Answer: The first one. 2 to the 20th power over 3 to the 8th power
Step-by-step explanation:
Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
Answer:
It depends on what property you use
Step-by-step explanation:
If you use the distributive property then you would get 5x-30
If you factor you would get 5(x-6)
Answer:
b. 2.28%.
Step-by-step explanation:
Mean temperatue (μ) = 1000°F
Standard Deviation (σ) = 50
°F
For any temperature value, X, the z-score is given by:
For X= 900°F
A z-score of -2.0 corresponds to the 2.28-th percentile of a normal distribution. Therefore, the probability that X<900 is:
Let the unknown number be y.
We can list the equation out by the clues given.
5y + 12 = 52
Then solve this as simple algebra!
Shift +12 to the other side and be - 12
5y = 52-12
5y = 40
Shift x5 to the other side and be ÷5
y = 40 / 5
y = 8
Therfore the unknown number is 8.
