Answer:
189 cm³
Step-by-step explanation:
V = lwh
V = 9*7*3
V = 189 cm³
Hope this helped! :)
The IQR is the difference between Q3 and Q1.
First we need to get the data from the stem and leaf plot:
10, 23, 23, 28,] [33, 45, 80, 90
Since there are 8 data items Q1 would be the median of the lower half (4 items), both are 23 so Q1 is 23.
Q3 is the median of the upper half, since the middle numbers are not the same we need to average 45 and 80. (45 + 80)/2 = 62.5 so Q3 = 62.5
IQR = 62.5 - 23 = 39.5
Simplify the expression by multiplying exponents
Simplify the expression by cancelling the terms
Answer:
Step-by-step explanation:
The equation is x^4 – 5x^2 – 36 = 0
We will break the middle term:
Firstly multiply the coefficient of x^4 by constant term of the equation:
1*36 = 36
Now find any two numbers whose product is 36 and their sum or difference is equal to 5
9*4 = 36
9-4 = 5
Now,
x^4 – 5x^2 – 36 = 0
x^4-9x^2+4x^2-36=0
Now take the common:
x^2(x^2-9)+4(x^2-9)=0
(x^2+4)(x^2-9)=0
x²+4=0,
x²= 0-4,
x²=-4,
Take root on both sides:
√x²=+/-√-4
+/-√-4 = +/-√-1 *√4
√-1 = i
Then +/-√-1 *√4 = √4 i
We know that the root of 4 is 2
Then we can write it as +/-2i
Thus x = 2i , -2i
Now (x^2-9)= 0
x²=0+9
x²=9
Take square root on both sides:
√x²=√9
x=+/-3
x= 3, -3
Therefore the values of x are 2i, -2i, 3 , -3 ....
If you can separate the figures and the segment, or angle in question, is the same, the reflexive property of congruence can be used in the proof. ... Separating the two triangles, you can see Angle Z is the same angle for each triangle. Since they are the same angle, the angle is congruent to itself.
