Find the answer to the conversion from the previous question, converting 10.49 seconds for the 100 meter dash to miles per hour. Round to the nearest tenth of a mile per hour.___ mi/hr

Step-by-step explanation:

sin Φ  = 5/6 = .8333

Arcsin ( sin Φ) =  arcsin (.8333)

Φ = 56.4 degrees

Answer:

88.29joules

Step-by-step explanation:

mgh=gravitational potential energy

(15kg)(9.81)(0.6)= 88.29joules

Answer: False

Step-by-step explanation:

25% of the data is between Q1 and the median.

Answer:

6,270

Step-by-step explanation:

hope this helps

Using word problems and equations, Sarah worked for 10 hours and Penelope worked for 5 hours

This is a word problem and in order to solve this, we need to translate mathematical statements in form of word problems into mathematical equations.

Let's assume that Sarah worked x hours.

Given that Sarah can iron 30 shirts per hour, the total number of shirts she ironed is 30x.

Since Penelope worked half the hours of Sarah, Penelope worked x/2 hours.

Given that Penelope can iron 35 shirts per hour, the total number of shirts she ironed is 35 * (x/2) = (35/2)x.

The total number of shirts ironed by both Sarah and Penelope is 475 shirts.

So, we can write the equation: 30x + (35/2)x = 475.

To solve this equation, we can simplify it: (60/2)x + (35/2)x = 475, which becomes (95/2)x = 475.

Now, we can solve for x: x = (475 * 2) / 95 = 10.

Therefore, Sarah worked 10 hours and Penelope worked half of that, which is 5 hours.

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Answer:I am not sure I will ask and have a pro answer it.

Step-by-step explanation:

Answer:

the actual distance between the two towns is 760 miles.

Step-by-step explanation:

We can use the scale on the map to convert the length on the map to the actual distance. According to the scale, 1/4 inch on the map represents 5 miles. So we can set up a proportion:

1/4 inch : 5 miles = 38 inches : x miles

where x is the actual distance between the two towns.

To solve for x, we can cross-multiply:

(1/4) * x = 5 * 38

x = (5 * 38) / (1/4)

x = 5 * 38 * 4

x = 760

So the actual distance between the two towns is 760 miles.

Answer:

Los números son 23 y 35.

Step-by-step explanation:

Q: The sum of two numbers is 58. If one of the numbers is 12 more than the other number, what are the numbers?

Set the numbers as x and y. Using the given information, we have two equations:

x+y=58

x=y+12

Solving using substitution, we have:

y+y+12=58 -> y=23

Substituting, x=23+12=35

The numbers are 23 and 35.

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

\(9(k+12) + 4k^{2}\)

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Answer:

Step-by-step explanation:

If 11 flights were sampled with an 85% on-time arrival rate, the number of flights from the sample that arrived on time would be estimated to be 9.35, which would round to 9 flights.

This can be solved by:

(0.85x11)= 9.35

Since there can't be .35 of a flight, we would round to the nearest whole number, which would just be 9.

The final answer= 9 flights

The areas of the pentagon, Equilateral triangle, and Hexagon are 139.35 square units, 125.14 square units, and  259.8 unit square respectively.

What is the Area of a Regular Polygon?

The area of a regular polygon is the space enclosed by the boundary of the regular polygon. In other words, the area of a regular polygon is the area that is enclosed by it.

1). A pentagon is given with a side length of 9 mm.

So,

Area of Regular Pentagon = (1/4) ×√[5(5+2√5)] × a² square units

Where “a” is the side length of the pentagon

=  (1/4) ×√[5(5+2√5)] × (9)²

= 139.35 square unit

2). A Equilateral triangle is given with a 17 ft side length.

Area of Equilateral triangle = (√3a²) /4 square units

Where “a” is the side length of an equilateral triangle

so,

=  (√3(17)²) /4

= 125.14 square units

3) Hexagon with 10-unit side length:

Area of Regular Hexagon = [3√3a2]/2 Square units

Where “a” is the side length of the hexagon.

So,

= [3√3(10)²]/2 Square units

= 259.8

hence, the areas of the pentagon, Equilateral triangle, and Hexagon are 139.35 square units, 125.14 square units, and  259.8 unit square respectively.

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Hope this helps :p

<3

Sarah's fuel efficiency is approximately 32.91 miles per gallon.

From the question, we are to calculate Sarah's fuel efficiency.

To find Sarah's fuel efficiency in miles per gallon, we need to convert the distance she drove to miles and the amount of gasoline she used to gallons.

From the given information,

1 km = 0.6214 mi

1 gal = 3.8 L

First, let's convert the distance from kilometers to miles:

691.4 km × 0.6214 mi/km = 430.10196 mi

So, Sarah drove a distance of 430.1 miles.

Also,

Convert the amount of gasoline from liters to gallons:

49.7 L ÷ 3.8 L/gal = 13.0789 gal

So, Sarah used 13.0789 gallons of gasoline.

Calculate her fuel efficiency in miles per gallon:

Fuel efficiency = distance ÷ gasoline used

Fuel efficiency = 430.1 mi ÷ 13.0789 gal

Fuel efficiency = 32.9065 mi/gal

Hence, Sarah's fuel efficiency is 32.91 mi/gal

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Answer:

4.7 · 10^7

Step-by-step explanation:

A conditional statement is one that has the syntax "If P then Q," with P and Q denoting sentences. P is referred to as the hypothesis and Q is referred to as the conclusion for this conditional statement. The implication of "If P then Q" is that whenever P is true, Q must also be true.

An illustration of a conditional statement?

Example: A conditional statement is present. In the event of rain, we will not play. Let's say A: It's raining and B: We're not going to play. If A is true—that is, if it is raining—and B is false—that is, if we played—then A implies that B is untrue.

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Answer: there you go :)

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

We set up our equations:

35x+40y = 1850        eq1

x+y = 50                   eq2

Substituting eq 2 into eq 1,

35x+40(50-x) = 1850

35x+2000-40x = 1850

-5x+2000 = 1850

-5x = -150

  x = 30

Substitute value of x into eq 2.

x+y = 50

30+y = 50

     y = 20

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Answer:

9, 8, 7

Step-by-step explanation:

This is the rank of the cards from highest to lowest and the terms are:

So the next 3 terms are 9, 8, 7

The value of the height of the rectangle is 80 m.

The rectangle is a quadrilateral.  The classification for quadrilaterals is given by the length of sides and angles. For a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

A rectangle is a geometric figure that has 4 sides called: length and height. Due to its characteristics, the rectangle presents two length (L) and two heights (H).

The perimeter is the sum of all sides of a geometric figures. For a rectangle, the perimeter is 2L+2H.

The question gives:

From the perimeter, you can find the height, see below.

P=2L+2H

360=2*(20 + H) +2H

360= 40 +2H +2H

360-40 = 4H

320= 4H

320/4 = H

80=H

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Based on the given information

a) second quadrant

b) first quadrant

In the quadrants, all the sine functions are positive for the first quadrant

only sine is positive on the second quadrant

only tan is positive on the third quadrant

only cos is positive on the fourth quadrant

for Ф less than 0  then tan is not negative hence the angle should not be in first quadrant and third quadrant.

for Ф greater than 0  then sine is not positive hence the angle should be in first quadrant or second quadrant.

comparing both we can conclude that the angle is in second quadrant

Similarly

for Ф greater than 0  then sine is not positive hence the angle should be in first quadrant or second quadrant.

for Ф greater than 0  then cos is not positive hence the angle should be in first quadrant or fourth quadrant.

comparing both we can conclude that the angle is in first quadrant

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Answer:

System 1 has an infinite number of solutions and System 11 has no solution.

Step-by-step explanation:

System 1:

x = y - 3

x - y = -3

2x - 2y = -6

Divide above by 2:

x - y = -3

So the 2 equations are identical

and they have an infinite number of solutions.

System 11:

5x + 2y = -7

15x + 6y = 21

Divide the above by 3:

5x + 2y = 7

Comparing this to the first equation the left sides are the same but right sides are different ( -7 and  7)/

There is no solution to this system.

The sum of integers from 33 to 47 is 600.

So, the sum of integers:

Simply perform addition as follows:

Therefore, the sum of integers from 33 to 47 is 600.

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actual question?:  -3 < p < 7 and -2 < q < 5

Answer:

-3

Step-by-step explanation:

p*q=-3

they told you the answer?

Based on the graph of logarithmic function log6(x – 1) = log2(2x + 2), the statement true about the graph is that the curves do not intersect. (Option A)

In the given case, two logarithmic functions are given: log6(x – 1) and log2(2x + 2). The graph of inverse function of any function is the reflection of the graph of the function about the line y=x . All logarithmic graphs in the form f(x)=logb(x) will have a vertical asymptote on the y-axis and an x-intercept at (1, 0) and will pass through (b , 1). Graphing the given function which is attached, it can be seen that the two curves do not intercept and indicates that the equation has no solution.

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The lengths of sides are 20 and  12.3.

The measure of angles are 128 and 55.

Given:

5. As, the opposite sides of the parallelogram are equal.

b+ 14.5 = 20.5

b = 20.5 - 14.5

b = 6

and, the lengths are: b+ 14.5 = 6 + 14.5 = 20 and 3b-6.3 = 18-  6.3 = 12.3

6. Now, the adjacent angle in parallelogram are supplementary

8s + 5 + 3s + 10 = 180

11s + 15 = 180

11s = 165

s = 15

So, the angles are:

8s + 5= 8(15)+ 8= 128 and 3s+10 = 3(15)+10 = 55

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The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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The value of y in the triangle is 2√10 units.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The value of y can be found using the similar triangle ratios as follows:

Hence,

8 / y = y / 5

cross multiply

y² = 8 × 5

y²= 40

square root both sides of the equation

y = √40

Therefore,

y = 2√10 units

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The solution to the system of inequalities in interval notation is [-2, 1].

Based on the information provided in the image below, we have the following system of inequalities;

-12 < 3x - 6

-3 ≥ 3x - 6

By adding 6 to both sides of the equation (inequality), we have;

-12 < 3x - 6

-12 + 6 < 3x - 6 + 6

-6 < 3x

-2 < x

x > -2 (flip)

-3 ≥ 3x - 6

-3 + 6 ≥ 3x - 6 + 6

3 ≥ 3x

1 ≥ x

x ≤ 1

Therefore, the solution to the system of inequalities is given by:

-2 < x ≤ 1

In interval notation, we have [-2, 1].

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Part A:

The graph of the line intersects the x-axis at the point (4, 0).

Part B:

The point represents the distance of Shari from the home.

After 4 minutes, Shari rushed past her house.

A function graph is a visual representation of a relation. A function is actually equal to its graph in set theory and current mathematical foundations. For instance, when deciding whether or not a function is onto (surjective), a codomain should be taken into account. The graph of a function alone does not reveal the codomain. Although they relate to the same thing, the terms "function" and "graph of a function" communicate different perspectives on it, which is why they are commonly employed.

The line's x-intercept is 4 minutes.

The time Shari will arrive at her house is indicated by the 4 minutes.

Shari's distance from home on her run across town is represented by the line 6x - 3y = 24......... (1), where y stands for blocks, and x for minutes.

Therefore, when y = 0, we obtain 6x - 0 = 24, which equals x = 4, from equation (1) above.

As a result, 4 minutes is the x-intercept of the line (1).

It is stated that Shari will get at her house in 4 minutes, and there are no blocks between them.

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