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mrs_skeptik [129]
4 years ago
10

Can someone please answer this Einstein riddle!!! Rachel drives 113 miles from Pittsburg to Cleveland averaging 30 miles per hou

r. How fast must she drive on the return trip to average 60 miles per hour overall?
Mathematics
1 answer:
Alexxx [7]4 years ago
3 0

Answer:

90 mph

Step-by-step explanation:

Average speed is given by

Average speed=(initial+final speed)/2

Given average speed of 60 mph then considering initial speed of 30 mph. Let x be the final speed hence

60=(30+x)/2

120=30+x

X=120-30=90 mph

Therefore, the return trip speed is 90 mph

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goldfiish [28.3K]

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

Area = 30 + 9

Area = 39 square meters

More about the geometry link is given below.

brainly.com/question/7558603

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2 years ago
PLEASE HELP ME!! use the figures below. write a sequence of rigid motions that maps triangle RST to triangle DEF
Umnica [9.8K]
I think it’s the third one I’m srry if u get it wrong sksk
6 0
4 years ago
Read 2 more answers
What reason should kamal add to all of the question marks in order to completer the proof
brilliants [131]

Answer: The answers is alternate interior angles.


Step-by-step explanation:  First of all, the questions marks given in the figure are renamed in the attached figure as (a), (b), (c) and (d).

For (a): Since AC is parallel to A'C' and A'D is a transversal for these two parallel lines, so, ∠CDB' = ∠B'A'C', because these are alternate interior angles.

For (b): Since BC is parallel to B'C' and A'B' is a transversal, so ∠BEB' = ∠A'B'C', because these are alternate interior angles.

For (c): Since AB is parallel to A'B' and AD is a transversal, so ∠BAC = ∠CDB', because these are alternate interior angles.

For (d): Since AB is parallel to A'B' and BE is a transversal, so ∠ABC = ∠BEB', because these are alternate interior angles.

Thus, all the questions marks are the reasons that the given angles are equal because they are alternate interior angles.

5 0
3 years ago
A tank contains 100 gal of brine made by dissolving 80 Ib of salt in water. Pure water runs into the tank at the rate of 4 gal/m
ohaa [14]

Answer:

Step-by-step explanation:

Amount of brine = 100 gal

amount of salt = 80 lb

rate of water running = 4 gal / min

Let A be the amount of salt in lb in the tank at any time t.

(a) dA/dt = rate of salt in - rate of salt out

Rate of salt in = 0

rate of salt out = A x 4 / 100 = A / 25 lb/min

So, dA/dt = 0 - A/25 = - A/25 lb/min

\frac{dA}{A}=-\frac{1}{25}dt

\int \frac{dA}{A}=-\frac{1}{25}\int dt

A(t) = C e^{-0.04t}

When t = 0, A = 80 lb

So,

A(t) = 80 e^{-0.04t}

(b) Now, A = 40 lb

So,

40 = 80 e^{-0.04t}

0.5 = e^{-0.04t}

take log on both the sides

ln 0.5 = - 0.04 t

t = 17.3 minutes

8 0
3 years ago
How many class periods that are 3/4 of an hour-long will fit into 6 3/4 an hour school day? Assume that the class period include
Marrrta [24]

Answer:

about 8 classes

Step-by-step explanation:

convert 6 3/4 to a fraction: 27/4

3/4 can go into 27/4 9 times, but with time in between, you should only be able to have 8 classes instead of 9

8 0
3 years ago
Read 2 more answers
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