Answer:
x = 2 csc(1) y - π/4
Step-by-step explanation:
Solve for x:
y = 1/2 sin(1) (x + π/4)
y = 1/2 (x + π/4) sin(1) is equivalent to 1/2 (x + π/4) sin(1) = y:
1/2 sin(1) (x + π/4) = y
Divide both sides by sin(1)/2:
x + π/4 = 2 csc(1) y
Subtract π/4 from both sides:
Answer: x = 2 csc(1) y - π/4
Answer:
1. 169 2. 163 3. 54 4. 221 5. 6 6. 7 7. 11 8. 9
Step-by-step explanation:
Remember the Order of Operations:
Parentheses
Exponents
Multiplication
Division
Addition
Subtract
*But always solve from left to right so there can be times where you either have to do division before multiplication or subtraction before addition
1. 14 + <u>18 ÷ 2 </u>x 18 – 7
14+<u>9 x 18</u>-7
<u>14+162</u>-7
176-7
169
2. <u>15 x 10</u> + 12 ÷ 3 + 9
150+<u>12÷3</u>+9
<u>150+4</u>+9
154+9
163
3. <u>8 x 4</u> + 9 – 9 + 18
<u>36+9</u>-9+18
<u>45-9</u>+18
36+18
54
4. 2 - 1 +<u> 5 x 4 </u>x 11
2-1+<u>20x1</u>1
<u>2-1</u>+220
1+220
221
5. 60 – <u>9 x 8</u> ÷ 8 x 6
60-<u>72÷ 8</u> x 6
60-<u>9x6</u>
60-54
6
6. <u>(10 ÷ 5)</u>3 + 100 – 9 x 11
<u>(2)3</u>+100-9x11
6+100-<u>9x11</u>
<u>6+100</u>-99
106-99
7
7. <u>3 x 8</u> x 2 – 42 + 5
<u>24x2</u>-42+5
<u>48-42</u>+5
6+5
11
8. <u>14 ÷ 2</u> -1 + 3
<u>7-1</u>+3
6+3
9
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
297:5.5
divide 5.5 by both sides which
5.5 divided by 5.5 is 1 and 297 divided by 5.5 is 54
1:54
the unit rate:
54 minutes per word or 54/1
