Answer:
x = 27.57 in to the nearest hundredth.
Step-by-step explanation:
The longer diagonal is opposite the obtuse angle.
Also as it is a rhombus all sides = 14 in.
Use the Cosine Rule:
x^2 = 14^2 + 14^2 - 2*14^2 cos 160
x^2 = 760.36
x = sqrt 760.36
x = 27.57 in.
Answer:
6%
Step-by-step explanation:
Step 1
The fist step is to define the probabilities.
The events are independent from each other. Each team wins with probability
and looses with probability
Let
be probability that Roses win and
be the probability that Roses loose.
Step 2
The second step is to calculate the probabilities by multiplying the probabilities with the first 3 terms in the product being the probability of a win and the last term being the probability of a loss.
The calculation is shown below,

Step 3
The last step is to convert this probability into a percentage. Converting this probability to a percentage is done as shown below,

Step 4
The next step is to round down the percentage . The value of 6.25% rounded down is 6%. The correct answer is 6%.
9514 1404 393
Answer:
smaller triangle area = 73 1/3 ft^2
Step-by-step explanation:
The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...
(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2
So the first two questions are asking for points of intercept. a is asking where the function crosses the x, in this case it is where y=0. So your x intercept is at x= 1,5. Then to find the y intercept it is where x=0, so just substitute 0 for x. Then you get your y intercept as y=5. Because your coefficient for the quadratic function is positive your function has a minimum since it opens upward. I’m not sure what is means by C coordinate, but your vertex is at (3,-4) and lime of symmetry is at x=3.
X intercepts: (1,0) and (5,0)
Y intercept: (0,5)