The Bear Lake in Idaho is 24 miles long. Suppose John starts cycling at one end at 20 mph and Ramona starts at the other end at 16 mph. How long would it take them to meet?

A. 30 min

B. 35 min

C. 40 min

D. 45 min

E. 50 min​

Answer:

the answer is 122

Step-by-step explanation:

Answer:

60°

Step-by-step explanation:

Alternate angle theorem applies here as the triangle in between will have an upper angle of 60 therefore x will be 60 as well.

Answer:

4

Step-by-step explanation:

Considering the concept of a sample space, a situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.

The sample space is the set that contains all possible outcomes for an experiment.

In this question:

Thus:

6n = 36 -> n = 6.

A situation with a sample space of 36 outcomes would happen with a spinner of 6 equal sides.

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The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:

In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.

Note: Assuming angle 1 is equal to 60 degrees.

In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:

m∠1 ≅ m∠3 = 60°.

Based on the linear pair postulate, the measure of angle 2 can be determined as follows;

m∠1 + m∠2 = 180°

60° + m∠2 = 180°

m∠2 = 180° - 60°

m∠2 = 120°

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Answer:

Number

Rounded to Nearest Hundredth

1

1

1.006

1.01

1.012

1.01

1.018

1.02

Step-by-step explanation:

Answer:

6,000

Step-by-step explanation:

1 ton is 2,000 pounds, so 3 tons are 6,000 pounds because 2,000 x 3 = 6,000.

Have a great day!

The missing side in the given triangle is x = √193 km

The Pythagoras theorem is expressed as;

x^2 = a^2 + b^2

where

x is the longest side

Substitute the given side

x^2 = 12^2 + 7^2

x^2 = 144 + 49

x = √193 km

Hence the missing side in the given triangle is x = √193 km

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Answer:

sorry I'm late but it's b I'm on unit test on edge

Answer: it is b

Step-by-step explanation:

Answer:y=3x+15

Step-by-step explanation: (1,18), (2,21), (3,24), (4,27), (5,30) domain is your x values 1,2,3,4,5. Range is your y values. I’d assume someone wouldn’t pay $15 for 0 poses.

The function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

Given that, a photographer charges a sitting fee of $15 plus $3 for each pose.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Let the number of poses be x and the total cost be y.

The function for the given situation is y=15+3x

Thus, f(x)=15+3x

For 5 poses:

Put x=5 in the obtained function, we get

f(5)=15+3(5)

= 15+15

= 30

So, the ordered pair is (5, 30)

Hence, the function for the given situation is f(x)=15+3x and  a reasonable domain and range for up to 5 poses is 5 and 30 respectively.

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√(a² + b²)²  - 4a²b²cos²θ is the product of the lengths of the two diagonals is given by the expression.

What is a mathematical expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. This mathematical operation may be addition, subtraction, multiplication, or division.

                                An expression's structure is as follows: Number/variable, Math Operator, Number/Variable is an expression.

we have AB as a, AD as b and the angle between them is theta.

So using the cosine rule, we have

  BD = √a² + b² - 2abcosθ

So now consider the triangle ABC

Here AB is a, BC is b and the angle is 180-theta

So using cosine rule, we get AC as

   AC = √a² + b² - 2abcosθ( 180 - θ )

    AC = √a² + b² - 2ab(-cosθ )

    AC = √a² + b² - 2abcosθ

Now we have the two diagonals AC and BD. So multiplying, we get

 AC × BD = √a² + b² + 2abcosθ × √a² + b² - 2abcosθ

Simplifying, we get

AC × BD = √(a² + b² + 2abcosθ) × (√a² + b² - 2abcosθ)

AC × BD = √(a² + b²)² - (2abcosθ)²

AC × BD = √(a² + b²)²  - 4a²b²cos²θ

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Answer:

GH = a unit

Step-by-step explanation:

From the diagram shown, we are told that line AB is parallel to CD. This shows that the distances of the lines perpendicular to these lines are also equal in length. Hence;

EF = GH

Since EF = a unit, then, GH = a unit

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation. The right answer is D.

A form possesses rotational symmetry, often referred to as radial symmetry, when it maintains its appearance following a partial turn rotation.

The number of alternative orientations in which an object can seem exactly the same for each revolution is the degree of rotational symmetry of that object.

Because of rotational symmetry, the figure should maintain its original appearance  even when rotated. So a rhombus is the shape that exhibits rotational symmetry. So, D is the right answer.

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Answer:

2131 km

Step-by-step explanation:

The Pythagorean theroeom states that a^2+b^2=c^2. We know that Earth's radius is 6314, so we know one of the shorter sides, (a). side c, the hypotenuse, is 6314 km plus 350 km. Plug it into the equation and then solve for b.

6314^2+b^2=6664^2

b^2=4542327

sqaure root each side and you have your answer!

Answer:

170, 171, 172

Step-by-step explanation:

x + x + 1 + x + 2 = 513

3x + 3 = 513

3x = 510

x = 170

x + 1 = 171

x + 2 = 172

Answer:

The answer to the question was

379.9

Answer:

C

Step-by-step explanation:

All sides make a cube

Answer:

D

Step-by-step explanation:

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

We have,

To evaluate the limit of the expression as x approaches 0, we can simplify the expression first.

The expression is given as lim(x approaches 0) (cosec(2x) - x cosec³(x)).

Using trigonometric identities, we can rewrite cosec(2x) as 1/sin(2x) and cosec³(x) as 1/(sin(x))³.

Substituting these into the expression,

We get lim(x approaches 0) (1/sin(2x) - x (1/(sin(x))³)).

Now, let's evaluate the limit term by term:

lim(x approaches 0) (1/sin(2x)) = 1/sin(0) = 1/0 (which is undefined).

lim(x approaches 0) (x (1/(sin(x))³))

= 0 (1/(sin(0))³)

= 0 x 1/0 (which is also undefined).

Since both terms of the expression are undefined as x approaches 0, we cannot determine the limit of the expression.

Therefore,

The limit lim(x approaches 0) (cosec(2x) - x*cosec³(x)) is undefined.

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Answer:

11.43

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The number 27.9 is 68.05 percent of 41.

We have,

To find what percent 27.9 is of 41, we can use the following formula:

Percentage = (27.9 / 41) * 100

Calculating this expression:

Percentage = (27.9 / 41) * 100 ≈ 68.0487

Rounded to the nearest hundredth of a percent, the answer is approximately 68.05%.

Thus,

The number 27.9 is 68.05 percent of 41.

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Answer:

1384.7

Step-by-step explanation:

42/2     21^2x3.14=1384.74

Hope this Helps :)

Answers:

==========================================

Explanation:

Answer:

1. X-intercept=3/2

Y-intercept=3

2. X-intercept=5/2

Y-intercept=-5

3. X-intercept=5

Y-intercept=-3

Answer:

\(3x + 2y = 6 \\ \boxed{\frac{x}{2} + \frac{y}{3} = 1} \)

\(4x - 2y = 10 \\ \boxed{ \frac{x}{ \frac{5}{2} } + \frac{y}{ (- 5)} = 1}\)

\( - 3x + 5y = - 15 \\ \boxed{ \frac{x}{5} + \frac{y}{( - 3)} = 1}\)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

3 7/12

Step-by-step explanation:

5/6+2 3/4

5 x 2/6 x 2+3 x 3/4 x 3

10/12+9/12=19/12=1 7/12

2+1 7/12= 3 7/12

There u go :)

Answer:

The answer is D. Cone

Step-by-step explanation:

It is true, Mai can conclude that the diagonal WY bisects the angles ZWX and ZYX

Since Mai has proven triangles WYZ and WYX to be congruent by the SSS triangle Congruence Theorem, she can conclude that:

Diagonal WY bisects angles ZWX and ZYX because:

all corresponding parts of both triangles are congruent. (Option A).

If two triangles are proven to be congruent to each other, it means that all three pairs of corresponding sides and angles of both triangles are congruent and equal to each other.

Thus, since Mai has proven triangles WYZ and WYX to be congruent by the SSS Triangle Congruence Theorem, therefore, all corresponding parts of both triangles are congruent.

If this is so, then Mai can conclude that angles ZWX and ZYX are bisected by diagonal WY. (Option A is correct).

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There must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

To prove the existence of a vertex u in tree T such that the distance between u and v is at most (n-1)/2, we can employ a contradiction argument. Assume that such a vertex u does not exist.

Since the number of vertices in T is odd, there must be at least one path from v to another vertex w such that the distance between v and w is greater than (n-1)/2.

Denote this path as P. Let x be the vertex on path P that is closest to v.

By assumption, the distance from x to v is greater than (n-1)/2. However, the remaining vertices on path P, excluding x, must have distances at least (n+1)/2 from v.

Therefore, the total number of vertices in T would be at least n + (n+1)/2 > n, which is a contradiction.

Hence, there must exist a vertex u in T such that the distance between u and v is at most (n-1)/2.

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The range, which is the distance between the smallest and greatest linear equation values in the data,  does not take into account the distribution of the data within that range.

In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.

Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.

Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.

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