Answer:
the first option
Step-by-step explanation:
equilateral triangles are also equiangular which means each of the three angles is 60°
but you can have an acute triangle with angle measures that are all acute (for example, 59°, 85°, and 36°) that is not equilateral
Answer: 30 pounds of coffee beans worth $10.50 per pound was used.
20 pounds of coffee beans worth $13.00 per pound was used.
Step-by-step explanation:
Let x represent the number of coffee beans worth $10.50 per pound that should be mixed.
Let y represent the number of coffee beans worth $13.00 per pound that should be mixed.
50 pounds of beans worth $11.50 per pound is to be made. The total cost of the mixture would be
50 × 11.5 = 575
This means that
10.5x + 13y = 575 - - - - - - - 1
The total number of pounds of each type of coffee used is 50. This means that
x + y = 50
Substituting x = 50 - y into equation 1, it becomes.
10.5(50 - y) + 13y = 575
525 - 10.5y + 13y = 575
- 10.5y + 13y = 575 - 525
2.5y = 50
y = 50/2.5 = 20
x = 50 - 20= 30
The fractions which cannbe formed are: 2/3, 3/2, 2/5, 5/2, 3/5 and 5/3.
Now, we find the products with the third number:
2/3*5= 10/3 = 3.33 > 2
3/2*5 = 15 >2= 7.5 > 2
2/5*3= 6/5 (rejected)
5/2*3 = 15/2 > 2
3/5*2= 6/5 (rejected)
5/3*2 = 15/2 = 7.5> 2
A) 
B)In 200 times he can hit 59 times !
<u>Step-by-step explanation:</u>
Here we have , A baseball player got a hit 19 times in his last 64 times at bat. We need to find the following :
a. What is the experimental probability that the player gets a hit in an at bat?
According to question ,
Favorable outcomes = 19
Total outcomes = 64
Probability = (Favorable outcomes)/(Total outcomes) i.e.
⇒ 
⇒
b. If the player comes up to bat 200 times in a season, about how many hits is he likely to get?
According to question , In 64 times he hit 19 times . In 1 time there's probability to hit 0.297 times! So ,In 200 times he can hit :
⇒ 
⇒ Hit = 59.36
Therefore , In 200 times he can hit 59 times !
