A hiking trail is shown as 14 cm on a map.

The scale is 1 : 150000

How far in km is it in real life?

Answer:

I'm pretty sure it's 91

Step-by-step explanation:

8th square number is 64 and the 3rd cube number is 27 so add them together and you get 91

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755
0.0755 * 100 = 7.55%

Step-by-step explanation:

To find the percentage of 1 - 3√(5/35), we need to first evaluate the expression.

1 - 3√(5/35) = 1 - 3√(1/7) = 1 - 3*(1/sqrt(7)) ≈ 0.0755

To convert this decimal to a percentage, we simply multiply by 100:

0.0755 * 100 = 7.55%

Answer:

B. x is less than or equal to 5

Step-by-step explanation:

The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to

In this case it is less than or equal to because the line goes to the left

Hope this helped!

Answer:

$22.7325

Step-by-step explanation:

12.99 * 1.75 = 22.7325

pls mark brainliest

Final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

Let's break down the steps to determine the final speed:

Step 1: Convert the speed from miles per minute to miles per hour.

Since you're driving one and a half miles per minute, we need to convert it to miles per hour. There are 60 minutes in an hour, so we multiply 1.5 by 60 to get 90 miles per hour.

Step 2: Slow down by 15 miles per hour.

Subtract 15 from the initial speed of 90 miles per hour, resulting in 75 miles per hour.

Step 3: Reduce the speed by one third.

To find one third of 75 miles per hour, we divide it by 3, which gives us 25 miles per hour.

Therefore, the final speed after slowing down by 15 miles per hour and reducing the speed by one third is 25 miles per hour.

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The table that represents a linear equation is the first one, and the line can be:

y = -4x - 1

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, notice that if we evaluate the line in x + 1, we will get:

y = a*(x + 1) + b

y = a*x + a + b

So, for an increase of one unit on the variable x, we have a constant increase in the y value.

Now, if you look at the first table, you can see that for each increase of 1 unit on the value of x, the value of y decreases by 4.

So that is the table that can represent a linear function.

And the line is:

y = -4x - 1

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In order to know the height of point B

the angle between the points is 30°

Therefore the height of point B is

The height of point F is located is the same as the point B

ANSWER

Height of point B= 56ft

Height of point C= 56ft

1/4 / 5 is equal to 4x5, or 20.

---

hope it helps

An equation to show the sequence is -25n.

When all the terms of the geometric sequence are added, than that expression is known as geometric series.

The sum of terms of a geometric sequence;

Now, lets suppose its initial term is   , multiplication factor will be r

and let it has total n terms, then, its sum is given as:

\(S_n = \dfrac{a(r^n-1)}{r-1}\)

(sum till nth term)

We are given that;

The first term of sequence=-25

D= -50-(-25)

=-25

Now,

an = a + (n-1)d

=-25+(n-1)-25

=-25-25n+25

=-25n

Therefore, the answer of the sequence will be -25n.

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Answer:

The answer is Zack garden

\(\qquad\qquad\huge\underline{{\sf Answer}}♨\)

The value of third side should be lesser than the the sum of other two sides ~

\(\qquad \sf  \dashrightarrow \:x < 2.8 + 2.8\)

\(\qquad \sf  \dashrightarrow \:x < 5.6\)

and, value of third side should also be greater than the difference of other two sides ~

\(\qquad \sf  \dashrightarrow \: x> 2.8 - 2.8\)

\(\qquad \sf  \dashrightarrow \:x > 0\)

Now, combine the two inequalities, we will get ~

\(\qquad \sf  \dashrightarrow \:0 < x < 5.6\)

I hope you got the required Answer ~

Answer:

3 and 12

Step-by-step explanation:

3*5=15 and 15-3=12. The product of 3 and 12 is 36.

The integers are 3 and 12.

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.

let the one integer be x.

Another integer = 5x - 3

According to question,

x *(5x-3 ) =36

5x ² -3 x =36

5x² -3 x - 36 = 0

5x² -15 x +12 x - 36 =0

5x( x-3) + 12 ( x -3) =0

(5x +12)( x- 3)=0

x= -12/5 or 3

So, the integers are 3 and 12.

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Answer:

To find the radius of the circle inscribed in an isosceles triangle, we can use the following formula:

r = (a/2) * cot(π/n)

where r is the radius of the inscribed circle, a is the length of one of the equal sides of the isosceles triangle, and n is the number of sides of the polygon inscribed in the circle.

In this case, we have an isosceles triangle with two sides of 5cm and one side of 6cm. Since the triangle is isosceles, the angle opposite the 6cm side is bisected by the altitude and therefore, the two smaller angles are congruent. Let x be the measure of one of these angles. Using the Law of Cosines, we can solve for x:

6^2 = 5^2 + 5^2 - 2(5)(5)cos(x)

36 = 50 - 50cos(x)

cos(x) = (50 - 36)/50

cos(x) = 0.28

x = cos^-1(0.28) ≈ 73.7°

Since the isosceles triangle has two equal sides of length 5cm, we can divide the triangle into two congruent right triangles by drawing an altitude from the vertex opposite the 6cm side to the midpoint of the 6cm side. The length of this altitude can be found using the Pythagorean theorem:

(5/2)^2 + h^2 = 5^2

25/4 + h^2 = 25

h^2 = 75/4

h = sqrt(75)/2 = (5/2)sqrt(3)

Now we can find the radius of the inscribed circle using the formula:

r = (a/2) * cot(π/n)

where a = 5cm and n = 3 (since the circle is inscribed in a triangle, which is a 3-sided polygon). We can also use the fact that the distance from the center of the circle to the midpoint of each side of the triangle is equal to the radius of the circle. Therefore, the radius of the circle is equal to the altitude of the triangle from the vertex opposite the 6cm side:

r = (5/2) * cot(π/3) = (5/2) * sqrt(3) ≈ 2.89 cm

Therefore, the radius of the circle inscribed in the isosceles triangle with sides 5cm, 5cm, and 6cm is approximately 2.89 cm.

well, she spent $140, because 500 - 360 = 140.

now, if we take 500 to be the 100%, what is 140 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 500 & 100\\ 140& x \end{array} \implies \cfrac{500}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{25}{7}=\cfrac{100}{x}\implies 25x=700\implies x=\cfrac{700}{25}\implies x=28\)

Answer:

60

Step-by-step explanation:

Let's name "a number" "q."

The expression we can set up is 6+9q

Plug 6 in for q.

6+9(6)

6+54

60

Answer:

Step-by-step explanation:

Given data

distance of the route = 15miles

time taken on Monday= 1.75hours

speed= distance./time

speed= 15/1.75

speed= 8.57 miles per hour

her smart watch is correct

time taken on Thursday= 1.63hours

speed= distance./time

speed= 15/1.63

speed= 9.20 miles per hour

she was jogging at 9.20 miles per hour

Answer:

1 = 41

2 = 49

3 = 82

4 = 52

Step-by-step explanation:

Step-by-step explanation:

m<1 = 41

m<2 = 38

m<3= 79

m<4 = 52

Answer:

First, draw a rectangle and draw 3 lines going vertically. Then, draw the diagonal lines (shown in step 3) write the 4 digit number you are multiplying with the 1 digit number on top of the table (step 2) and multiply, when you are done multiplying, add the numbers vertically. Finally, you have your answer

Step-by-step explanation:

Answer:- 617/100+i root 2

Step-by-step explanation: simplify

The video had played 104 frames when the time was equal to -3 2/5 seconds.

We can start by finding how many frames were played during the time that the timer did not start counting. Since the video plays 25 frames per second, the number of frames played during this time is 25 frames/second × several seconds = 190 frames.

Next, we need to convert the time of -3 2/5 seconds to frames. We can do this by multiplying the time by the frame rate of 25 frames/second:

-3 2/5 seconds × 25 frames/second = -86 frames

Note that the negative sign indicates that the timer is behind the actual playback time.

Finally, we add the number of frames played before the timer started counting to the number of frames that had played by the time the timer was at -3 2/5 seconds:

190 frames + (-86 frames) = 104 frames

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The length of DP in the diagram, where P is the triangle's circumcenter, is 15 units.

The point in the triangle where the perpendicular bisectors of its sides cross is known as the circumcenter.

The intersection of the perpendicular bisectors of a triangle's sides is referred to as the triangle's circumcenter. In other terms, the circumcenter is the point at where a triangle's sides intersect to form a bisector.

In the triangle given where P exists the circumcenter, we have:

AD = DB

Substitute the values in the above equation, we get

2x + 14 = 8x - 52

simplifying the above equation, we get

2x - 8x = -14 - 52

-6x = -66

x = 11

AD = 2x + 14

Plug in the value of x

AD = 2(11) + 14

simplifying the above equation, we get

AD = 36

Also, AP = BP = CP = 39

AP = 39

Considering right triangle, ADP, to find DP, apply the Pythagorean theorem:

DP = √(AP² - AD²)

substitute the values in the above equation, we get

DP = √(39² - 36²)

DP = 15 units.

Therefore, the length of DP in the diagram, where P is the triangle's circumcenter, is 15 units.

The complete question is:

If P is the circumcenter of triangle ABC, find each measure.

Find DP.

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Answer:

1 ft²

Step-by-step explanation:

Left triangle, area = 10 x 7/2 = 35 ft²

Right triangle, area = 9 x 8/2 = 36 ft²

Difference = 1 ft²

Answer

30

Step-by-step explanation

Answer:

he will have saved 45$

Step-by-step explanation:

if you take 2 from every 5 and 5 x 15 = 150, you would do 2 x 15 and get 30. So, the answer is 30$

Answer:

60

Step-by-step explanation:

turn it into a fraction.

2/5

/150

150*2=300

300/5=60

Answer:

x = 27°

Step-by-step explanation:

using the co-function identity

cos x = sin(90 - x) , then

cos63° = sin(90 - 63)° = sin27° with x = 27°

Answer:

B. $2080

Step-by-step explanation:

A.P.E.X

Answer:

4.25 in total

Step-by-step explanation:

separate it is 4 and 0.25

Answer:

Let's assume that the total number of students in the school is "x". We can create a proportion to estimate how many students would choose the aquarium based on the given information:

Number of students who chose aquarium / Total number of students in the school = Percentage of students who chose aquarium / 100

We can plug in the values we know:

80 / x = p / 100

where "p" is the percentage of students who would choose the aquarium if the entire school were surveyed.

We can solve for "x" by cross-multiplying and simplifying:

8000 = px

x = 8000 / p

Now, we need to estimate the value of "p". We can do this by finding the average percentage of students who chose the aquarium, science center, planetarium, and farm:

(80 + 60 + 30 + 40) / x = (210 / x) = Average percentage of students who chose an attraction

This tells us that, on average, 210 out of every "x" students would choose one of the attractions. We can estimate that a similar percentage of the entire school would choose the aquarium:

p / 100 = 80 / 210

p = 38.1

So, we can estimate that approximately 38.1% of the students in the whole school would choose the aquarium. To find the estimated number of students who would choose the aquarium, we can plug in this value for "p" in our original proportion:

80 / x = 38.1 / 100

Cross-multiplying and solving for "x", we get:

x = 209.71

Rounding to the nearest whole number, we can estimate that approximately 210 students in the whole school would choose the aquarium.

Step-by-step explanation:

Answer:

The teacher surveyed a total of:

80 + 60 + 30 + 40 = 210 students.

If we assume that the sample of 210 students surveyed is representative of the entire population of 1000 students at Lake Middle School, we can use the relative frequency of students choosing the aquarium in the sample to estimate the number of students in the whole school who would choose the aquarium.

The relative frequency of students choosing the aquarium in the sample is:

80/210 = 0.38

This means that approximately 38% of the students in the sample chose the aquarium.

To estimate the number of students in the whole school who would choose the aquarium, we can multiply the relative frequency by the total number of students at the school:

0.38 x 1000 = 380

Therefore, the teacher can estimate that approximately 380 students out of 1000 at Lake Middle School would choose the aquarium for a field trip.