Answer:
No
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- A triangle with some side measure .
- The sides are 4 ,6,7.
And we need to tell whether it is a right angled triangle or not . It will be a right angled triangle if it follows the Pythagoras Theorem.
<u>Pythagoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
- In right angle triangle the sum of squares of the two smallest sides is equal to the square of the largest side .
Here the two smallest sides are 4 & 6 .
<u>Sum </u><u>of </u><u>Squares </u><u>of </u><u>4</u><u> </u><u>and </u><u>6</u><u> </u><u>:</u><u>-</u><u> </u>
4² + 6²
24 + 36
60
<u>Square</u><u> </u><u>of </u><u>7</u><u> </u><u>:</u><u>-</u><u> </u>
7²
49
<u>And </u><u>:</u><u>-</u><u> </u>
- They aren't equal. So the triangle is not a right angled triangle .
<u>Hence </u><u>the triangle is not a right angle triangle</u><u>.</u>
It not a right angle or an obtuse angle, so it has to be a acute angle, so angle x would be 50 or 55 degrees.
right angle:90 degrees.
obtuse angle: greater than 90 less than 180.
acute angle: less than 90 degrees.
Answer:
2/45
Step-by-step explanation:
Note this selection is done without replacement hence after each selection sample size will reduce
Given data
Samples 3 chocolate chip bars,
2 peanut butter bars,
1 lemon bar, and
4 raisin bars
Sample size S= [3+2+1+4]= 10
Probability that first selection is lemon = 1/10
Probability that second selection is raisin = 4/9
Hence the probability that the first bar Iesha selects will be lemon and the second will be raisin= 1/10*4/9
= 4/90= 2/45
Answer:
32.38
Step-by-step explanation:
Sum to infinity = a1/(1 - r)
Sum to infinity = 34/(1 - (-0.05))
Sum to infinity = 34/1.05
;Therefore the sum of an infinite geometric series is...32.38