Flying to Kampala with a tailwind a plane averaged 158 km/h. on the return trip the plane only averaged 112km/h while flying bac
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<u>The problem is as following:</u>
The graph shows the relationship between the total cost and the number of gift cards that Raj bought for raffle prizes. What would be the cost for 5 of the gift cards? $80, $90, $100 Or $110
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<u>Solution</u>:
The points of the figure represents a straight line
The general form of the straight line is ⇒ y = mx + c
where m is the slope and c is constant
let x ⇒ The number of gifts cards , y ⇒ Total cost (in $)
we will find m and c using the points (1,20) , (2,40)
The slope = m =
∴ y = 20x + c
Substitute with the point (1,20) ⇒ y = 20 at x = 1
∴ 20 = 20 * 1 + c
∴ 20 = 20 + c
∴ c = 0
∴ The equation of the line ⇒⇒⇒ y = 20x
To find the cost for 5 of the gift cards substitute with x = 5
∴ y = 20 * 5 = 100
So, the cost for 5 of the gift cards = $100
<u>The correct answer is option 3 ⇒⇒⇒ $100</u>
ST = 7.2
RT = 4.04
m∠S = 34°
Solution:
Given ΔRST is a right triangle.
RS = 6, ∠T = 56°
1.206 × 6 = ST
7.236 = ST
ST = 7.2
0.674 × 6 = RT
4.044 = RT
RT = 4.04
To find the measure of angle S.
Sum of the interior angles of the triangle = 180°
m∠R + m∠S + m∠T = 180°
90° + m∠S + 56° = 180°
m∠S + 146° = 180°
m∠S = 180° – 146°
m∠S = 34°