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AveGali [126]
4 years ago
5

Lois rode her bike to visit a friend. she traveled at 10 mi/h. Her friend drove her home in a car traveling at 25 mi/h. Lois too

k 1.5 hours longer to go to her friend's than to return home. How many hours did it take Lois to ride to her friend's house?
Mathematics
1 answer:
igor_vitrenko [27]4 years ago
5 0

Speed of Lois' bike = 10 miles/h

Speed of Lois' friend's car = 25 miles/h

Time taken by Lois to reach via car = t hours

Time taken by Lois to reach via bike = 1.5 + t

We know that the distance traveled in both the cases is the same

Hence, distance traveled by car = distance traveled by bike

⇒ Speed of car × time taken by car = Speed of bike × time taken by bike

⇒ 25 × t = 10 × (t+1.5)

⇒ 25t = 10t + 15

⇒ 15t = 15

⇒ t = 1

Hence, Lois took t + 1.5, i.e. 2.5 hours to reach his friend's house.

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Jamal will slice a right circular cylinder into to congruent pieces. Which two-dimensional plane section could result from the s
Debora [2.8K]

Answer:

1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

Step-by-step explanation:

Given: Jamal Sliced aright circular cylinder into congruent pieces.

To find: Shape of Two-Dimensional plane section obtained after slicing.

We get congruent pieces only when we slice the cylinder parallel to its base at equal heights.

By doing this we get small pieces of cylinders of equal height and equal radius.

Base and top remains same that is circular in shape.

Therefore, 1st Option is correct that is we get circle after slicing a right circular cylinder in small pieces.

8 0
3 years ago
What is the surface area?
torisob [31]

Answer:

since the formula of a triangle is ab/2 and since there is four simply multiply 3x4 which is 12 and divide by 2 which is 6 and 6x4= 24 and add that tp 9 since the base is just 3x3 which results for an answer of 33.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Let f(x) = (x − 3)−2. find all values of c in (1, 4) such that f(4) − f(1) = f '(c)(4 − 1). (enter your answers as a comma-separ
Verizon [17]

If the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Given function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1).

In this question we have to apply the mean value theorem, which says that given a secant line between points A and B, there is at least a point C that belongs to the curve and the derivative of that curve exists.

We begin by calculating f(2) and f(5):

f(2)=(2-3)^{-2}

f(2)=1

f(5)=(5-3)^{-2}

f(5)=1

And the slope of the function:

f^{1}(x)=f(5)-f(2)/(5-2)

f^{1}(c)=0

Now,

f^{1} (x)=-2*(x-3)^{-3}

=-2(x-3)^{-3}

=0

-2 is not equal to 0. So there is not any answer.

Hence if the function is (x-3)^{-2} and  f(4) − f(1) = f '(c)(4 − 1) then there is not any answer.

Learn more about derivatives at brainly.com/question/23819325

#SPJ4

7 0
2 years ago
Please use the picture below to find our what x equals
jek_recluse [69]

Answer:

45 degrees

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the following system of equations using the substitution method. x=2y2x+5y=9
rodikova [14]

Answer:

x=2, y=1. (2, 1).

Step-by-step explanation:

x=2y

2x+5y=9

-------------

2(2y)+5y=9

4y+5y=9

9y=9

y=9/9

y=1

x=2(1)=2

4 0
4 years ago
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