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padilas [110]
3 years ago
6

Determine the nature of the roots:

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer:

A.  2 distinct roots.

Step-by-step explanation:

2x^2 + 8x + 3 = 0

Finding the discriminant:

b^2 - 4ac = 8^2 - 4 * 2 * 3

=  64 - 24

= 40

The discriminant is positive but not a perfect square

So there are 2 distinct ,real, irrational roots.

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What is 100.71 out of 2,254.58 in percentage?
Mama L [17]
\dfrac{100.71}{2,254.58 }  \times 100 = 4.47\% \text{ nearest hundredth}

Answer: 4.47%
8 0
3 years ago
An advertising blimp hovers over a stadium at an altitude of 125 m. The pilot sights a tennis court at and 8° angle of depressio
tatuchka [14]

Answer:

Hence the ground distance is about 889m between stadium and Tennis court.

Step-by-step explanation:

Given:

A pilot at height of 125 m(flying the advertising blimp)

angle of depression=8 degrees.

To find :

The ground distance  stadium and tennis court.

Solution :

Using Trigonometric Function we can solve it ,

(Refer the attachment for fig)

Considering above data we get a triangle(ABC)

with point A represent pilot position and C court position and B as stadium.

The height AB=125 m

angle of depression= 8 degrees.

Using

<em>tan∅ =AB/BC</em>

tan(8)=125/BC

BC=125/tan(8)

=125/0.14054

=889.2

=889 m

Hence the ground distance is about 889m between stadium and Tennis court.

6 0
3 years ago
molly ran 2/3 of a mile in 8 minutes . if molly runs at that speed , how long will it take her to run one mile
Tom [10]
It would take her 12 minutes because if you mutipy 2/3 by 3/2 then you get 1 (as in one mile) and then you have to do that to the other side too so then you multiply 8 by 2/3 and get 12
4 0
3 years ago
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at a sale, dresses were sold for $10 each. if the dresses originally cost $200 each, what percentage of its original price was a
Varvara68 [4.7K]

Answer:

5%

Step-by-step explanation:

10/200 = .05

.05 = 5%

7 0
2 years ago
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An mp3 player is on sale for 30% off the regular price of $39.98. How much is the discount? a. $11.99 b. $13.19 c. $13.33 d. $27
bagirrra123 [75]

Answer:

$11.99

https://www.percent-off.com/_30_%25+off_39.98_

(A calutor for you to use I used it to help my mom shop)

6 0
3 years ago
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