Answer:
x = 6
y = 45 degrees
Step-by-step explanation:
Here, we want to get the measure of x and y
For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees
This mean y is 45
To get x, we know we have an isosceles triangle
So the length of the third ungiven leg is x too
Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides
(6 √2)^2 = x^2 + x^2
72 = 2x^2
x^2 = 72/2
x^2 = 36
x = √36
x = 6
64 cartons × 40 peaches = 2560 peaches
2560 peaches : 8 bags = <u>320 bags</u>
Answer:
x=-1,-3,2i and -2i
Step-by-step explanation:
By plugging in x=-1, f(x)=0 and x=-3,f(x)=0
That means x+1 and x+3 are roots of the fourth degree polynomial.
(x+1)(x+3)=x²+4x+3
Divide the polynomial by x²+4x+3 and that gives x²+4.
We now find the zeros of the factors
(x²+4x+3)(x²+4)=0
x=-1,-3,2i and -2i
Answer:
d. Approximate the standard normal distribution with the Student's t distribution
(0.2199 ; 0.2327)
Step-by-step explanation:
Given that :
Sample size, n = 31
Sample mean, xbar = 0.2258
Sample standard deviation, s = 0.0188
Confidence interval (C. I) :
xbar ± margin of error
Margin of Error : Tcritical * s/sqrt(n)
Degree of freedom, df = n - 1 = 31 - 1 = 30
Tcritical value :
T0.05/2, 30 = 2.042
Margin of Error = 2.042 * 0.0188/sqrt(31)
Margin of Error = 0.0068949
C. I = 0.2258 ± 0.0068949
Lower boundary : (0.2258 - 0.006895) = 0.2189
Upper boundary : (0.2258 - 0.006895) = 0.2327
(0.2199 ; 0.2327)
If the side lengths of the base (12) are equal, then they are both 6. so the answer rounded to the nearest tenth is 148.7
