Do 3 x 3, which equals 9. Now put the Exponent of 3 next to the 9. Do 9 x 9 x 9, which is 81 x 9, which is 729.
C)66 because the whole angle is 176
Longer leg = x + 4
Shorter leg = x
Hypotenuse = x + 8
Using Pythagorean Theorem:
a^2 + b^2 = c^2
(x + 4)^2 + x^2 = (x + 8)^2
x^2 + 8x + 16 + x^2 = x^2 + 16x + 64
2x^2 + 8x + 16 = x^2 + 16x + 64
2x^2 +8x = x^2 + 16x + 48
2x^2 - 8x = x^2 + 48
x^2 - 8x = 48
x^2 - 8x - 48 = 0
You can complete the square from here or use the quadratic formula.
Completing the square:
x^2 - 8x = 48
x^2 - 8x + (-8/2)^2 = 48 + (-8/2)^2
x^2 - 8x + 16 = 48 + 16
(x - 4)(x - 4) = 64 or (x - 4)^2 = 64
x - 4 = +√64 OR x - 4 = -√64
x - 4 = +8 OR x - 4 = -8
x = 12 OR x = -4
However, you can't use negative 4 as a length because your length needs to be a positive.
So x will be 12.
Shorter leg: 12
Longer leg: 12 + 4
Hypotenuse: 12 + 8
Answer:
a= 63 ⁰; z= 80⁰; x= 30⁰; N= 102⁰;M = 66⁰
Step-by-step explanation:
Example 1 : the angle opposite to angle 2a is 54 degrees because it is the opposite exterior angle of 54 degrees angle so
2a+54⁰= 180⁰
2a= 180⁰-54⁰
2a= 126⁰
a= 126/2= 63⁰
EXAMPLE 2: Opposite exterior angles are equal so
z+25⁰= 105⁰-------A
z= 105⁰-25⁰
z=80⁰
It is making a straight angle so
105⁰+ 3x-15= 180⁰
3x-15=180-105
3x-15=75⁰
3(x-5)=75⁰
x-5⁰=75/3
x-5⁰=25⁰
x= 25⁰+5⁰
x=30⁰
EXAMPLE 3:
114⁰= N+12⁰ (exterior opposite angles are equal)
N= 114⁰-12⁰
N= 102⁰
114⁰+M= 180⁰ (straight angles)
M= 180⁰- 114⁰
M= 66⁰
Answer:
0.02 or 2%
Step-by-step explanation:
Theoretical probability calculated by dividing the number of events you want to calculate(green marble) with the total event possible(red + blue + green). There are 4 red marbles, 5 blue marbles, and 1 green marble. The probability will be: 1/(4+5+1)= 1/10= 10%
The result of the experiment is:
Red=22
Blue= 24
Green=4
Experimental probability calculated by dividing the number of events occurs with the total number of trials. We pull green 4 times and do 50x pulls, so the probability is: 4/50= 8%
Difference between the theoretical probability and the experimental probability is: 10%- 8%= 2%