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2 years ago

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Wes walks from home to a friend's house to borrow a bicycle, and then rides the bicycle home along the same route. By walking at

4 mph and riding at 8 mph, Wes takes 45 minutes for the whole trip. Find the distance that Wes walked.

1 answer:

olchik [2.2K]2 years ago

8 0

<span>34.15 minutes is how long he traveled on foot.</span>

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a triangle has sides that measure 4 units 6 units and 7.21 units what is the area of a circle with a circumference that equals t

goldfiish [28.3K]

Answer:

Area of the circle = 24 square units.

Step-by-step explanation:

A triangle has sides that measure 4 units 6 units and 7.21 units

We are told that the Perimeter of the Triangle = Circumference of a circle.

We are to find the Area of the circle.

Step 1

Find the Perimeter of the triangle

Perimeter = A + B + C

Perimeter = 4 units + 6 units + 7.21 units

Perimeter of the Triangle = 17.21 units

Step 2

Find the radius

We were asked to find the area of the circle.

We were not given the radius of the circle in the question. But we can find it because we are given the circumference of the circle.

Circumference of the circle = 2πr

Perimeter of the triangle = Circumference of the circle

Hence the circumference of the circle = 17.21 units.

π = 3.14

Radius of the circle = Circumference of a circle/ 2π

= 17.21/2 × 3.14

= 17.21/6.28

= 2.7404458599

Approximately = 2.74 units

Step 3

Find the Area of the circle

We know the radius of the circle hence,

Area of the circle = πr²

Area of the circle = 3.14 × 2.74²

= 23.573864 square units.

Approximately to the nearest whole number ≈ 24 square units.

6 0

2 years ago

Two trains start from Fort Worth traveling at the same speed. The trip for Train W takes 20 hours, while the trip for Train Z ta

MrMuchimi

Answer:

The equation that best models this situation is :

b. $\frac{x}{20}=\frac{x+400}{25}$

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

<em>Let length of the trip of Train W be </em>= $x$ miles

Speed of Train W can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x}{20}\ miles/h$

<em>So, the length of the trip of Train Z will be</em> = $(x+400)$ miles

Speed of Train Z can be given as :

⇒ $\frac{Distance}{Time}$

⇒ $\frac{x+400}{25}\ miles/h$

Since the speeds are same, so the equation to find $x$ can be given as:

⇒ $\frac{x}{20}=\frac{x+400}{25}$

Solving for $x$

Multiplying both sides by 100 to remove fractions.

⇒ $100\times \frac{x}{20}=100\times \frac{x+400}{25}$

⇒ $5x=4(x+400)$

Using distribution.

⇒ $5x=4x+1600$

Subtracting both sides by $4x$

⇒ $5x-4x=4x-4x+1600$

⇒ $x=1600$

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = $1600+400$ = 2,000 miles

3 0

2 years ago

which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11

Valentin [98]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

3 0

2 years ago

Read 2 more answers

A scale model of a house is 1 ft. long. The actual house is 50 ft long. In the model, the window is 1 1/5 in. high. How many fee

stich3 [128]

First, identify the ratio:
1:50 (1 foot on the model is 50 feet on the house)
to find the actual height of the window multiply 1 1/5 by 50
$\frac{6}{5}$ * $\frac{50}{1}$ = $\frac{300}{5}$
300/5 simplifies into 60
the height of the real window is 60 feet

6 0

2 years ago

If PQ=RS, which of the following must be true?

maw [93]

<u>Answer:</u>

If PQ=RS then PQ and RS have the same length. Hence option D is correct

<u>Solution:</u>

Given that, pq = rs

And, we have to find which of the given options are true.

<u><em>a) pq and rs form a straight angle </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>b) pq and rs form a zero angle. </em></u>

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

<u><em>c) pq and rs are same segment. </em></u>

If two things equal then there is no condition that both represents a single item.

So this statement is false.

<u><em>d) pq and rs have the same length </em></u>

As given that pq = rs, we can say that they will have the same length

Hence, option d is true.

4 0

2 years ago