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3 years ago

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diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 3,200 square meters. W

hat is the perimeter of the track? Use 3.14 for π.

1 answer:

Volgvan3 years ago

4 0

It is 468.4. Hope it helps

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How do you simplify this expression with an answer in positive exponential notation? Please provide the process. Thank you!

Otrada [13]

$\bf ~~~~~~~~~~~~\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ 8^{-2}\cdot \cfrac{3^0-8^{-3}}{4^{-5}}\implies 8^{-2}\cdot \cfrac{1-\frac{1}{8^3}}{\frac{1}{4^5}}\implies 8^{-2}\cdot \cfrac{1-\frac{1}{(2^3)^3}}{\frac{1}{(2^2)^5}}$

$\bf 8^{-2}\cdot \cfrac{\quad \frac{512-1}{2^9}\quad }{\frac{1}{2^{10}}}\implies (2^3)^{-2}\cdot \cfrac{\quad \frac{511}{2^9}\quad }{\frac{1}{2^{10}}}\implies 2^{-6}\cdot \cfrac{511}{2^9}\cdot \cfrac{2^{10}}{1} \\\\\\ 2^{-6}\cdot \cfrac{511\cdot 2^{10}}{2^9}\implies 2^{-6}\cdot 511\cdot 2^{10}\cdot 2^{-9}\implies 2^{-6}\cdot 511\cdot 2^{10-9} \\\\\\ 2^{-6}\cdot 511\cdot 2\implies 511\cdot 2^{-6}\cdot 2\implies 511\cdot 2^{-6+1}\implies 511\cdot 2^{-5} \\\\\\ 511\cdot \cfrac{1}{2^5}\implies \cfrac{511}{32}$

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4 years ago

If a rectangle is not a square, what is the greatest number of lines of symmetry that can be drawn?

eimsori [14]

Answer: B

Step-by-step explanation: what I did was I drew a square and folded it if both sides matched i knew that that was a line of symmetry

5 0

2 years ago

PLSSSSSS HELPPPPPPP FAST WILL GIVE BRAINLIEST

labwork [276]

Answer:

540

Step-by-step explanation:

This is a linear equation y=18x. I got this equation by dividing all of the y values by the x value and finding that 18 was the common answer. Then I plugged in 30 for x and solve for y.

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3 years ago

Solve picture question. Mathematics.

irinina [24]

Cross multiplication!
$\frac{7}{8}$ = $\frac{x}{24}$
7 × 24 = 8x
168 = 8x

Divide both sides by 8 to isolate x

$\frac{168}{8}$ = $\frac{8x}{8}$
8 and 8 cancels out

21 = x

8 0

4 years ago

Read 2 more answers

From the top of a 100-ft building a man

romanna [79]

Answer:

219m

Step-by-step explanation:

Since the man observes the car with angle 15 before observing in 33 degrees.

For the first observation

The angle observation gives an angle if 33 degrees with the horizontal.

It gives a triangle which I'll attach to the que,

from the first triangle

Tan 33 = 100/y

Y= 100/ tan 33

Y = 153.99m.

This is the distance from the building to the distance where it was secondly observed( 33).

To find x

tan 15 = 100/(153.99+x)

153.99 + x = 100/ tan 15

153.99 + x = 373.21

The distance between the two observed angles

X= 219m.

5 0

3 years ago