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liq [111]
3 years ago
12

Write the percentage below as a decimal. 15%

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer: 0.15.

Step-by-step explanation:This is the same as moving the decimal point two places to the left. For example, 15% is equivalent to the decimal 0.15. Notice that dividing by 100 moves the decimal point two places to the left.

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Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b is obtuse. What must be true?
anyanavicka [17]

Answer: D.a^2 + b^2 < c^2

Step-by-step explanation:

In the given figure, we have an obtuse triangle which has sides a, b, and c, and the angle opposite the side of length b is obtuse.

∵ In a triangle, the side opposite to the largest angle is largest.

Thus, the largest side in then given obtuse triangle= c

The Pythagorean inequalities theorem says that If a triangle is obtuse than the square of the largest side is greater than the sum of square of other two sides.

Therefore, we have

a^2 + b^2 < c^2

5 0
3 years ago
Find the value of x ?!??
goldfiish [28.3K]

Answer:

x=4

Step-by-step explanation:

Pentagon's sum of interior angle is 540°

let's add all the given degrees

100+20x+16x+16+140+160-5x=540

Collect like terms

100+16+140+160+20x+16x-5x=540

416+31x=540

31x=540-416

31x=124

x=124/31

x=4```

5 0
3 years ago
Write the first five terms of the sequence in which the nth term is an = (n+3)!/n+3
Katarina [22]

Answer:

the first five terms are

a1 = 6

a2 = 24

a3 = 60

a4 = 120

a5 = 210

Step-by-step explanation:

the experission used to find the five terms is

an = n3+ 3n2+ 2n

7 0
3 years ago
Find the probability. Round your answer to the nearest hundredth, if needed.
padilas [110]

Answer:

0.2

Step-by-step explanation:

Given:

Total number of students = 20

Number of students who have brown hair = 12

Number of students who have blonde hair = 4

Number of students who have red hair = 3

Number of students who have black hair = 1

To find:

Probability of randomly selecting a blonde-haired student from the classroom.

Solution:

Probability refers to chances of occurring of some event.

Probability = Number of favourable outcomes/ Total number of outcomes

Number of favourable outcomes ( Number of students who have blonde hair ) = 4

Total number of outcomes = 20

So,

Probability of randomly selecting a blonde haired student from the classroom = \frac{4}{20}=\frac{1}{5}=0.2

5 0
3 years ago
What is the slope of a line with points -5,7 and 1,1
KATRIN_1 [288]

Answer

6/-11

Step-by-step explanation:

use the slope formula m= \frac{y 2-y 1}{x 2-x 1}

then sub in numbers m=\frac{7-1}{-5-1}

now subtract numerator and the denominator

7-1= 6    and

-5-6=-11  this now looks like  \frac{6}{-11}    

8 0
3 years ago
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