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Dovator [93]
3 years ago
9

Find the shaded region.

Mathematics
1 answer:
pashok25 [27]3 years ago
8 0

Answer:

Step-by-step explanation:

let the side of outer square=2x

then x²+x²=(20√2)²

2x²=800

x²=400

x=√400=20 in

2x=2×20=40 in

area of outer square=40²=1600 in²

area of inner square=(20√2)²=800 in²

area of shaded  region A=1600-800=800 in²

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Artemon [7]

Answer:

In Martian Poker, the game is played with 8 cards drawn from a 52 card deck.

What is the probability of a Martian drawing “two trips and a pair". They get 2

three of a kinds and a pair.

8 0
3 years ago
6 - 3 ²/⁵ =<br> What is 6 - 3 ²/⁵
Leya [2.2K]

~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 6-3^{\frac{2}{5}}\implies 6-\sqrt[5]{3^2}\implies 6-\sqrt[5]{9}~~\approx ~~4.8

3 0
2 years ago
4) Flying to Tahiti with a tailwind a plane averaged 259 km/h. On the return trip the plane only
Tpy6a [65]

Answer: C) Plane: 235 km/h, Wind: 24 km/h

Step-by-step explanation:

Given that :

Average Speed while flying with a tailwind = 259km/hr

Return trip = 211km/hr

Let the speed of airplane = a, and wind speed = w

Therefore ;

Average Speed while flying with a tailwind = 259km/hr

a + w = 259 - - - (1)

Return trip = 211km/hr

a - w = 211 - - - (2)

From (2)

a = 211 + w

Substitute the value of a into (1)

a + w = 259

211 + w + w = 259

211 + 2w = 259

2w = 259 - 211

2w = 48

w = 48/2

w = 24km = windspeed

Substituting w = 24 into (2)

a - 24 = 211

a = 211 + 24

a = 235km = speed of airplane

6 0
3 years ago
area of parallelogramis 30 cm^2. if the length of two adjacent sides are 6 cm and 10 cm respectively. find its diagonal​
GrogVix [38]

Answer:

the long diagonal d=15.49 ( rounded to the nearest hundredth)

the shortest d=√136-120(cos 30)=5.663 ( rounded to the nearest hundredth)

Step-by-step explanation:

Area=height * base

30=h*6

h=30/6=5 cm

height=asinФ

sinФ=5/10=1/2 (Ф=30)

alternate angle=180

180-30=150 degrees

diagonal²=a^2+b^2-2abcos150

d²=10²+6²-2(10)(6)(-√3/2)

d=√136+60(√3)

the long diagonal d=15.49 ( rounded to the nearest hundredth)

the shortest d=√136-120(cos30)=5.663

8 0
3 years ago
Veronica saved up her tutoring money to buy video games. She buys 2 games for $30.00 each and a game controller for $19.59. Vero
tatuchka [14]

Answer: See explanation

Step-by-step explanation:

Since Veronica buys 2 games for $30.00 each and a game controller for $19.59. The total cost to be paid will be:

= (2 × $30.00) + $19.59

= $60.00 + $19.59

= $79.59

Since Veronica lives in San Jose, California, where sales tax is 9.25%, the sales tax will be:

= 9.25% × $79.59

= 0.0925 × $79.59

= $7.36

Total amount paid = $79.59 + $7.36 = $86.95

3 0
3 years ago
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