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Aleks04 [339]
3 years ago
6

A mouse is trapped in a maze. To find his way out he walks 10 m, makes a 90° right turn, walks 5 m, makes another 90°, and walks

7 m. What is the magnitude of the resultant vector? Round to the nearest tenth

Mathematics
1 answer:
zimovet [89]3 years ago
4 0

5.8m

use Pythagoras Theorem

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Find the Domain of the following exponential and logarithmic equations and solve them:
kakasveta [241]

The base of a logarithm should always be positive and can't be equal to 1, so the domain is 0 < <em>x</em> < 1 or <em>x</em> > 1.

\log_{\frac1x}243=5

Write both sides as powers of 1/<em>x</em> :

\left(\dfrac1x\right)^{\log_{\frac1x}243}=\left(\dfrac1x\right)^5

Recall that a^{\log_ab}=b, so that

243=\left(\dfrac1x\right)^5

243=\dfrac1{x^5}

x^5=\dfrac1{243}

Take the 5th root of both sides, recalling that 3⁵ = 243, so

x=\sqrt[5]{\dfrac1{243}}=\boxed{\dfrac13}

5 0
3 years ago
Match equivalent trigonometric ratios.
saw5 [17]

Hello from MrBillDoesMath!

Answer:

csc (90° – x) = sec (x )

sin (90° – x) = cos (x )

tan (90° – x) = cot (x)

cos (90° – x) = sin (x )

cot (90° – x) = tan (x )

sec (90° – x) = csc (x)  

Thank you,

MrB    

8 0
2 years ago
Last year, there were 380 students at Woodland Middle School. This year, the student population will increase by 5%. What will b
lutik1710 [3]
5% of 380 is 19. 380 plus 19 is 399 students.
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3 years ago
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Meg saved coins she found for a year. She found a total of 95 pennies, 13 nickels, 41 dimes, and 11 quarters. She would like to
Katen [24]

Answer:

40 coins in each piggy bank

Step-by-step explanation:

Add all the coins together.

95 pennies+ 13 nickels+ 41 dimes+ 11 quarters=160 coins

Divide the number of coins by 4.

160 coins divided by 4 piggy banks= 40 coins in each piggy bank

I hope this helps ;)

5 0
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Plz help me i need help
lina2011 [118]
I believe it's B because we don't know how big the jar is and it's asking for. a statistical question.
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