Answer:
36.1 pounds
Step-by-step explanation:
Nancy found a large metal bar that contains 38 pounds of gold while mining
She also determined that the bar was 95% gold
The total weight of the metal bar in pounds can be calculated as follows
= 95/100 × 38
= 0.95×38
= 36.1 pounds
Hence the total weight of the metal bar is 36.1 pounds
Answer:
b
Step-by-step explanation:
9514 1404 393
Answer:
D 2.14
Step-by-step explanation:
The lengths of interest are the hypotenuses of the respective triangles. We are given the angle and the opposite side, so the sine relation is of interest.
Sin = Opposite/Hypotenuse
sin(34°) = AC/AB ⇒ AB = AC/sin(34°)
sin(53°) = AC/AD ⇒ AD = AC/sin(53°)
The desired difference in lengths is ...
AB -AD = AC(1/sin(34°) -1/sin(53°)) = 4(1.78829 -1.25214) ≈ 2.1446
The difference in lengths is about 2.14 units.
The probability of first rolling a 1, then a 5, will be .
<h3>
What is probability?</h3>
- Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
- The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.
- The greater the likelihood of an occurrence, the more probable it will occur.
To find the probability of getting a 1 the first time and a 5 the second time:
Probability of getting 1 in 1st time =
Probability of getting 5 in 2nd time =
The probability of first rolling a 1, then a 5, will be = ×
Therefore, the probability of first rolling a 1, then a 5, will be .
Know more about probability here:
brainly.com/question/24756209
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Answer:
9 and 11
Step-by-step explanation:
let the consecutive odd integers be n and n + 2 , then
4n = 5(n + 2) - 19 , that is
4n = 5n + 10 - 19 ( subtract 5n from both sides )
- n = - 9 ( multiply both sides by - 1 )
n = 9 and n + 2 = 9 + 2 = 11
The 2 integers are 9 and 11