Answer:
A)
Step-by-step explanation:
To find the answer we must solve each of the systems separately. Starting with the first one:
x + y = 2
2x - y = 10
We must find what x or y is equal to and then replace it in the second equation. I'll go with y as it seems easier:
x + y = 2
y = 2 - x
Now that we found y we replace it in the second equation this way. Be careful with the signs, the minus with change our signs:
2x - (2 - x) = 10
2x - 2 + x = 10
3x = 12
x = 12/3
x = 4
Now that we have x, we replace the variable with its value in one of the equations. Again, for simplicity I'll go with the one that seems easier.
4 + y = 2
y = 2 - 4
y = - 2
Question:
Convert the angle θ=260° to radians.
Express your answer exactly.
θ = ___ radians
Answer:
260° = 13π/9 or 4.54 rad
Step-by-step explanation:
Given
θ=260°
Required
Convert from degree to radians
To convert an angle in degrees to radians, we simply follow the steps below.
1° = 1 * π/180 rad
Replace the 1° with x
So,
x° = x * π/180 rad.
Now, we assume that x = 260
This means that we substitute 260 for x. This gives
260° = 260 * π/180
260° = 260π/180
Divide numerator and denominator by 20
260° = 13π/9
We can leave the answer in this form or solve further.
Take π as 22/7. This gives
260° = 13/9 * 22/7
260° = 286/63
260° = 4.5396825397
260° = 4.54 rad (Approximated)
Answer:
28.5 cm²
Step-by-step explanation:
There are 7 whole diamonds and 5 half-diamonds. Each diamond is worth three.
7x3=21
5/2x3=7.5
21+7.5=28.5
Step-by-step explanation:
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