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sveticcg [70]
3 years ago
8

Natasha spent 1 1/2 hours on the beach. She fell asleep for 3/4 of the time she was on the beach and then woke up with a terribl

e sunburn. How many hours was Natasha asleep on the beach?
Mathematics
2 answers:
earnstyle [38]3 years ago
8 0

Answer:

1 and 1/8

Step-by-step explanation:

Elina [12.6K]3 years ago
6 0

Answer:

Natasha fell asleep for 1.125 hours.

Step-by-step explanation:

We have been given that

Total time spent by Natasha on the beach = 1 1/2 = 3/2 hours

She fell asleep for 3/4 of time she was on the beach.

Hence, the time she fell asleep is given by

t=\frac{3}{2}\times\frac{3}{4}\\\\t=\frac{9}{8}\\\\t=1.125\text{ hours}

Therefore, Natasha fell asleep for 1.125 hours.

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John can reach 60 centimeters above the top of his head. If John is 2 meters tall, how high can he reach?
sineoko [7]

<em>Greetings!</em>

First, we know that <em>one</em> meter equals 100 centimeters, therefore,<em> two</em> meters equals 200 centimeters.

Here is your expression:

200 cm + 60 cm

Using our math skills, we know that 200 cm (2m) + 60 cm equals 260 cm or 2 meters and 60 centimeters.

Your answer would be 260 cm <em>or</em> 2 meters and 60 centimeters.

8 0
3 years ago
Greg bought 4 notebooks for $6.40.<br><br> What is the price, in dollars, of 1 notebook?
ale4655 [162]
One notebook is $1.60
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3 years ago
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Find the values of cosΘ and tanΘ, given that sinΘ = 8/9 and Θ is in quadrant I
Misha Larkins [42]
sin^2 \alpha +cos^2 \alpha =1\ \ \ and\ \ \ tan \alpha = \frac{\big{sin \alpha }}{\big{cos \alpha }} \\\\sin \alpha  =  \frac{8}{9}\\\\ \Rightarrow\ \ \ (\frac{8}{9})^2+cos^2 \alpha =1\ \ \ \Rightarrow\ \ \ cos^2 \alpha =1- \frac{64}{81} \ \ \ \Rightarrow\ \ \ cos^2 \alpha = \frac{17}{81} \\\\ \alpha \ \in\ (0^0;90^0)\ \ \ \Rightarrow\ \ \ cos \alpha >0\ \ \ \Rightarrow\ \ \ cos \alpha = \frac{ \sqrt{17} }{9} \\\\

tan \alpha = \frac{8}{9}: \frac{ \sqrt{17} }{9} =\frac{8}{9}\cdot  \frac{9}{\sqrt{17}}= \frac{8}{\sqrt{17}}= \frac{8\cdot \sqrt{17}}{\sqrt{17}\cdot \sqrt{17}}=\frac{8\cdot \sqrt{17}}{17}
6 0
3 years ago
What is the length of leg y of the right triangle?
xz_007 [3.2K]

Answer:

13

Step-by-step explanation:

We need to use the Pythagorean Theorem to solve this problem:

a^{2} +b^{2} = c^{2} , where a and b are the legs of the right triangle and c is the hypotenuse

In this case, we already know b (b = 84) and c (c = 85), so we need to solve for a:

a^{2} = c^{2} - b^{2} = 85^{2} - 84^{2} = 169 = 13^{2}

Thus, a = y = 13.

4 0
2 years ago
Read 2 more answers
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
Dimas [21]

Answer:

24.3

Step-by-step explanation:

We need to follow the order of operations PEMDAS:

  • Parentheses
  • Exponents
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Carry out the operation in the parentheses first:

   3³ + 14.7 ÷ 7 - (1.2 × 4)

⇒ 3³ + 14.7 ÷ 7 - 4.8

Now the exponent:

⇒ 3³ + 14.7 ÷ 7 - 4.8

⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8

⇒ 27 + 14.7 ÷ 7 - 4.8

Now, the division (there is no multiplication):

⇒ 27 + 14.7 ÷ 7 - 4.8

⇒ 27 + 2.1 - 4.8

Finally, carry out the addition and subtraction (from left to right)

⇒ 27 + 2.1 - 4.8

⇒ 29.1 - 4.8

⇒ 24.3

8 0
2 years ago
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