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3 years ago

Tyler is overdrawn at the bank by $180.His brother has $70 more than him.How much money does lyler brother have?

Mathematics

1 answer:

____ [38]3 years ago

8 0

Answer: - $110

Step-by-step explanation: If Tyler is overdrawn at the bank it means that he has a negative balance. Tylers balance is -$180. If his brother has $70 more than him you need to add the two numbers together.

-$180 + $70 = -$110

Even though Tyler’s brother has more money than Tyler, his brother is still overdrawn by $110. (-$110)

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If f(x)= 3x^2- 4 and g(x) = 2x-6, what is g(f(2))? -16 0-2 O 8 10

nexus9112 [7]

Answer:

Step-by-step explanation:

g(f(x)) = g(3x² - 4) = 2(3x² - 4) - 6

g(f(2) = 2(3*2² - 4) - 6 = 2*8 - 6 = 16 - 6 = 10

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1 year ago

In how many ways can 4 boys and 4 girls be arranged in a row such that no two boys and no two girls are next to each other?(A) 1

nirvana33 [79]

Answer:

1152

Step-by-step explanation:

4 boys and 4 girls be arranged in a row such that no two boys and no two girls are next to each other.

Two boys and two girls are not next to each other. so one boy and one girl are next to each other in two ways.

BGBGBGBG, GBGBGBGB

4 boys are arranged in 4! ways and 4 girls are arranged in 4! ways

So number of ways = $2 \cdot 4! \cdot 4!=2 \cdot 24 \cdot 24=1152$

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2 years ago

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2 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

From the lighthouse 1000 ft above sea level the angle of depression to boat a is 29 degress.a little bit later the boat moved cl

AnnyKZ [126]

Answer: The boat moved 768.51 feet in that time .

Step-by-step explanation:

Since we have given that

Height of the lighthouse = 1000 feet

Angle depression to boat 'a' = 29°

Angle of depression to shore 'b' = 44°

Consider ΔABC,

$\tan 44\textdegree=\frac{AB}{BC}\\\\\tan 44\textdegree=\frac{1000}{BC}\\\\BC=\frac{1000}{\tan 44\textdegree}\\\\BC=1035.53\ feet$

Now, Consider, ΔABD,

$\tan 29\textdegree=\frac{AB}{BD}\\\\\tan 29\textdegree=\frac{1000}{BD}\\\\BD=\frac{1000}{\tan 29\textdegree}\\\\BD=1804.04\ feet$

We need to find the distance that the boat moved in that time i.e. BC

so,

$DC=BD-BC\\\\CD=1804.04-1035.53\\\\CD=768.51\ feet$

Hence, the boat moved 768.51 feet in that time .

6 0

3 years ago