Answer:
187 feet
Step-by-step explanation:
Tan = opp/adj
tan65 = 400/adj
adj = 400/ tan65
adj = 186.523063261999437
Rounded
187 feet
Answer: 29 feet from across the kitchen to one hole to the other.
Answer:
a = 0.3 and b = - 1.1
Step-by-step explanation:
(x - 2)² = x² -4x + 4
Hence, x² - 4x + 4 = 3x - 6
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
∴ x = 5 or 2
f(5) = 25a + 5b = 2 ----- (i)
f(2) = 4a + 2b = -1 ------ (ii)
(i) X 2: 50a + 10b = 4 ----- (iii)
(ii) X 5: 20a + 10a = -5 ---- (iv)
Subtract (iv) from (iii): 30a = 9
a = 0.3
Substitute a into (ii) to obtain b
4(0.3) + 2b = -1
2b = -1 - 1.2 = -2.2
∴ b = -1.1
Well, notice, we can pretty much see the x-intercepts if we set f(x) = 0, clearly they're just 6 and -2,
now, this is a quadratic equation, since it only has 2 solutions at most, recall your fundamental theorem of algebra.
so, the vertex will be right in middle of those two x-intercepts.
what's between -2 and 6?, well is +2 or just 2, so
x = 2.
so we know the x-coordinate for the vertex is the halfway point of 2, what's the y-coordinate?
f(x) = y = (
2 - 6)(
2 + 2)
y = ( - 4)( 4 )
y = -16thus the vertex is at, well you already know.
Answer and explanation:
The standard error is used to measure the difference between the sample mean and the population mean. It uses standard deviation to measure the level of deviation of the sample mean from the population mean. In other words, the accuracy of the sample mean by way of representing the mean of the population is measured using the standard error. If there is significant difference then standard error is bigger usually non-zero while it is less significant with smaller standard error.