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vazorg [7]
3 years ago
10

Erik drives 19.2 miles in 16 minutes.

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

Erik's average speed exceeds the speed limit by 6.91 miles per hour.

Step-by-step explanation:

Let suppose that Erik travels at constant speed. Hence, the speed (v), measured in miles per hour, is determined by following equation of motion:

v = \frac{s}{t} (1)

Where:

s - Distance, measured in miles.

t - Time, measured in hours.

Please notice that a hour equals 60 minutes. If we know that s = 19.2\,mi and t = 0.267\,h, then the speed of Erik is:

v = \frac{19.2\,mi}{0.267\,h}

v = 71.910\,\frac{mi}{h}

Which is 6.91 miles per hour above the speed limit.

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The radius of a circle is 42 inches. What is the circle's area?<br> Use 3.14 for ​.
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A =5538.96 in^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

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Solve the right triangle
hoa [83]

Answer:

a

is the right one

Step-by-step explanation:

8 0
3 years ago
I don't know how to do this
Dvinal [7]
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3 0
4 years ago
Which of the following represent the values of x, y, and z.
Paraphin [41]

Answer:

Part 1) z=4\sqrt{3}\ units

Part 2) y=4\sqrt{2}\ units

Part 3) x=4\sqrt{6}\ units

Step-by-step explanation:

see the attached figure with letters to better understand the problem

step 1

<em>Find the value of z</em>

In the right triangle DBC

cos(C)=\frac{4}{z} ----> equation A

In the right triangle ABC

cos(C)=\frac{z}{12} ----> equation B

equate equation A and equation B

\frac{4}{z}=\frac{z}{12}

z^{2}=48

z=4\sqrt{3}\ units

step 2

In the right triangle DBC

Applying the Pythagoras Theorem

z^{2}=y^{2}+4^{2}

we have

z=4\sqrt{3}\ units

substitute

(4\sqrt{3})^{2}=y^{2}+4^{2}

48=y^{2}+16

y^{2}=48-16

y^{2}=32

y=4\sqrt{2}\ units

step 3

Find the value of x

In the right triangle ABC

Applying the Pythagoras Theorem

12^{2}=x^{2}+z^{2}

we have

z=4\sqrt{3}\ units

substitute

12^{2}=x^{2}+(4\sqrt{3})^{2}

144=x^{2}+48

x^{2}=144-48

x^{2}=96

x=4\sqrt{6}\ units

6 0
3 years ago
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