How far could you travel walking backwards in 15 minutes based on you speed for the 5 meter trial?

(A) Triangle ABC, and triangle QPR are similar based on side-side-side (SSS) similarity.

(B) Triangle ABC and triangle DEF are similar based on side-side-side (SSS) similarity.

(C) ) Triangle STU and triangle JPM are similar based on side-angle-side (SAS) similarity.

(D) ) Triangle SMK and triangle QTR are similar based on angle-angle (AA) similarity.

Similar triangles have the same corresponding angle measures and proportional side lengths.

The triangle similarity criteria are:

(A) Triangle ABC, and triangle QPR are similar based on side-side-side similarity.

12/8 = 9/6

1.5 = 1.5

(B) Triangle ABC and triangle DEF are similar base on side-side-side similarity as shown in the side lengths.

(C) ) Triangle STU and triangle JPM are similar base on side-angle-side similarity.

14/10 = 21/15

1.4 =

(D) ) Triangle SMK and triangle QTR are similar base on angle-angle similarity.

SMK = 90⁰, 60⁰, 30⁰

QTR =  90⁰, 30⁰, 60⁰

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Answer:

you can make 12 cans of them

Answer: 0.4714

Step-by-step explanation: square root of 8 is 2.8284 divided by 6 = 0.4714.

\( \frac{6}{ \sqrt{8x} } \\ \frac{ {6}^{2} }{ {( \sqrt{8x)} }^{2} } \\ \\ \frac{36}{8x} \\ \ \\ \frac{36 \div 4}{8x \div 4} \\ \\ \frac{9}{2x} \)

this is one of the ways to simplify it

you can divide 9 by 2 the answer will be 4.5x

Answer:

1/2

Step-by-step explanation:

there're 26 red cards in a deck, which makes it half of 52

The price of each of these be

A. Price  \(}=\left(\frac{100 \%-20 \%}{100 \%}\right) * 120=\frac{80}{100} * 120=96 \\\)

B. Price =\(\left(\frac{100 \%-20 \%}{100 \%}\right) * 750=\frac{80}{100} * 750=600 \\\)

C. Price \(=\left(\frac{100 \%-20 \%}{100 \%}\right) * 250=\frac{80}{100} * 250=200\)

The complete question is.

A shop gives 20% discount. What would the price of each of these be?

A dress market at Rs.120

A pair of shoes market at Rs.750

A bag market at Rs.250

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Answer:

The sample standard deviation is 13.22°F

Step-by-step explanation:

Given - Often, frequency distributions are reported using unequal

            class widths because the frequencies of some groups would

            otherwise be small or very large. Consider the following​ data,

            which represent the daytime household temperature the

            thermostat is set to when someone is home for a random sample

            of households. Determine the class​ midpoint, if​ necessary, for

             each class and approximate the mean and standard deviation

             temperature.

Temp                    Frequency                        Class Midpoint

61-64                         34                                         63

65-67                         68                                         66.5

68-69                         196                                        69

70                              191                                         70.5

71-72                         122                                         72

73-76                          81                                           75

77-80                          52                                           79

To find - The sample standard deviation is _____degrees°F.

Proof -

Temp         Frequency(f)            Midpoint(m)           m×f        ( m - 70.73 )²×f

61-64                34                            63                   2142          2031.6

65-67                68                            66.5                4522           1216.7

68-69               196                            69                  13524          586.6

70                     191                           70.5               13465.5        10.1

71-72                122                           72                   8784             196.8

73-76                  81                            75                   6075             2224.4

77-80                  52                            79                    4108            3556.4

                   ∑f = 744                                    ∑m×f = 52620.5     ∑ = 9822.6

So, Mean = \(\frac{52620.5}{744}\) = 70.73

Sample standard deviation = \(\frac{9822.6}{744 - 1} = \frac{9822.6}{743}\) = 13.22

∴ we get

The sample standard deviation is 13.22°F

\( = 8(1) \times 2^{ - 6} \\ = 8 \times \frac{1}{ {2}^{6} } \\ = \frac{8}{64} \\ = \frac{1}{8} \)

HOPE THIS HELPS

Answer:  A  129

Step-by-step explanation:

Because the 2 chords are the same (lines in the circle), the 2 arcs are the same  create an equation that makes them equal

3x+24 = 4x -11             >bring x to one side by subtracting both sides by 3x

24 = x -11                     > add both sides by 11

35 = x

Now that we have solved for x you need to plug that back into the equation for BC

BC= 4x-11

BC = 4(35) - 11

BC =  140 - 11

BC = 129                   >A

The sum of the series is 25/3

From the question, we have the following parameters that can be used in our computation:

5, 2, 4/5, ....

The sum of the series to infinity is

Sum = First term/1 - common ratio

In this, we have

First term = 5

common ratio = 2/5

So, we have

Sum = 5/(1 - 2/5)

Evaluate

Sum = 25/3

Here, we have

Initial population, a = 79000

Rate = 5%

An exponential function is represented as

P(x) = a *(1 + r)^x

So, we have

P(x) = 79000 *(1 + 5%)^x

In 2003. we have

x = 2003 - 1990 = 13

So, we have

P(13) = 79000 *(1 + 5%)^13

Evaluate

P(13) =148966

This means that

P(x) = 3a

So, we have

3a = a *(1 + 5%)^x

This gives

3 = (1 + 5%)^x

Take the logarithm of both sides

x = log(3)/log(1 + 5%)

Evaluate

x = 23

So, the year is

Year = 1990 + 23 = 2013

Hence, the year is 2013

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Given:

The shown represents the difference between the squares

So, the product of the polynomials will be as follows:

So, the answer will be:

This simplifies to:

The degree of our simplified answer is 4

Answer:

Step-by-step explanation:

You want to know a thermometer's reading 4 minutes and 9 minutes after begin brought into a room with a temperature of 36 °C if its initial reading is 10 °C, and it rises to 14 °C after 2 minutes.

Newton's law of cooling tells you the temperature difference of 36 -10 = 26 °C will decline exponentially. If it declines to 36 -14 = 22 °C after 2 minutes, then the temperature reading can be modeled by ...

  T = 36 -26·(22/26)^(t/2)

At times of t=4 and t=9, the temperature readings will be ...

__

Additional comment

The time constant of this thermometer is about 12 minutes, so it will take about 67 minutes to read within 0.1 °C of the room temperature.

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Answer:

16 and 4

Step-by-step explanation:

To divide 20 in the ratio 4:1, we need to divide the quantity into 5 parts (4 parts for the first ratio and 1 part for the second ratio) and then allocate the parts accordingly.

The total number of parts is 4+1=5. So, each part represents 20/5 = 4.

To find the share of the first ratio, we multiply the first ratio (4) by the number of parts it represents (4). So, the first share is 4*4 = 16.

To find the share of the second ratio, we multiply the second ratio (1) by the number of parts it represents (1). So, the second share is 1*4 = 4.

Therefore, the quantities in the ratio 4:1 that add up to 20 are 16 and 4, respectively.

a. Point P on the line and the direction vector v of the line can be expressed as P = (x0, y0, z0) + t(a, b, c).

b. The distance from the origin to the line -x=y+1, z=2 is the shortest distance between a point and a line.

Here (x0, y0, z0) is a point on the line and (a, b, c) is the direction vector. To find (x0, y0, z0) and (a, b, c), we need more information about the line.

This formula involves taking the dot product of the direction vector of the line and the difference between a point on the line and the origin. Again, we need more information about the line in order to calculate this distance.

Without more information about line L, it is not possible to find the point P or the distance from the origin to the line.

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Answer: ∠BDA

Step-by-step explanation:

Complementary: Either of two angles whose sum is 90°.

Starting Angle: ∠BDC

Possible Complement: ∠BDA

Answer: ∠ACD

Step-by-step explanation:

Complementary angles are angles which have a sum of 90 degrees when added together.

Angle ∠ADB is 90°

So ∠BDC and another angle should give you ∠ADB

The angle that when added to ∠BDC give you ∠ADB is ∠ACD

The interest is 16% compounded semi-annually, is Rs. 121,179.10.

To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.

Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)

So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:

Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.

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Answer:

8%

Step-by-step explanation:

We will do this to find the percentage.

states that start with letter w/the 50 us states x 100%

states that start with letter w = 4

4/50 = 0.08

0.08 x 100% = 8%

8% of the 50 states in the US's name starts with W.

Answer:

x=26-19

=7

Your answer is 7

Answer:

13.83431104

Step-by-step explanation:

use sin (opposite/hypotenuse) and solve

Answer:

100x100=10,000

A short and easy trick is to multiply only the first number since the rest are zero. So, multiply 1 and 1: 1 x 1. What do you get? 1, of course. Then, add the rest of the zero's after that. In 100, there are two zero's. In 100, there are two zero's. What is two plus two? Well: 2 + 2 = 4 so, four zero's. After that, add the 4 zero's after the 1. One is extremely important in this problem. 1, one zero, 10, two zero's, 100, three zero's, 1,000, and finally, four zero's, 10,000. So, the trick is to multiply the one by the other one, get 1, and add the zero's in the other numbers. This can work as long as it is something like: 10 x 10, 100 x 100, 1,000 x 1,000, or even beyond. Just remember to add the zero's!

Note: This only works with digits similar to the ones listed below.

Notice that they all have a 1 at the front and zero('s) behind them.

1) 10 x 10

2) 100 x 100

3) 1,000 x 1,000

This can continue to over 100 zero's per digit!

The solution to the expression is A = 10000

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 100

Let the second number be represented as q

The value of q = 100

So, A = pq

On simplifying the equation , we get

A = p multiplied by the value of q

And , A = 100 x 100

A = 10000

Therefore , the value of A is 10000

Hence , the expression is A = 10000

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Answer:

I did not understand sorryyy

Answer:

8 hours

Step-by-step explanation:

We can use a ratio to solve

12 hours    x hours

----------   = ------------

93 dollars    62 dollars

Using cross products

12 * 62 = 93x

Divide each side by 93

12*62/93 = 93x/93

8 = x

8 hours

Answer:

12 is less than 102

Step-by-step explanation:

The options are \(12<102\) or \(12=102\)

12 cannot be equal to 102 as they are not the same number/quantity.

Therefore, 12 has to be less than 102, as 102 is a larger number.

Another way to think about this is imagining a number line. As you go to the left the numbers get smaller, and to the right the numbers increase. If 12 is to the left of 102 on the number line, then it must be less.

8 : 2  

8+ 4 = 12    2 + 1 = 3

12 : 3

12 + 4 = 16   3 + 1 = 4

16 : 4

16 + 4 = 20   4 + 1 = 5

20 : 5

20 + 4 = 24   5 + 1 = 6

24 : 6

24 + 4 = 28   6 + 1 = 7

28 : 7

28 + 4 = 32   7 + 1 = 8

32 : 8

32 + 4 = 36   8 + 1 = 9

36 : 9

36 + 4 = 40   9 + 1 = 10

40 : 10

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

Answer: If the number of cups of cereal is 40, then the number of cups of raisins will be 10.

Have a great day/night! :D

The distance between the tops of the buildings is 28.5 meters.

To find the distance between the top of the buildings, we can use the concept of similar triangles.

Let's denote the height of the shorter building as "a" (12 m) and the height of the taller building as "b" (19 m). The distance between the buildings can be denoted as "c" (18 m), and the distance between the top of the buildings as "x" (which we need to find).

We can set up a proportion based on the similar triangles formed by the buildings:

a/c = b/x

Substituting the known values:

12/18 = 19/x

To find "x," we can cross-multiply and solve for "x":

12x = 18 * 19

12x = 342

x = 342/12

x = 28.5 m

Therefore, the distance between the tops of the buildings is 28.5 meters.

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Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

A la sala de cine ingresaron 180 niños y 165 adultos.

De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:

3 · x + 5 · (345 - x) = 1365

Donde x es el número de niños que asistieron a la sala de cine.

Ahora despejamos la variable correspondiente mediante propiedades algebraicas:

3 · x + 1725 - 5 · x = 1365

1725 - 2 · x = 1365

2 · x = 1725 - 1365

2 · x = 360

x = 180

Ahora, el número de adultos es:

y = 345 - 180

y = 165

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50

Step-by-step explanation:

plot it on the number line

Answer:

The length will be 4.5 × 3.5 = 15.75 feet

The width will be 6 × 3.5 = 21 feet

So the area will be

15.75 feet × 21 feet = 330.75 square feet

Answer:

2 units

Step-by-step explanation:

Representing Solutions for Equations as Graphs (7.10b) . ... If a number is an integer, then it is also a rational number. 4. ... Now substitute the values for x and y into the expression. 2(1 ... You have seen how fractions, decimals, and integers can be used to solve ... a) The rise shown in this triangle is 4 units; the run is 2 units.

Answer:

100 yojan=how much km

1287.48

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