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3 years ago

A circular test track for cars has a circumference of 2.7

Mathematics

1 answer:

Softa [21]3 years ago

6 0

The distance traveled is 1.35 km.

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First time doing mensuration, can someone enlighten me on how to find the height of the hemisphere and cone?

Alina [70]

Answer:

Step-by-step explanation:

volume= $1/3\pi r^2h +2/3\pi r^3$ [

tex]=1/3\pi *9*4+2/3\pi *3^3[/tex]

= $12\pi +18\pi$ = 30 $\pi$ volume

4 0

3 years ago

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1.20 x 10⁶<br><br>6.0 x 10⁵

omeli [17]

Answer:

$1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000$

Step-by-step explanation:

You move the decimal place over 6 times for the first equation and 5 for the second equation.

Hope this helps! Have a great day! :)

8 0

3 years ago

Jamar and Peggy live on opposite sides of a park. Peggy counted how many steps it takes her to get from her house to Jamar's hou

creativ13 [48]

Answer:

A.96.25 steps. B. Approximately 37 steps shorter

Step-by-step explanation:

From Pythagoras theory,

Hyp² = Adj² + Opp²

Hyp² = 52² + 81²

Hyp² = 2704 + 6561

Hyp² = 9265

Hyp = √9265

Hyp = 96.25 steps

= 81 + 52 = 133 - 96.25

= 36.75 or approximately 37 steps shorter

7 0

3 years ago

Help with 21 would be much appreciated.

umka2103 [35]

Answer:

$\large\boxed{x=2\sqrt{21}\ and\ y=4\sqrt3}$

Step-by-step explanation:

Look at the picture.

ΔADC and ΔCDB are similar. Therefore the sides are in proportion:

$\dfrac{AD}{CD}=\dfrac{CD}{DB}$

We have

$AD=14-8=6\\CD=y\\DB=8$

Substitute:

$\dfrac{6}{y}=\dfrac{y}{8}$ <em>cross multiply</em>

$y^2=(6)(8)$

$y^2=48\to y=\sqrt{48}\\\\y=\sqrt{16\cdot3}\\\\y=\sqrt{16}\ cdot\sqrt3\\\\\boxed{y=4\sqrt3}$

For x use the Pythagorean theorem:

$x^2=6^2+(4\sqrt3)^2\\\\x^2=36+48\\\\x^2=84\to x=\sqrt{84}\\\\x=\sqrt{4\cdot21}\\\\x=\sqrt4\cdot\sqrt{21}\\\\\boxed{x=2\sqrt{21}}$

3 0

3 years ago

The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function

gogolik [260]

F(x) = 2x - 6
-6 is the y-intercept
2 is the slope

4 0

3 years ago

Read 2 more answers