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kicyunya [14]
3 years ago
13

For the right triangle shown, the lengths of two sides are given. find the third side. leave your answer in simplified, radical

form.b = 9, c = 16
Mathematics
2 answers:
german3 years ago
8 0

Answer:

5√7

Step-by-step explanation:

c is the hypotenuse NOT the leg (I just took a quiz and had the exact same question). Therefore:

16^2 - 9^2  = a^2

256 - 81 = a^2

175 = a^2

a^2 = 5√7

lisov135 [29]3 years ago
3 0
If c is the hypotenuse and b is the leg, then the third side (a):
a= \sqrt{c^2-b^2}= \sqrt{16^2-9^2}= \sqrt{256-81}= \sqrt{175}=5 \sqrt{7}

If b and с are legs, then hypotenuse (a):
a= \sqrt{b^2+c^2}= \sqrt{9^2+16^2}= \sqrt{81+256}= \sqrt{337}
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A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $
Allisa [31]

Answer:

$86 is she spending on the party.

Step-by-step explanation:

As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.

⇒ 6 pizzas for $7 each

Total cost for 6 pizzas = 6 \times 7 = \$42

2 bowls of mixed salad for $12 each.

Total cost for 2 bowls = 2 \times 12 = \$24

and

4 cases of assorted soft drinks for $5 each.

Total cost for 4 cases of assorted soft drinks = 4 \times 5 = \$20

She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks

Substitute the values we get;

Total cost she spending on party = \$42 + \$24 + \$20 =\$86

4 0
3 years ago
Determine the measure of the unknown angle in each triangle​
devlian [24]

Answer:

78 degrees

Step-by-step explanation:

If you look at it, 2 of the angels are the same- those angels are A and B- the angel we are looking for. Angel A is 78 degrees and if angel A and angel B are equal then angel B is also 78 degrees.

5 0
3 years ago
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Yuri [45]

Answer:

  a.  3.75 +0.4m = 10.95

Step-by-step explanation:

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The blades of a windmill turn on an axis that is 40 feet from the ground. The blades are 15 feet long and complete 3 rotations e
astraxan [27]

Answer:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

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Step-by-step explanation:

In this problem the amplitude of the sinusoidal function is given by the length of the blades.

a = 15\ ft

The mill is 40 feet above the ground, therefore the function must be displaced 40 units up on the y axis. So:

k = 40\ ft

We know that the blades have an angular velocity w = 3 rotations per minute.

One rotation = 2\pi

1 minute = 60 sec.

So:

w = \frac{3(2\pi)}{60}\ rad/s

w = \frac{\pi}{10}\ rad/s

Finally:

a is the _amplitude_(Length of the blades)_

The vertical shift, k, is the _Mill shaft height_

a = 15\ ft\\\\k = 40\ ft

y = 15sin(\frac{\pi}{10}t) + 40

3 0
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Answer:

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Step-by-step explanation:

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