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Svetach [21]
3 years ago
10

Marlene rides her bicycle to her friend​ jon's house and returns home by the same route. marlene rides her bike at constant spee

ds of 9 mph on level​ ground, 6 mph when going uphill and 18 mph when going downhill. if her total time riding was 1 ​hours, how far is it to​ jon's house?
Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
6 0

To solve the problem:

<span>Let f = distance one way distance on level ground</span>

<span>
Let h = distance rode on the hill</span>

<span>
Write a time equation; where Time = distance/speed:</span>

<span>

level time + uphill time + downhill time + level time = 1hr</span>

<span>
</span>

<span>f/9 + h/6 + h/18 + f/9 = 1 hr</span>

<span>

Multiply equation by 18 to get rid of the denominators</span>

<span>
</span>

 

2f + 3h + h + 2f = 18


4f + 4h = 18


Simplify by dividing this by 4


<span>f + h = 4.5 miles is took her to get to Jon’s house.</span>

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What should be added to 66.778 get 78.2​
maks197457 [2]

Answer:

11.422

Step-by-step explanation:

78.2 - 66.778   \\ = 11.422

7 0
3 years ago
Solve for x. Round your answer to 2 decimal places.
Gala2k [10]

Answer:

93.99

Step-by-step explanation:

sin rule is:

sin A ÷ a = sin B ÷ b = sin C ÷ c

A B C are angles

a b c are the lengths opposite to each angle

to find angle opposite to x:

180- (90+57) = 33°

180: sum of angles in a traingle

90: since its a right angle traingle

to find x:

sin 57 ÷ 41 = sin 33 ÷ x

rearrange:

x= (sin 33 x 41) ÷ sin 57

x= 93.99 (2 d.p/2 decimal places)

8 0
3 years ago
45% of 80.374 is a number between
tatiyna

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36.1683

Step-by-step explanation:

45*80.374/100=

7 0
3 years ago
PLEASE HELP ASAP!!
natita [175]

We can infer and logically deduce that the arc intersected by these chords are not congruent.

<h3>What is a circle?</h3>

A circle can be defined as a closed, two-dimensional curved geometric shape with no edges or corners. Also, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point (central axis).

In Geometry, a circle is generally considered to be a conic section which is formed by a plane intersecting a double-napped cone that is perpendicular to a fixed point (central axis) because it forms an angle of 90° with the central axis.

<h3>What is an arc?</h3>

In Geometry, an arc can be defined as a trajectory that is generally formed when the distance from a given point has a fixed numerical value.

Let the radii of the two (2) different circles with center O and O' be r₁ and r₂ respectively. Also, two (2) isosceles triangles AOB and COD would be formed and as such we have:

AO = OB = r₁.

CO = O'D = r₂.

By critically observing the diagram (see attachment) of these circles, we can logically deduce that the arc intersected by chord AB is greater than the arc intersected by the chord CD.

This ultimately implies that, the arcs intersected by these chords are not congruent.

Read more on arcs here: brainly.com/question/11126174

#SPJ1

<u>Complete Question:</u>

Two circles with different radii have chords AB and CD, such that AB is congruent to CD. Are the arcs intersected by these chords also congruent? Explain.

Hint: It would be helpful to draw two circles and label them according to the given information, then evaluate possible arc measures.

Consider the type of triangle that may be drawn by connecting the endpoints of a chord to the center of a circle. Compare the triangles made by two circles with different radii.

3 0
1 year ago
Find the percentage decrease when 94 decreases to 23.5​
AveGali [126]

Answer:

75%

Step-by-step explanation:

(94-23.5)/(94)*100=75%

4 0
3 years ago
Read 2 more answers
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