Ruben is collecting cans for the recycling contest at school. He makes two plans to try to collect the most cans.Plan A: collect 20 cans each week for 9 weeks. Plan B: collect 30 cans each week for 7 weeksPart Awhich plan should Ruben choose?Part Bexplain how you made your choice

Answer:

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The length of the side P is 15 cm. And the right option is C.

Pythagoras theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides.

To calculate the length of side P we use Pythagoras theorem's formula

Pythagoras formula:

Where:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the right option is C 15 cm.

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Answer:

12 feet

Step-by-step explanation:

1 inch= 8 feet

1/2 inch= 4 feet

1/4 inch= 2 feet

(2x2)/2= 2  (one triangle)

2x4=8 (rectangle)

2+2=4 +8=12

^2 was added 2 times cause there are 2 triangles

(you did not need a 3rd measurement cause the triangle measurements were equal)

C and E i did it and got it right and Np

The number of people were 200 in the theater when it was full.

What is a theater?

In architecture, a theatre, usually spelled theatre, is a structure or area where a play can be conducted in front of spectators. The term comes from the Greek theatron, which means "a place of seeing." The actual performance usually takes place on a stage in a theatre.

Given that, the theater was full when the movie began.

76 people leave the theater before end the movie. At the end of the movie, there is 124 people left.

Apply algebraical operation that is addition to find the required answer.

Therefore, the number of people that was present at the beginning of the movie is (76 + 124) = 200.

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Answer:

(0,1)

Step-by-step explanation:

A function is not differentiable if either:

- there is no tangent line or

- there is a vertical tangent line

There are no vertical tangent lines here, but at the point (0,1), there is no tangent line. To the left, the function is increasing, but to the right, the function is decreasing. It is impossible to draw a tangent line here, and as a result, the function is not differentiable at this point

The statement that correctly compares the centers of the distributions is this:

D. The mean of East Hills HS is greater than the mean of Southview HS.

Since, The statement that correctly describes the centers of the distributions is option D. To find out, we will calculate the mean of the two distributions as follows:

For East Hills HS

25 * 1 + 29 * 1 + 31 * 2 + 33 * 4 + 35 * 5 + 37 * 8 + 39 * 4

= 875

And, Frequency = 1 + 1 + 2 + 4 + 5 + 8 + 4 = 25

Hence,

Mean = 875/25

Mean = 35

For Southview

25 * 2 + 27 * 6 + 29 * 9 + 31 * 6 + 33 * 2

= 725

Frequency = 2 + 6 + 9 + 6 + 2 =25

Hence, Mean = 29

So, from our calculation, the mean of East Hills HS is greater than the mean of Southview HS.

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A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.

To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.

For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:

150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms

Therefore, 150 pounds is approximately equal to 68.0388 kilograms.

In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.

It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.

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Answer:

Number of Uni Cycles = 7

Number of Bi Cycles = 26

Number of Uni Cycles = 39

Total Wheels = 98

Total Seats = 46

Step-by-step explanation:

Uni Cycles consist of 1 wheel

7 x 1 = 7 wheels

Bi Cycles consist of 2 wheels (twice than tri cycle)

26 x 2 = 52 wheels

Tri Cycles consist of 3 wheels

13 x 3 = 39 wheels

Total seats = 7 + 26 + 13 = 46

Total wheels = 7 + 52 + 39 = 98

The number of cycles is given below:-

Number of Uni Cycles = 7

Number of Bi Cycles = 26

Number of Uni Cycles = 39

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Total Wheels = 98

Total Seats = 46

Uni Cycles consist of 1 wheel

7 x 1 = 7 wheels

Bi Cycles consist of 2 wheels (twice as tricycle)

26 x 2 = 52 wheels

Tri Cycles consist of 3 wheels

13 x 3 = 39 wheels

Total seats = 7 + 26 + 13 = 46

Total wheels = 7 + 52 + 39 = 98

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Answer:

Step-by-step explanation: im in 7th grade

Answer:

5⁰ × 7⁰ × 3⁰ = 1

Step-by-step explanation:

5⁰ × 7⁰ × 3⁰ = ?

5⁰ = 1

7⁰ = 1

3⁰ = 1

1 × 1 × 1 = 1

Answer:

81

Step-by-step explanation:

Area of pool = 2 x area of sector + 2 x area of triangle

Area of sector =

(2.21/2π) * π * (30)² = 994.5 ft^2

Area of triangle =

1/2 bh = 1/2 x 20 x 25 = 250 ft^2

Area of pool = 2(994.5 + 250)

= 2489 ≈ 2490 ft^2

Answer:

x = -5

Step-by-step explanation:

Original equation:

2(2x - 7) = -34

Use distributive property

2 · 2x = 4x

2 · (-7) = -14

Plug these values back into the equation

4x - 14 = -34

Add 14 to both sides

4x = -20

Divide both sides by 4

x = -5

Hope this helps :)

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Answer:

28/d is the answer from my side

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(1−2)

Equation Form:

x= 1

y=−2

Step-by-step explanation:

Explanation:

Segment AW bisects angle CAD.

This leads to the smaller pieces (angles CAW and DAW) to be equal to one another. Both are 20 degrees each. That totals to 20+20 = 40 degrees.

Therefore, angle CAD = 40 degrees.

The supplement of this is angle DAX

(angle CAD) + (angle DAX) = 180

angle DAX = 180 - (angle CAD)

angle DAX = 180 - 40

angle DAX = 140 degrees

the first one is correct

i can prove it but its hard on this app and it has a long solution

you can prove it by Thales law

hope this helps

Answer:

0.0588

Step-by-step explanation:

There are 52 cards total in a pack of cards.

There are 13 diamond cards in a pack of card

When the first card is dealt, it is NOT replaced. When the second card is dealt, it is NOT replaced

In probability:

AND = multiplication

  OR = addition

Probability = \(\frac{Total number of diamond cards}{Total number of cards}\)

Probability that both friends for diamonds:

First card is DIAMONDS AND second card is DIAMONDS:

= \(\frac{13}{52}\)×\(\frac{12}{51}\)

= \(\frac{156}{2652}\)

= 0.0588 (Rounded off to 3 significant figures)

a) Angle of line of sightFrom a point O in the school compound, Adeolu is 100 m away on a bearing N 35° E and Ibrahim is 80 m away on a bearing S 55° E. (a) How far apart are both boys? (b) (c) What is the bearing of Adeolu from point O, in three-figure bearings? What is the bearing of Ibrahim from point O, in three-figure bearings?The angle of the line of sight of Adeolu from the point O is given by:α = 90 - 35α = 55°.The angle of the line of sight of Ibrahim from the point O is given by:β = 90 - 55β = 35°.a) By using the Sine Rule, we can determine the distance between Adeolu and Ibrahim as follows:$

\frac{100}{sin55^{\circ}} = \frac{80}{sin35^{\circ}

100 sin 35° = 80 sin 55°=57.73 mT

herefore, both boys are 57.73 m apart. b) The bearing of Adeolu from the point O can be determined as follows:OAN is a right-angled triangle with α = 55° and OA = 100. Therefore, the sine function is used to determine the side opposite the angle in order to determine AN.

Thus:$$sin55^{\circ} = \frac{AN}{100}$$AN = 80.71 m.

To find the bearing, OAD is used as a reference angle. Since α = 55°, the bearing is 055°.

Therefore, the bearing of Adeolu from the point O is N55°E. c) Similarly, the bearing of Ibrahim from the point O can be determined as follows:OBS is a right-angled triangle with β = 35° and OB = 80. Therefore, the sine function is used to determine the side opposite the angle in order to determine BS.

Thus:$$sin35^{\circ} = \frac{BS}{80}$$BS = 46.40 m.

To find the bearing, OCD is used as a reference angle. Since β = 35°, the bearing is 035°.Therefore, the bearing of Ibrahim from the point O is S35°E. A boy walks 5 km due North and then 4 km due East. (a) Find the bearing of his current posi- tion from the starting point.

(b) How far is the boy now from the start- ing point?The boy's position is 5 km North and 4 km East from his starting position. The Pythagorean Theorem is used to determine the distance between the two points, which are joined to form a right-angled triangle. Thus

:$$c^2 = a^2 + b^2$$

where c is the hypotenuse, and a and b are the other two sides of the triangle. Therefore, the distance between the starting position and the boy's current position is:$$

c^2 = 5^2 + 4^2$$$$c^2 = 25 + 16$$$$c^2 = 41$$$$c = \sqrt{41} = 6.4 km$$

Therefore, the boy is 6.4 km from his starting point. (a) The bearing of the boy's current position from the starting point is given by the tangent function.

Thus:$$\tan{\theta} = \frac{opposite}{adjacent}$$$$\tan{\theta} = \frac{5}{4}$$$$\theta = \tan^{-1}{\left(\frac{5}{4}\right)}$$$$\theta = 51.34^{\circ}$$

Therefore, the bearing of the boy's current position from the starting point is N51°E.

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Answer:

Inverse Property of Addition

Step-by-step explanation:

Toms pays Rs 1250 rent every month  his annual rental is Rs 15000 and if his rent is increased by 85% at the end of the year Rs 2312.5  will be his increased monthly rent.

What is Percentage?

In mathematics, a chance is a number or rate expressed as a bit of 100. It's frequently denoted using the percent sign,"%", although the bowdlerizations" pct."," pct" and occasionally" pc" are also used. A chance is a dimensionless number; it has no unit of dimension.

If you're needed to convert a decimal number like 0.57 to a chance, you simply multiply it by 100. That is,0.57 x 100 = 57. thus,0.57 as a chance equals 57. Another illustration is0.03 x 100 = 3 .

Given that;

Tom pays rent every month = Rs 1250

So, Tom's annual rent will be = ?

∵ 1 year = 12 month

∴ annual rent will be = Rs 1250 x 12 = Rs 15000

Hence,Tom's annual rental is Rs 15000.

if his rent is increased by 85% at the end of the year;

then, Current rent =1250, percent increase per year =85%

his increased monthly rent will be ;

Rent = 1250 + 85% of 1250

         = 1250 + 85/100 + 1250

         =Rs 2312.5

if his rent is increased by 85% at the end of the year Rs 2312.5  will be his increased monthly rent.

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Step-by-step explanation:

55 / 3 = 18.333.

Since it is a decimal, we round up to the nearest whole number.

It will take at least 19 battles to level up.

Answer:

Step-by-step explanation:

so divide 55 / 3 = 18.33333333  or 18 1/3 but.. you'll have to battle 19 times to level up

Answer:

Step-by-step explanation:

The initial term is 243. Since it is a geometric sequence, each term is r times the preceding term.

r = 81/243 = ⅓

nth term = a₁rⁿ⁻¹ = 243(⅓)ⁿ⁻¹

Answer:

He is wrong.

Step-by-step explanation:

\(3(x+3)-9\\\\3x+9-9\\\\\boxed{3x}\)

Hope this helps

Answer:

x = 1 and x = 7

Step-by-step explanation:

The given equation is \(x^2 - 8x + 7 = 0\).

We need to solve the equation.

It is a quadratic equation whose solution is given by :

\(x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\)

Here, a = 1, b = -8 and c = 7

Put values,

\(x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1\)

So, the values of x are x = 1 and x = 7.

Answer:

.357

Step-by-step explanation:

Answer:

points (2,2) and (-2,-4):

y-intercept= -1, the equation is y= 3/2x -1

points (-2,0) and (0,-5):

y-intercept = -5, the equation is y= -5/2- 5

points (0,3) and (i can’t read the other one)

y-intercept= 3, the equation is y=4x+ 3!

ask if you need further assistance ^_^