☆ The relation between x and y is <u>y</u><u> </u><u>=</u><u> </u><u>a</u><u> </u><u>cos</u><u> </u><u>x°</u><u> </u><u>+</u><u>b</u><u> </u>
Taking 1st condition from the table .
→ x = 0 and y = 9
→ y = a + cos 0° + b
→ 9 = a + cos 0° + b
☆ We know that cos 0° = 1
→ 9 = a(1) + b
<h3>→ a + b = 9. equation 1st </h3>
Now taking other condition
→ x = 90° and y = 1
→ y = a cos 90° + b
→ 1 = a cos 90° + b
☆ We know that cos 90° is 0
→ 1 = a(0) + b
<h3>→ 1 = b </h3>
<u>Putt</u><u>ing</u><u> the</u><u> </u><u>val</u><u>ue</u><u> of</u><u> </u><u>b</u><u> </u><u>in</u><u> </u><u>equation</u><u> </u><u>1</u><u>s</u><u>t</u><u> </u><u>.</u><u> </u>
→ 9 = a + 1
→ <u>a</u><u> </u><u>=</u><u> </u><u>8</u><u> </u><u>.</u><u> </u>
<u>Now</u><u> </u><u>taki</u><u>ng</u><u> the</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>acc</u><u>ording</u><u> to</u><u> the</u><u> </u><u>ques</u><u>tion</u><u> </u><u>.</u>
☆ x = 45 °
→ y = 8 ( cos 45°) + 1
☆ We know that cos 45° is 1/√2
→ y = 8(1/√2) + 1
→ 8 = 4×√2×√2
<h3>y = 4√2 +1 </h3>
So the answer is <u>4</u><u>√</u><u>2</u><u>+</u><u>1</u><u> </u>
Area=1/2Bh
Area=1/2(16)(9)
Area=(8)(9)
Area=72yd
Answer:
Boat = 20 mph
Current = 5 mph
Step-by-step explanation:
If b is the speed of the boat, and c is the speed of the current, then:
b + c = 225 / 9 = 25
b − c = 225 / 15 = 15
Solve the system of equations with elimination.
2b = 40
b = 20
Plug back into either equation to find the speed of the current.
c = 5
Answer: 25+30h=180
Step-by-step explanation:
The one time fee is 25 and plus the $30 per hour so you have 25 plus $30 h= hour equals 180. I took the a test and got it right btw.
So a triangle has a total of 180 degrees
107 + 2x-5 +x = 180
solve for x
112 + 3x = 180
-112 -112
3x = 68
x = 22.6667 degrees
