All categories

2 years ago

Which of the following conditions create a triangle?

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

7 0

Answer:

45°, 45°, 90°

Step-by-step explanation:

the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third

You might be interested in

Deidre is picking out some movies to rent, and she is primarily interested in documentaries and children's movies. She has narro

exis [7]

Answer: 6630

Step-by-step explanation:

Given , Number of documentaries = 17

Number of children's movies = 20

Total movies = 17+20=37

Number of combinations of r things taken out of things = $^nC_r=\dfrac{n!}{r!(n-r)!}$

Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary

= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)

$=^{17}C_1\times^{20}C_{2}+^{17}C_2\times^{20}C_{1}+^{17}C_3\times^{20}C_{0}$

$=(17)\times\dfrac{20!}{2!18!}+\dfrac{17!}{2!15!}\times(20)+\dfrac{17!}{3!14!}(1)\\\\=3230+2720+680=6630$

Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .

3 0

3 years ago

How to write 0.0000000000372 in scientific notation?

lutik1710 [3]

3.72 x 10^-11
----------------------------------

6 0

3 years ago

On a certain hot summer's day, 325 people used the public swimming pool. The daily prices are $1.50 for children and $2.50 for

ZanzabumX [31]

Answer:

217 children and 481-217 = 264 adults

Step-by-step explanation:

7 0

3 years ago

Second Time Asking This:

sattari [20]

128 ÷3=42.66

it doesn't say if they have to pay the money back but if they do it's

128-35= 43

43÷3= 14.33

8 0

3 years ago

Convert from feet to yards.<br><br> 6,249 feet = ___ yards

Mashcka [7]

Answer:

2083

Step-by-step explanation:

Every yard is 3 feet so divide 6243 ft by 3 to get your answer

$\frac{6249}{3} = 2083$

Hope I helped! :)

3 0

2 years ago

Read 2 more answers