All that are true:
sin(C) = square root 3/2
tan(C) = square root 3
sin (B) = 1/2
9514 1404 393
Answer:
72
Step-by-step explanation:
The triangles are said to be similar. (ΔNPQ ~ ΔRSQ) That means corresponding sides have the same ratio:
NP/RS = NQ/RQ = PQ/SQ = 24/32 = 21/28 = 3/4
This ratio, or scale factor, also applies to the perimeters of the two triangles.
perimeter NPQ / perimeter RSQ = 3/4
Using the given expressions for the perimeters, we have ...
(7x +2)/(10x -4) = 3/4
We can solve this equation in the usual way to find the value of x. Then we can use that value to find the perimeter of ΔNPQ.
4(7x +2) = 3(10x -4) . . . . . multiply both sides by 4(10x -4)
28x +8 = 30x -12 . . . . . eliminate parentheses
20 = 2x . . . . . . . . . . . add 12-28x to both sides
10 = x . . . . . . . . . . . divide both sides by 10
The perimeter of ΔNPQ is ...
7x +2 = 7(10) +2 = 72
The perimeter of triangle NPQ is 72 units.
Using conversions between odds and probabilities, we have that:
1. A) 4:21
2. 0.952 probability that a bag of flour passes inspection.
3. C) 1:39
4. 41:59.
5. 14:11
- A probability is the <u>number of desired outcomes divided by the number of total outcomes</u>.
- An odd is given by a:b, in which <u>a is the number of successes and b is the number of failures</u>.
Item 1:
- Probability of 0.16, thus, for 100 trials, <u>16 successes and 84 failures</u>, and the odd is:
16:84, which, simplifying by 4, is 4:21.
Item 2:
- Odd of 20:1 means that 20 + 1 = <u>21 trials, there are 20 successes</u>, thus, the probability is:

0.952 probability that a bag of flour passes inspection.
Item 3:
- Probability of 0.025, thus, for 100 trials, <u>2.5 successes and 97.5 failures</u>, and the odd is:
2.5:97.5, which, simplifying by 2.5, is 1:39.
Item 4:
- 59% probability that he will take the longest trail, thus 100 - 59 = 41% probability of him <u>not tanking the longest trail</u>, thus, the odds against him taking the longest trail is 41:59.
Item 5:
- Probability of 0.56, thus, for 100 trials, <u>56 successes and 44 failures</u>, and the odd is:
56:44, which, simplifying by 4, is 14:11.
A similar problem is given at brainly.com/question/21094006
Answer:
I believe it's 1.864114 miles.
Answer:
Step-by-step explanation:
He will earn 368 if he sold 6 bars