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Helen [10]
4 years ago
15

The distance from Fort Worth to Fresno is 1,530 miles. If a cyclist maintains an average speed of 17 miles per hour, how many ho

urs will it take him to travel from Fort Worth to Fresno
Mathematics
1 answer:
Tju [1.3M]4 years ago
3 0

The time take for the cyclist to travel from Fort Worth to Fresno is 90 \ hours

Explanation:

It is given that the distance from Fort Worth to Fresno is 1,530 miles.

The average speed of the cyclist is 17 miles per hour.

The time travelled by the cyclist can be determined using the formula,

Distance=Speed \times Time

Substituting the value of distance and speed, we get,

1530=17\times Time

Dividing both sides by 17, we get,

90 =Time

Thus, the time take for the cyclist to travel from Fort Worth to Fresno is 90 \ hours

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Ostrovityanka [42]
This is a parabola, meaning the equation is a quadratic, so it has 2 roots or x-intercepts, keeping in mind that vertex will lie half-way between those intercepts.

so what's the x-value halfway between -3 and 7?  yeap, you guessed it, 2.

so the axis of symmetry for this vertical parabola will be at x = 2.
7 0
3 years ago
Write an equation in point-slope form for the line with a slope of -9 that passes through (-1,-3)
Elena L [17]

Answer:

y+3=-9(x+1)

Step-by-step explanation:

The formula for point slope is: y-y1=m(x-x1)

When:

m = slope

(x1,y1) = the point on the graph

-9 is the slope, so it replaces m. x1 is -1, and y1 is -3.

Plug in the values:

y-(-3)=-9(x-(-1)) OR y+3=-9(x+1)

6 0
3 years ago
A map is drawn using a scale of 1cm/80 mi
yulyashka [42]

Answer:

280/80 = 28/8 = 7/2 = 3.5 cm

Step-by-step explanation:

the ratio is 1cm/80mi = a cm/280mi

so you get 280cm * mi = 80mi*a cm

so a = 280/80 = 3.5  

8 0
3 years ago
Hey can you please give me the answer to this?
Olegator [25]

The height of the tower is 452.66 ft

<h3>What is angle of elevation and depression?</h3>

The angle formed by the line of sight and the horizontal plane for an object above the horizontal.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line.

Given:

we have two angles one of which is angle of elevation and another angle depression.

Using trigonometric ratio,

tan ∅ = P / B

tan 32° = h / 425

0.624= h /425

h= 265.569 ft

again,

tan 29° = h(bottom of the tower) / 425

h(bottom of the tower) = 425 × tan 29°

h(bottom of the tower)  = 235.581 ft

Thus, Height of tower = h(top of the tower) + h(bottom of the tower)

Height of tower = 265.569  + 235.581

Height of tower = 501.15 ft

Learn more about this concept here:

brainly.com/question/20890484

#SPJ1

5 0
2 years ago
2. Quan plans to spend less than $80 for buying groceries. He plans to spend $68.25 on food and spend the rest on juice. Each ju
belka [17]
Y=3X+68.25

80=3X+68.25
Subtract 68.25 from both sides
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11.75/3=3.91
He can't buy a portion of a juice but he doesn't have enough to buy 4

So he can afford 3 juice cartons
6 0
3 years ago
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