Answer:
Step-by-step explanation:
You can start by recognizing 19/12π = π +7/12π, so the desired sine is ...
sin(19/12π) = -sin(7/12π) = -(sin(3/12π +4/12π)) = -sin(π/4 +π/3)
-sin(π/4 +π/3) = -sin(π/4)cos(π/3) -cos(π/4)sin(π/3)
Of course, you know that ...
sin(π/4) = cos(π/4) = (√2)/2
cos(π/3) = 1/2
sin(π/3) = (√3)/2
So, the desired value is ...
sin(19π/12) = -(√2)/2×1/2 -(√2)/2×(√3/2) = -(√2)/4×(1 +√3)
Comparing this form to the desired answer form, we see ...
A = 2
B = 3
Answer:
I figure you could simplify it by multiplying both sides by 6, resulting in -31+23=-30+18-1+5
-8=-8
Step-by-step explanation:
1.54 + 2.37
= (1 + 5/10 + 4/100) + (2 + 3/10 + 7/100)
= 1 + 5/10 + 4/100 + 2 + 3/10 + 7/100
= 3 + 8/10 + 11/100
= 3 + 8/10 + (10/100 + 1/100)
= 3 + 8/10 + (1/10 + 1/100)
= 3 + 8/10 + 1/10 + 1/100
= 3 + 9/10 + 1/100
= 3.91
Answer:
The volcanoes are formed adjacent to a convergent plate boundary, in which the denser plate subducts under a less denser plate. These subducting plates undergoes partial melting at greater depths and the magma is forced to rise up towards the over-riding plate, resulting in the formation of the volcano and chains of volcanoes.
These volcanoes when undergoes eruptions, releases various types of gases. They are such as the Carbon dioxide (CO₂), Water vapor (H₂O), Sulfur dioxide (SO₂), Hydrogen sulfide (H₂S) and Carbon monoxide (CO).
These gases are harmful to the atmosphere as it creases the green house effect thereby increasing the earth's global temperature.
Answer:
137,114
Step-by-step explanation:
First, add 45,678 and 32,257 together, then add 59,179 to it, and you get 137,114.