Triangle PQR has vertices , , and . It is translated according to the rule

The distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m.  Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.

The distance traveled by the hiker in a time of 2.6 hours is 6.24 km.

Given data: Average speed of the hiker = 2.4 m/s, Time taken by the hiker to travel = 2.6 hours

First, we need to convert the average speed from m/s to km/h.1 m/s = 3.6 km/h

Therefore, the average speed of the hiker = 2.4 m/s × 3.6 = 8.64 km/h

Now, we can use the formula distance = speed × time to find the distance traveled by the hiker.

Distance = Speed × Time

Distance = 8.64 km/h × 2.6 h = 22.464 km

However, the distance is required in kilometers, not in meters.

Therefore, we convert km to meters.1 km = 1000 m

Hence, the distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m.

To convert the above value to kilometers, we need to divide it by 1000 (since 1 km = 1000 m).Distance in kilometers = Distance in meters ÷ 1000Distance in kilometers = 22464 m ÷ 1000 = 22.464 km

Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.

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Answer:

A

Step-by-step explanation:

\(x58 \frac{.225 {.39 < }^{?} }{?} \)

\(.555121213 \frac{ = < < \sqrt{ { \frac{?}{?} }^{?} } }{?} \)

Answer:

15.23 m

Step-by-step explanation:

The problem given describes the shape of a right angled triangle.

From the diagram below:

The height of the tree is the opposite = 6 m

The distance of the flower from the base of the tree = adjacent = 14 m

The distance the bird must fly to get from the nest to the flower = hypotenuse = h

According to Pythagoras rule:

\(hyp^2 = opp^2 + adj^2\)

Therefore:

\(h^2 = 6^2 + 14^2\\\\h^2 = 36 + 196\\\\h^2 = 232\\\\h = \sqrt{232} \\\\h = 15.23 m\)

The bird will have to fly 15.23 m to get from its nest to the flower in a direct path.

Given:

The radius of the circle = 10 in

The angle of the sector = 37 degrees

Required:

To find the area of the sector and choose the correct option.

Explanation:

The area of the sector of the circle is given by the formula.

Where r = radius of the circle and

The area of the sector in the circle is:

This matches with the first option.

Final Answer:

The first option is the correct answer.

The experimental probability of the event where the spin is not 1 is 0.84

Given that we have the bar chart

From the bar chart, we have the following readings

Spun 1 = 8

Spun 2 = 6

Spun 3 = 9

Spun 4 = 11

Spun 5 = 9

Spun 6 = 7

The experimental probability of the event is then calculated as

P(Not 1) = Sum of Not 1/Total

So, we have

P(Not 1) = (6 + 9 + 11 + 9 + 7)/(6 + 9 + 11 + 9 + 7 + 8)

Evaluate

P(Not 1) = 0.84

Hence, the probability is 0.84

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Answer:

-93

Step-by-step explanation:

it decreases by four every time, so take -4 times 22 and then subtract 5.

Answer:

A and D choices (Plato)

Step-by-step explanation:

The upper boundary of the first equation is at x = 12, y = 0. With these values, this is the second equation:

100(12) − 200(0) = 1,200.

The lower boundary of the first equation is at x = 0, y = 12. With these values, this is the second equation:

100(0) − 200(12) = -2,400.

Both of these scores are possible in the game, so they are both viable.

Because the upper boundary is greater than 600, it suggests that you can still score 600 points and win the game even if you get one or two of the questions incorrect.

In fact, you could give 10 correct and 2 incorrect answers to score 600 points and still beat the champion, Kimberly, assuming she answers 15 correct and 5 incorrect to score 500 points.

Answer:

hello

Step-by-step explanation:

Answer:

46°

Step-by-step explanation:

from large triangle:

let the third unknown angle be 'a'

then,

a+x+7+85=180

a=88-x

now,from small triangle,

let the third unknown angle be 'b'

then,

b+x+2x=180

b=180-3x

b=a (vertically opposite angles)

then,

180-3x=88-x

2x=92

x=46

The given reaction is considered as nuclear reaction instead of chemical reaction as the change is coming in the nucleus.

A nuclear reaction is one in which the number of protons or neutrons changes as a result of collisions between two nuclei or an atom and a subatomic particle.

In the given reaction also which is superscript 1 subscript 1 h plus superscript 1 subscript 0 n right arrow superscript 2 subscript 1 h.

A neutron is added to the nucleus of a hydrogen atom here. As a result, it is a nuclear reaction.

A chemical reaction involves the acquisition or loss of electrons, which leads in the synthesis of a new molecule while leaving the nucleus of an atom unchanged.

Thus, we can give a conclusion that because a change in a nucleus happened, the described event is categorised as a nuclear reaction rather than a chemical reaction.

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Answer: 2:1

Step-by-step explanation:

Jose has 100 votes and Ally has 50 votes.

The ratio for that would be 100:50.

But that simplified would be 2:1.

someone asked tjis question before

Step-by-step explanation:

he needs 100ml to make 250ml, the explanation is somewhere on this app

Answer:

150ml

Step-by-step explanation:

250ml=100%

25ml=10%

times 25mls 6 times so that it become 60%=150ml

Answer:

It would intercept the y-axis at y = -11

Step-by-step explanation:

Here is the work

Answer:

Step-by-step explanation:

the y interception is -11

Y=mx+b formula the b is for the y intercept and the m is the slope.

The value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

The history of pi dates back thousands of years, and over time, various civilizations have attempted to calculate its value with varying degrees of accuracy. One of the most inaccurate versions of pi was recorded by the ancient Babylonians around 2000 BC.

The Babylonians calculated the value of pi as 3.125, which is off by more than 6% from the actual value. It is believed that the Babylonians arrived at this value by using a rough approximation of a circle as a hexagon. They measured the perimeter of the hexagon and divided it by the diameter to get their approximation of pi.

This value was later refined by the ancient Egyptians and Greeks, who were able to calculate pi with greater accuracy. The Greek mathematician Archimedes, for instance, was able to calculate pi to within 1% accuracy by using a method of exhaustion.

It wasn't until the development of calculus in the 17th century that mathematicians were able to derive an exact formula for pi. Today, the value of pi is known to over 31 trillion decimal places, thanks to the use of powerful computers and sophisticated algorithms.

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Harry sprinted 1/12 farther.

Given that, Harry sprinted 1/2 of a lap then jogged 5/12,

So, we need to find how much father did he sprint then jog,

Subtracting fractions, we get =

1/2 - 5/12

= 6-5/12

= 1/12

Hence, Harry sprinted 1/12 farther.

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Using the definitions of the mean and of the standard deviation of a data-set, we have that:

When the measure of 84 is added to the data-set, we have that:

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The cash flow to stockholders for 1998 is -$4 million.

To calculate the cash flow to stockholders for 1998, follow these steps:

Identify the dividends paid: Brandy's Candies paid $23 million in dividends during 1998.

Determine the net common stock repurchases: Brandy's Candies made net common stock repurchases of $27 million during 1998.

Subtract the net common stock repurchases from the dividends paid: $23 million - $27 million = -$4 million.

The resulting cash flow to stockholders for 1998 is -$4 million, indicating a net outflow of cash from stockholders.

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If 100 students participate in the fundraiser, each student needs to raise $137.50.If 25 students participate in the fundraiser, each student needs to raise amount $550.

Amount = (Total Amount Needed) ÷ (Number of Students)

For 60 students:

Amount = $275 ÷ 60 = $4.58

For 75 students:

Amount = $275 ÷ 75 = $3.67

For 40 students:

Amount = $275 ÷ 40 = $6.88

To solve this problem, we need to use a simple equation: Amount = (Total Amount Needed) ÷ (Number of Students). We can then plug in the given information to calculate the amount each student needs to raise. For example, if 50 students participate in the fundraiser, we can calculate that each student needs to raise $275 ÷ 50 = $5.50. We can then use this equation to calculate the amount that each student needs to raise if there are different numbers of students participating in the fundraiser. For example, if there are 100 students participating in the fundraiser, each student needs to raise $275 ÷ 100 = $2.75. Similarly, if there are 25 students participating in the fundraiser, each student needs to raise $275 ÷ 25 = $11.00.

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Answer: C | SAS

Step-by-step explanation:

C. SAS - This acronym stands for Side-Angle-Side congruence. This criteria implies that △ABC≅△DEF if two sides and the included angle of one triangle are congruent to two sides and the included angle of the other triangle.

Step-by-step explanation:

c=5/9(f-32) can also be written as c = 5(f - 32)/9.

Multiply each side by 9.

That gives us 9c = 5(f - 32).

Apply distributive rule on the right side.

9c = 5f - 160

Add 160 to the left side.

9c + 160 = 5f

Lastly, divide both sides 5.

(9c + 160)/5 = f

The distance the cyclist traveled into the country, given that he rides into the country at an average speed of 10 miles per hour is 15 miles

Let the total distance traveled into the country be y.

Now, we shall determine the riding time. Details below:

Riding time = Distance / speed

Riding time = y / 10

Next, we shall obtain the walking time of the cyclist. This is shown below:

Walking time = Distance / speed

Riding time = y / 3

Finally, we shall obtain the total distance traveled. This is illustrated below:

Total time = riding time + walking time

6.5 = y/10 + y/3

6.5 = (3y + 10y) / 30

6.5 = 13y / 30

Cross multiply

13y = 6.5 × 30

13y = 195

Divide both sides by 13

y = 195 / 13

y = 15 miles

Thus, the total distance traveled by the cyclist into the country is 15 miles.

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Answer:

B.

Step-by-step explanation:

We know that

Line FG is 7.0 meters

Angle G is 90 degrees

Angle G is 25 degrees

All of the angles of a triangle add up to 180 degrees

We need to find the angle of F

90+25+f=180

115+f=180

f=65 degrees

Now we have narrowed our answers down to A, B, and D

Next we need to find the measure of line GH

For this we will need to use one of the three, Sin, Cos, Tan.

We will be using Tan because we have our variable adjacent to our angle and our number 7 opposite of our angle.

We are looking for the measure of GH

Tan60=7/x

x=3.3

The product (64)(81)(125) has 140 different positive integer factors.

To find the number of positive integer factors of the product (64)(81)(125), we first need to determine the prime factorization of each number.

64 = 2^6 (as it is 2 multiplied by itself 6 times)
81 = 3^4 (as it is 3 multiplied by itself 4 times)
125 = 5^3 (as it is 5 multiplied by itself 3 times)

Now, let's consider the product (64)(81)(125) = (2^6)(3^4)(5^3). To find the number of different positive integer factors, we use the formula:

(Number of factors of the first prime + 1) * (Number of factors of the second prime + 1) * (Number of factors of the third prime + 1)

In our case, the formula would be:

(6 + 1) * (4 + 1) * (3 + 1) = 7 * 5 * 4

Calculating the result, we get:

7 * 5 * 4 = 140

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Answer:

see below

Step-by-step explanation:

Use pythagorean theorem:

\(a^{2} +b^{2} =c^{2} \\\)

For example, if we are given the lengths:

Short side: 3

Hypotenuse: 5

and we have to find the other side length:

\(a^{2} +b^{2} =c^{2} \\3^{2} +b^{2} =5^{2} \\9+b^{2} =25\\b^{2} =16\\b=4\)

So, the missing side length would be 4.

Hope this helps!  :)

The two column proof is written as follows

Statement                                                           Reason

line LQ || Line NP                                   given

< Q is congruent to < N                         Alternate interior angles

< L is congruent to < P                           Alternate interior angles

< LMQ is congruent to < PMN               Vertical angle theorem

Δ LMQ similar Δ PMN                            Definition of similar triangles

Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.

If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.

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Answer: the first one is (-9,-12) the second one is 13 or 25 i'm not sure

Step-by-step explanation:

Answer:

<R = 26degrees

Step-by-step explanation:

Making <R as the reference angle

Adjacent side = 12.7

Hypotenuse = 14.1

Cos <R = adj/hyp

Cos <R = 12.7/14.1

Cos <R = 0.9007

<R = arccos(0.9007)

<R =25.7

<R = 26degrees

Answer:

A. 26°

Step-by-step explanation:

I took it on EDG

Your parents would need to save approximately $4,467.56 each year to reach their goal of $160,000 by your 18th birthday. your parents would need to save approximately $40,079.89 each year to reach their new goal of $200,000, assuming a five-year saving period.

a. To calculate the amount your parents would have to save each year to reach a goal of $160,000 by your 18th birthday, we can use the future value of an ordinary annuity formula:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = future value ($160,000)

P = annual savings amount

r = interest rate per period (9.5% or 0.095)

n = number of periods (number of years, in this case, 17 since they start saving on your first birthday until your 18th birthday)

Plugging in the values, we have: $160,000 = P * [(1 + 0.095)^17 - 1] / 0.095

Simplifying the equation and solving for P, we find: P ≈ $4,467.56

b. If your parents decide to save for five years instead of four and aim to have $200,000 saved, we can use the same formula to calculate the new annual savings amount: $200,000 = P * [(1 + 0.095)^5 - 1] / 0.095

Simplifying the equation and solving for P, we find: P ≈ $40,079.89

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Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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