If Jack can complete all the chores in 3 hours by himself and Jill takes only 2.25 hours to get all of it done on her own, how many minutes will it take for the two of them to get the work done together

Answer:

The trigonometric ratios are presented below:

[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cot \theta = \frac{BC}{AC}[/tex]

[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]

[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]

Step-by-step explanation:

From Trigonometry we know the following definitions for each trigonometric ratio:

Sine

[tex]\sin \theta = \frac{y}{h}[/tex] (1)

Cosine

[tex]\cos \theta = \frac{x}{h}[/tex] (2)

Tangent

[tex]\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{y}{x}[/tex] (3)

Cotangent

[tex]\cot \theta = \frac{\cos \theta}{\sin \theta} = \frac{x}{y}[/tex] (4)

Secant

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{h}{x}[/tex] (5)

Cosecant

[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{h}{y}[/tex] (6)

Where:

[tex]x[/tex] - Adjacent leg.

[tex]y[/tex] - Opposite leg.

[tex]h[/tex] - Hypotenuse.

The length of the hypotenuse is determined by the Pythagorean Theorem:

[tex]h = \sqrt{x^{2}+y^{2}}[/tex]

If [tex]y = AC[/tex] and [tex]x = BC[/tex], then the trigonometric ratios are presented below:

[tex]\sin \theta = \frac{AC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cos \theta = \frac{BC}{\sqrt{AC^{2} + BC^{2}}}[/tex]

[tex]\cot \theta = \frac{BC}{AC}[/tex]

[tex]\sec \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{BC}[/tex]

[tex]\csc \theta = \frac{\sqrt{AC^{2}+BC^{2}}}{AC}[/tex]

Answer:

15, 8, 66%, 40

Step-by-step explanation:

Hi! ok so in ogive charts its really about finding the corresponding data points and sometimes it's a lot of estimation so these answers may not be exact but they'll be close.

In the image, you'll see a bunch of lines, basically what youre doing is finding the corresponding frequency of the dollars or vice versa.

question a)

50 dollars or less, so the area of 50 dollars and below that.

from the chart we can see that this lines up to around 15 people.

question b)

now this one is a little bit more challenging, but you can use the same process as you did for the first question. so we can see who spent 100 dollars or less. this value is around 42 (just from looking at the graph)

we know if you didn't spend 100 dollars or less, you must have spent more than that.

so take 50-42=8

around 8 people spent 100 dollars or more.

question c)

basically the same question as the first but more calculations are involved. from the graph we can see around 33 people spent 80 dollars or less. but the question is asking the percentage. so what percent of 50 (people) is 33.

33/50 = 0.66

around 66%

question d)

80th percentile means less than or equal to 80% of the frequencies/the data. so we first need to find what value that is in terms of frequency.

50 times 0.8 = 40

40 people

now just plot that on the graph (sorry i did it wrong in the image)

Answer:

Decimal:

100 + 50 + 25 + 12.5 + 6.25 + 3.125 + 1.5625

Fraction:

[tex]100 +50+25 + 12\frac{1}{2}+6\frac{1}{4}+3\frac{1}{8}+1\frac{9}{16}[/tex]

Answer:

3 is the right one

Step-by-step explanation:

Simple math you know

Answer:1.50

Step-by-step explanation:None

Answer: the answer is d

Step-by-step explanation:

Answer:

y because its y i really dont no

Answer:

a = {-5/6 , 1}

Step-by-step explanation:

6a² - a -5 = 0

Factor

(6a + 5)(a - 1) = 0

Root 1

6a + 5 = 0

6a = -5

a = -5/6

Root 2

a - 1 = 0

a = 1

Solution set

a = {-5/6 , 1)

Answer:

3

Step-by-step explanation:

because 3x3= 9 and 4x3=12 and 5x3=15

Answer:

16

Step-by-step explanation:

ezz

Answer:

268 m²

Step-by-step explanation:

8x26=208

3x10x2=60

208+60=268

9514 1404 393

Answer:

  63.7% or 33.35 miles

Step-by-step explanation:

The hint suggests that we find the points where the drive begins and ends picking up the transmitter. We suspect both of those points will have irrational coordinates, so finding the distance between them will involve dealing with squares and roots of irrational numbers. We want to see if there's an easier way.

The distance from the transmitter to the path being driven can be found using the "distance to a line" formula. First, we need the equation of the line in general form. In intercept form, it is ...

  y/38 +x/36 = 1

  19x +18y -684 = 0 . . . . . . multiply by LCM(36, 38) and subtract that amount

Then the distance from the origin to the line is ...

  d = |19·0 +18·0 -684|/√(19² +18²) = 685/√685 ≈ 26.1243

The distance (x) along the line from the point where the transmitter is first picked up until the point of closest approach can be found from the Pythagorean theorem:

  x² + (26.1243)² = 31²

  x² = 31² -(684/√685)² = 190429/685

  x ≈  16.6733

The driving distance for which the transmitter is picked up is twice this, so is ...

  2x = 2(16.6733) ≈ 33.3466 . . . miles

The total drive length is also given by the Pythagorean theorem:

  drive length = √(36² +38²) = √2740 ≈ 52.3450 . . . miles

Then the fraction of the drive during which the signal is picked up is ...

  fraction = (33.3466 mi)/(52.3450 mi) ≈ 0.6371 ≈ 63.7%

__

The signal is picked up for 33.35 miles, about 63.7% of the drive.

______

The intercept-form equation for a line is ...

  x/(x-intercept) +y/(y-intercept) = 1

The distance from (x, y) to line ax+by+c=0 is given by ...

  d = |ax+by+c|/√(a²+b²)

The Pythagorean theorem relates legs a, b and hypotenuse c of a right triangle this way:

  c² = a² +b²

Answer:

= 3/5(x) + 3/5(x) + 2/5

= 6/5(x) + 2/5

= 2/5 (3x+1)

Step-by-step explanation:

Answer:  [tex]\frac{6}{5}x + \frac{2}{5}[/tex]

This is the same as writing  (6/5)x + 2/5

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

Explanation:

Ignore the fraction [tex]\frac{2}{5}[/tex] for now.

The other terms will combine together since they are like terms. We'll add those terms to get:

[tex]\frac{3}{5}x+\frac{3}{5}x\\\\\left(\frac{3}{5}+\frac{3}{5}\right)x\\\\\frac{3+3}{5}x\\\\\frac{6}{5}x\\\\[/tex]

Then we tack on the [tex]\frac{2}{5}[/tex] we ignored earlier to get the final answer of [tex]\frac{6}{5}x+\frac{2}{5}[/tex]

Answer: 9 cherry ice pops

Step-by-step explanation:

if you bought 3 boxes and there is four orange one in each pack the that is

12 and 36 divided by 4 is 9 so there is 9 cherry ice pops

Answer:

$35

Step-by-step explanation:

8 cups /2 = 4 pints

4/2 = 2 quarts = 5 dollars for first pot

3*4 = 12 quarts, = 30 dollars for second pot

Answer:

220 miles

Step-by-step explanation:

.18m + 11d = 61.60

d = 2

.18m + 22 = 61.60

Subtract 22 from both sides

.18m = 39.60

Divide both sides by .18

m = 220

Answer:

0.5

hope this helps

have  a good day :)

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

If 1/3 of x is 12, we can make an equation.

x/3=12

So now we isolate x.

x=36

Answer:

36

Step-by-step explanation:

of means multiply and is means equals

1/3 * n = 12

Multiply each side by 3

3 * 1/3 n = 12 *3

n = 36

9514 1404 393

Answer:

  1340

Step-by-step explanation:

The perimeter of a rectangle of length L and width W is ...

  P = 2(L+W)

The perimeter of the rectangle outline of the figure is ...

  P = 2(315 +300) = 2·615 = 1230

That outline is the sum of all of the line segments making up the figure except for two lengths of 55 units each. Adding those, we find the perimeter of the figure to be ...

  P = 1230 +2(55) = 1230 +110 = 1340 . . . units

_____

Additional comment

It can be convenient to consider the total of horizontal segments and the total of vertical segments. We have shown in the attachment that, except for the 55-unit "indent", the horizontal and vertical lengths are equivalent to those of an ordinary rectangle. Thinking about the problem in this way makes it unnecessary to do the tedious arithmetic necessary to find each segment length. (Here, there is not enough information to do that anyway.)

Answer:

33 plants

Step-by-step explanation:

6 x 550 = 3300

3300/100 = 33

Answer:8.6

Step-by-step explanation:

The easiest way to do this is for you to subtract all the sides from the total perimeter since the perimeter is all of the sides added and your remainder is your answer

Hope this helps

Answer:

8.6 ft

Step-by-step explanation:

Subtract the sum of the known sides from the total in order to find the missing side length.

141.8 - (44.8 + 12.9 + 12.9 + 22.4 + 13.4 + 13.4 + 13.4) = ?

141.8 - (133.2) = ?

8.6 = ?

Answer:

then 2 are human

Step-by-step explanation:

because 4 are robots

Answer:

The rest are normal students.

6-4= 2 so that's how many normal students there are.

Please add a little bit more detail to the question please :)

Answer: 72

Step-by-step explanation: LxWXH

3x3x8=72

9514 1404 393

Answer:

  table C

Step-by-step explanation:

The rates of change can be computed using the slope formula.

  m = (y2 -y1)/(x2 -x1)

The points used and the resulting "rate of change" are shown in the attachment.

Table C shows a rate of change (1/3) that is less than that of the graph (1/2).

_____

I like to use a spreadsheet for repetitive calculations, especially ones involving negative numbers. This helps prevent errors (and tedium). The formula is entered only once.

The table of values which has a smaller rate of change than the function in the graph is C.

This is defined as the ratio of the vertical change to the horizontal change between any two distinct points on a line.

Slope formula.

m = (y2 -y1)/(x2 -x1)

For table C = 4 -3 / -3 - (-6)

= 1/3

Table C shows a rate of change of 1/3 which is less than that of the graph at 1/2 .

Read more about Slope here https://brainly.com/question/25722412

Answer: uhm 6

Step-by-step explanation:

im not sure, but

1. y=9x

2. y=2x

Answer:

C

Step-by-step explanation:

C= 2* pi*r = 2* pi* 5 ≈ 31.4 cm

Answer:

b and 288

Step-by-step explanation:

ywwwwwwwwwwww