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zysi [14]
3 years ago
6

The dance committee has a budget of $125 to decorate the gym for the spring dance. They have already spent $65. Some members wan

t to buy helium balloons that cost 0.80 each. Write an inequality to show the number of ballons that they dance committee can purchase.
Mathematics
1 answer:
marusya05 [52]3 years ago
6 0

Answer:

75

Step-by-step explanation:

subtract 65 from 125 giving your 60 then divide 60 by 0.80= 75

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1. A boat is 18 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 68°
slega [8]

Answer:

19.4 feet

Step-by-step explanation:

When calculating distances using perpendicular angles, we use trig functions such as Sin, Cos, and Tan.

  • Sine is defined in a perpendicular triangle as the ratio of the opposite side to the angle over the hypotenuse.
  • Cosine is defined in a perpendicular triangle as the ratio of the adjacent side to the angle over the hypotenuse.
  • Tangent is defined in a perpendicular triangle as the ratio of the opposite side over the adjacent side.

Because our angle and know side value are across from each other and we need to know the hypotenuse, we chose to use Sine.

We set up the equation sin (68) = \frac{18}{h}.

We isolate h by multiplying h across the equal sign and dividing sin (68) across as well. sin (68) = \frac{18}{h}\\hsin (68) = \frac{18}{h}*h\\hsin (68) = 18\\\frac{hsin (68)}{sin (68)} =\frac{18}{sin (68)} \\

And finally we have h=\frac{18}{sin (68)}. We input to calculator.

h=\frac{18}{0.92718} \\h=19.4 feet

See the attached picture below showing the shore with the boat out at sea and the position of the person.


8 0
3 years ago
Hey or range for each
topjm [15]

Answer : 100 meters 2:35/mile or 1:36/km 2:49/mile or 1:45/km

200 meters 2:35/mile or 1:36/km 2:52/mile or 1:47/km

400 meters 2:54/mile or 1:48/km 3:12/mile or 1:59/km

800 meters 3:23/mile or 2:06/km 3:48/mile or 2:21/km

1,500 meters 3:41/mile or 2:17/km 4:07/mile or 2:34/km

1 mile 3:43/mile or 2:19/km 4:13/mile or 2:37/km

5K 4:04/mile or 2:31/km 4:34/mile or 2:50/km

10K 4:14/mile or 2:38/km 4:45/mile or 2:57/km

Half Marathon

(13.11 miles / 21.098 km) 4:27/mile or 2:46/km 4:58/mile or 3:05/km

Marathon

(26.22 miles / 42.195 km) 4:41/mile or 2:55/km 5:10/mile or 3:13/km

Step-by-step explanation: sorry if this is wromg :/ ( but if it is please add me as the brainist answer )

7 0
4 years ago
Here’s the pic help please answer I’ll give brainliest !! It’s for a test
Fudgin [204]
A= -2

b=0

hope this helps
8 0
3 years ago
What is 12x^2 +14x -6 factored
oksano4ka [1.4K]
<span>What is 12x^2 +14x -6 factored

= (2x + 3)(6x - 2)

hope that helps

</span>
8 0
3 years ago
Read 2 more answers
Please assist me with these problems​
blondinia [14]

Answer:

The function of f(x) is 20 for the middle problem idk the others

Step-by-step explanation:

3 0
3 years ago
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