Answer:

Step-by-step explanation:
In any triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle (o/h).
Therefore, we have:

Answer:
The area of sector GPH is 45-7r cm^
<h3>
<u>Required</u><u> </u><u>solution</u><u> </u><u>:</u></h3>
- Diameter (d) = 7
- Height = 8
Therefore,
- Radius (r) = d / 2
- Radius (r) = 7/2
We know that :
Substituting the values :
>> V = π × (7 / 2)^2 × 8
>> V = π × (49 / 4) × 8
>> V = π × 49 × 2
>> V = 98π
Henceforth,
Answer:
See below
Step-by-step explanation:
<u>1. Solve for y</u>
- x = 0
- z = 5x + 3 ⇒ z = 5*0 + 3 = 3
- 4y + 6z = 26 ⇒ 4y + 6*3 = 26 ⇒ 4y = 26 - 18 ⇒ 4y = 8 ⇒ y = 2
- y = 2
- Option B
<u>2. Solve for x</u>
- -7x - y = 6 ⇒ y = -7x - 6
- x - 3y = 18 ⇒ x - 3(-7x - 6) = 18 ⇒ x + 21x + 18 = 18 ⇒ 22x = 0⇒ x = 0
- x = 0
- Option C
<u>3. Solve for x</u>
- y = -4
- z = 3x - 12
- 3x + 3y = -6 ⇒ 3x + 3(-4) = -6 ⇒ 3x = 12 - 6 ⇒ 3x = 6⇒ x = 2
- x = 2
- Option B
<u>4.....................</u>
- 0 = 1
- The equation is false so it means no solution
<u>5...................... </u>
- 0 = 0
- The equation is true so it means infinitely many solutions