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vagabundo [1.1K]
3 years ago
7

A car travels 20 1/2 miles in 2/3 of an hour. What is the average speed, in miles per hour, of thr car?

Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:

27.33333... mph

Step-by-step explanation:

Find 1/3 of 20 1/2: 1/3*41/2=41/6

That equals 6.83333...

Now add 20 1/2 and 6.83333 = 27.3333...

Therefore, 27.33333... mph

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A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
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Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

h is perpendicular and H is hypotenuse

So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
3 years ago
Find the radius of a circle that has a circumference of 1671.
son4ous [18]

Answer:

r=8

Step-by-step explanation:

Given formula:

r = C / 2π

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hence

r = 16π / 2π = 8

8 0
3 years ago
The image Of A(a+2b,2a-b) when reflected in the line y=x is A'(b-a,4b-2a). Show that 3a=2b<br>​
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3 0
2 years ago
*place holder since picture has the work*
ira [324]

Answer:

A square.

Step-by-step explanation:

I plotted the points on Desmos and then connected them.

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3 0
3 years ago
The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a b
AveGali [126]

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in x hours is given as:

y=30x

The above equation is of the form y=mx, where, m is the rate of change of y with x.

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, m_b=\frac{50}{2}=25\ mi/h

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6 0
3 years ago
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