Answer:
As ΔABC is an <u>isosceles triangle</u>:
⇒ BA = BC
(the dashes on the line segments indicate they are of equal measure)
⇒ ∠BAC = ∠BCA = 55°
⇒ ∠BCA = ∠BAD = 55°
Angles on a <u>straight line</u> sum to 180°
⇒ ∠ADE + ∠EDC = 180°
⇒ 98° + ∠EDC = 180°
⇒ ∠EDC = 82°
As BE intersects AC, the <u>vertically opposite angles</u> are <em>equal</em>:
⇒ ∠BDC = ∠ADE = 98°
⇒ ∠ADB = ∠EDC = 82°
Interior angles in a triangle sum to 180°
⇒ ∠BAD + ∠ADB + ∠ABD = 180°
⇒ 55° + 82° + ∠ABD= 180°
⇒ ∠ABD = 180° - 55° - 82°
⇒ ∠ABD = 43°
Hhhhmmmmm...
13.50 for food
2.40 for drink
Since there is a voucher for 1/3 of food,
13.50 multiplied by 1/3 is 4.5 which is the discount
13.50-4.5=9
9 is the final cost for the food.
Add 9 to 2.40 for the drink which results in a total of 11.40
To find the amount charged for service you multiply 11.40 by .15
11.40 × .15 = 1.71
You add 1.71 to 11.40
The total is 13.11
Terri walked in her own 93rd percentile, while April swam in her own 99th percentile. April is off to a slightly better start.
It is Figures A,B, and C. Answer D is not a polygon.
Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
