If you can walk 5.3 miles in 3.2 hours, how many minutes does it take to walk 1.74 miles?

Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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Answer:

9=11

Step-by-step explanation:

Answer:

Step-by-step explanation:

At equilibrium price and quantity, the answer is 1. The quantity supplied equals the quantity demanded.

This means that the market is in a state of balance, where the quantity of a good or service that producers are willing to supply is exactly the same as the quantity that consumers are willing to buy. As a result, there is no excess supply or excess demand, and the price of the good or service is stable.

Order of the animals from fastest to slowest is Great white shark (23 mph), stingray (22 mph) and dolphin (20 mph).

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity, as it has only direction and no magnitude.

Given that, A dolphin travels 5 mi in 15 min, a stingray travels 11 mi in 30 min and a great white shark travels 92 mi in 4 hrs

Speed = Distance/time

So, speed of dolphin = 5/.25 = 20 mph

speed of stingray = 11/.5 = 22 mph

speed of great white shark is 92/4 = 23 mph

Hence, The required order is the great white shark > stingray > dolphin

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Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

Answer:

C

Step-by-step explanation:

Fuel tank capacity: 20 gallons

Average speed: 17 miles per gallon of gas

The number of miles that Danny's truck travels on g gallons of gas is given by the expression:

The domain of this function is given by:

Because the tank capacity is 20 gallons.

For the range, we evaluate the function at the bounds:

Answer: Changing the radius of an object by a given amount has a greater effect on the volume than changing the height by the same amount. The volume of a cylinder is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. If we change the radius by a given amount, say x, the new radius would be r+x. Hence, the new volume would be V' = π(r+x)²h = π(r²+2rx+x²)h = V + 2πrxh + πx²h. We can see that the volume change equals 2πrxh + πx²h. The first term is proportional to both the radius and the height, whereas the second term is proportional to the square of the radius and the height. Assuming that the height change is also x, the new volume would be V'' = πr²(h+x) = V + πr²x. We can see that the volume change is proportional to the radius squared and the change in height. Therefore, changing the radius by a given amount has a greater effect on the volume than changing the height by the same amount.

Yes, the given figure is a parallelogram.

In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

Given is a parallelogram as shown in the image.

We have -

S(0, 0), T(3, 0), U(4, 3), V(1, 3)

For the figure to be parallelogram, we will have to prove -

ST = VU   &   SV = TU

We can calculate -

ST = 3

VU = 3

SV = 3.1

TU = 3.1

So -

ST = VU   &   SV = TU

Hence, it is a parallelogram.

Therefore, yes, the given figure is a parallelogram.  

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After the double rotation, the vertices of the quadrilateral MNPQ are transformed to M'', N'', P'', and Q''. The shape of the quadrilateral may have changed, but the order of the vertices remains the same.

When a quadrilateral MNPQ is rotated counterclockwise at 90 degrees about the origin, each vertex undergoes a transformation.

The new positions of the vertices after this rotation can be denoted as M', N', P', and Q'. The order of the vertices remains the same.

Next, when the rotated quadrilateral M'N'P'Q' is further rotated counterclockwise at 270 degrees about the origin, each vertex undergoes another transformation.

The new positions of the vertices after this rotation can be denoted as M'', N'', P'', and Q''. Again, the order of the vertices remains the same.

It's important to note that a 270-degree counterclockwise rotation is equivalent to a 90-degree clockwise rotation.

The result of the double rotation is equivalent to a single clockwise rotation of 90 degrees.

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The measure of side length EF in the right triangle is 24.

The Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.

It is expressed as;

c²  = a² + b²

From the diagram:

Hypotenuse DE = c = 26

Leg DF = a = 10

Leg EF = b = ?

Plug in the values and solve for b:

c²  = a² + b²

26²  = 10² + b²

676  = 100 + b²

b² = 676  - 100

b² = 576

b = +√576 ( we take the positive value since we are dealing with dimensions)

b = 24

Therefore, the length EF is 24.

Option C)24 is the correct answer.

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Answer:

95

Step-by-step explanation:

just did it on ed

Answer:

171 > 117

Step-by-step explanation:

171 is greater than 117 meaning the alligator is eating the bigger number, 171.

Based on the information, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

It should be noted that to prove the commutativity of the logical connectives ∧ (conjunction) and ∨ (disjunction), we need to show that they satisfy the commutative property

From the truth table, both P ∧ Q and Q ∧ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∧ Q ≡ Q ∧ P, and ∧ (conjunction) is commutative.

In order to prove P ∨ Q ≡ Q ∨ P, we construct a truth table for both expressions. Both P ∨ Q and Q ∨ P have the same truth values for all combinations of truth values of P and Q. Therefore, we can conclude that P ∨ Q ≡ Q ∨ P, and ∨ (disjunction) is commutative.

Hence, both ∧ (conjunction) and ∨ (disjunction) satisfy the commutative property.

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Point A is a solution to the system of inequalities for the given coordinate grid.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given coordinate grid shows points A through K.

The system of inequalities is given, as follows:

y ≤ -2x + 10

y > (1/2)x - 2

The solution to the system of inequalities is the region that is above the line for the second inequality and below the line for the first inequality. This region is the shaded region that lies between the two lines, which represents the set of points that satisfies both inequalities.

Thus, point A is a solution to the system of inequalities

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Answer:

Step-by-step explanation:

Answer:

1/125

-5.06 is less than -5.6

-1 3/4 is less than 3/4

2 3/4 is less than 2 4/6

Sorry my handwriting is so bad!!

Answer:

B.    f(2) = 63

Step-by-step explanation:

I got this answer correct on the quiz on Gradpoint.

Answer: 90 mm²

Step-by-step explanation:

        We will use the given formula for surface area, substitute known values, and simplify by multiplying and adding.

      SA = 2(wl + hl + hw)

      SA = 2((2 mm)(5 mm) + (5 mm)(5 mm) + (5 mm)(2 mm))

      SA = 2(10 mm² + 25 mm² + 10 mm²)

      SA = 2(45 mm²)

      SA = 90 mm²

Among the given options, 90 degrees (option A) is not a solution to the equation sin(2θ) = 1. The equation sin(2θ) = 1 represents the values of θ for which the sine of twice the angle is equal to 1. To determine which option is not a solution, we need to evaluate each choice.

A) 90 degrees: If we substitute θ = 90 degrees into the equation sin(2θ) = 1, we get sin(180 degrees) = 1. However, sin(180 degrees) is actually 0, not 1. Therefore, 90 degrees is not a solution to the equation sin(2θ) = 1.

B) 45 degrees: Substituting θ = 45 degrees gives sin(90 degrees) = 1, which is true. Therefore, 45 degrees is a solution to the equation sin(2θ) = 1.

C) 225 degrees: When we substitute θ = 225 degrees, we get sin(450 degrees) = 1. However, sin(450 degrees) is also 0, not 1. Thus, 225 degrees is not a solution to sin(2θ) = 1.

D) -135 degrees: Similarly, substituting θ = -135 degrees gives sin(-270 degrees) = 1. However, sin(-270 degrees) is 0, not 1. Hence, -135 degrees is not a solution to the equation sin(2θ) = 1.

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The triangle ABC seems to be an scalene triangle since all of the sides AB, BC and CA have different lengths, and also the triangle is not a right angled triangle.

A scalene triangle is a type of triangle in which all three sides have different lengths. In other words, none of its sides are of equal length. As a result, all three angles in a scalene triangle are also different. It is different from an Isosceles triangle, where at least two sides are of equal length and an equilateral triangle where all sides are of equal length.

A right triangle is a type of triangle in which one angle is a right angle (90 degrees). This makes it different from other types of triangles such as acute triangle and obtuse triangle. The side opposite to the right angle is called the hypotenuse, and the other two sides are called legs. The Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. This theorem is used to determine if a triangle is a right triangle or not.

The triangle ABC is a scalene triangle, as its sides have different lengths.

To determine whether it is a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the lengths of the two shorter sides (legs) is equal to the square of the length of the longest side (hypotenuse).

To find the side lengths, we can use the distance formula, which is

d = √((x2 - x1)² + (y2 - y1)²)

AB = √((9 - 6)² + (3 - 6)²) = √(3² + (-3)²) = √18 = 3√2

BC = √((9 - 2)² + (3 - 2)²) = √(7² + 1²) = √50 = 5√2

AC = √((2 - 6)² + (2 - 6)²) = √(4² + 4²) = √32 = 4√2

We know that in a right triangle, one of the side should be the hypotenuse and the other two should be the legs. We can check if any one of the side is satisfying that. But in this case, we can see that none of the sides are satisfying that condition, therefore the triangle ABC is not a right triangle.

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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The mode of the data represented in this line plot will be 8.

Simply counting how several times each number looks in the data set can help you identify the mode, which is the integer that repeats the most frequently in the collected data. The figure with the largest total is the mode.

The value that appears the most frequently in data collection is its mode. By examining the line plot, we can observe that the number 8 and the six Xs above it are the most commonly occurring values. Consequently, 8 represents the data set's mode.

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Answer:

Both A and B

Step-by-step explanation:

Both a and b. A three-way intersection can be referred to as a T-intersection or a Y-intersection, depending on the shape of the intersection. In a T-intersection, one road intersects another road perpendicularly, forming a T-shape. In a Y-intersection, one road splits into two branches, forming a Y-shape.

Answer:

3 hours and 51 minutes

Step-by-step explanation:

Take the ending time and subtract the start time

3:13pm - 11:22am

Remember that pm means aft 12 o'clock in the after noon so add 12 hours

12+3:13 - 11:22

15:13 - 11:22

We are subtracting more minutes than we have so we have to borrow from the hours

1 hour = 60 minutes

14 : 60+13 - 11:22

14:73 - 11:22

3: 51

3 hours and 51 minutes

The flight was 3 hours 51 minutes long

From the question,

We are to determine how long the flight was

The time the flight = Arrival time - Departure time

First, we will convert the given times to 24:00 hour clock

Departure time = 11:22 am = 11:22

Arrival time = 3:13 pm = 15:13

∴ The time of flight = 15:13 - 11:22

The time of flight = 3:51

That is,

The time of flight = 3 hrs 51 mins

Hence, the flight was 3 hours 51 minutes long

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Answer:

x=3.85

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Step-by-step explanation:

Question:

x+3.6= −4.75

Step 1:

Subtract  3.6 from both sides of the equation

x+3.6-3.6=-4.75-3.6

Step 2:

Subtract the Numbers and simplify

x=3.85

Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0