Answer:
A
Step-by-step explanation:
(86°F − 32) × 5/9 = 30°C
Answer:
2. k = -24
3. y = 50
4. m = -13
5. b = 8/7
6. x = -1/2
7. a = -4
8. k = 7.8
Step-by-step explanation:
2. -20 ÷ 5/6
3. 18 ÷ 0.36
4. -1/2 * 26
5. 6/7 + 2/7
6. 1/8 - 5/8
7. -2.3 - 1.7
8. 3.4 + 4.7
Those should be good. Good luck
A is the answer. Ask if you need me to explain.
Answer:
a) Height = OC = 13.3cm
b) Perimeter = 48.4cm
Step-by-step explanation:
a) Given:
ODC is a right angle triangle and
ABCD is part of it.
AB = 6 cm
CD = 15 cm
BC = 8 cm
∠BCD = 90 degrees
AB is parallel to DC
Find attached the diagram obtained from the given information.
From the diagram, ∆OAB is similar to ∆ODC.
∠OBA = ∠OCD = 90 degrees
To find the height, we would apply the similar triangles theorem.
The ratio of corresponding sides are equal and the angles are congruent.
OB/BA = OC/CD
OC = OB+BC = OB+8
OB/6 = (OB+8)/15
15OB = 6(OB+8)
15OB = 6OB + 48
9OB = 48
OB = 48/9 = 16/3
OC = 16/3 + 8
OC = 13⅓ cm = 13.3cm
Height = OC = 13.3cm
b) To get perimeter, we have to first determine OD (the hypotenuse of ∆OCD) as it is a right angled triangle
Using Pythagoras theorem
Hypotenuse ² = opposite ² + adjacent ²
OD² = OC² + CD²
OD² = (13⅓)² + 15²
OD² = 1600/9 + 225 = 3625/9
OD = √(3625/9)
OD = 20.1
Perimeter of ∆ODC= OC + CD + OD
= 13.3 + 15 + 20.1
Perimeter = 48.4cm