Rt-3f=12 subtract rt from both sides
-3f=12-rt divide both sides by -3
f=(rt-12)/3
9514 1404 393
Answer:
1) W = 10
2) x = 33/2
Step-by-step explanation:
These are 2-step linear equations. Step 1: Add the opposite of the constant on the right. Step 2: Divide by the coefficient of the variable.
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1) 15 = 2W -5
20 = 2W . . . . . add +5
10 = W . . . . . . . divide by 2
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2) 24 = 2x -9
33 = 2x . . . . . add +9
33/2 = x . . . . divide by 2
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As always, whatever you do to one side of the equation must also be done to the other side. That is, the same number is added to both sides; both sides are divided by the same number.
300 - 260 = 40
40 day left to live... :(
Answer:
16. Angle C is approximately 13.0 degrees.
17. The length of segment BC is approximately 45.0.
18. Angle B is approximately 26.0 degrees.
15. The length of segment DF "e" is approximately 12.9.
Step-by-step explanation:
<h3>16</h3>
By the law of sine, the sine of interior angles of a triangle are proportional to the length of the side opposite to that angle.
For triangle ABC:
- ,
- The opposite side of angle A ,
- The angle C is to be found, and
- The length of the side opposite to angle C .
.
.
.
Note that the inverse sine function here is also known as arcsin.
<h3>17</h3>
By the law of cosine,
,
where
- , , and are the lengths of sides of triangle ABC, and
- is the cosine of angle C.
For triangle ABC:
- ,
- ,
- The length of (segment BC) is to be found, and
- The cosine of angle A is .
Therefore, replace C in the equation with A, and the law of cosine will become:
.
.
<h3>18</h3>
For triangle ABC:
- ,
- ,
- , and
- Angle B is to be found.
Start by finding the cosine of angle B. Apply the law of cosine.
.
.
.
<h3>15</h3>
For triangle DEF:
- The length of segment DF is to be found,
- The length of segment EF is 9,
- The sine of angle E is , and
- The sine of angle D is .
Apply the law of sine:
.
Answer: 0.2
Step-by-step explanation: 0.5 times 0.4 is 0.2