Answer:
C
Step-by-step explanation:
( it think you meant to put 1350 because theres no way to get 1340)
Answer:
Gustavo used an experiment where the data is quantitative.
Step-by-step explanation:
Gustavo is trying to determine the probabilities of winning each of the four possible prices. Since he is calculating a number, e.g. 30% chance of winning a video game system, he is analyzing quantitative data. Quantitative data basically refers to numerical data or information. On the other hand, qualitative data refers to aspects or characteristics of things, e.g. blue color, soft/hard, etc. It does not deal with numbers.
This can be considered an experiment because it deals with causal relationships between variables (this causes that), while simulations only require some type of correspondence between variables.
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC =
=
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base =
=
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
The GCF of 45 and 75 is 15.
So, divide both numbers by 15.
45/15 = 3
7515 = 5
Therefore, the simplified version of the ratio is 3 to 5
Best of Luck!
2 sin² x - sin x - 1 = 0
u = sin x ( substitution )
2 u² - u - 1=0
2 u² - 2 u + u - 1 = 0
2 u ( u - 1 ) + ( u - 1 ) = 0
( u - 1 ) + ( 2 u + 1 ) = 0
( sin x - 1 ) ( 2 sin x + 1 ) = 0
sin x - 1 = 0 or: 2 sin x + 1 = 0
sin x = 1 sin x = -1/2
x 1 = π/2 + 2 kπ x 2 = 7π/6 + 2 kπ, x 3 = - π/6 + 2 kπ, k ∈ Z
k ∈ Z