Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.
Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.
Cross multiply
Hence proved.
Answer:
The amount of medication to be applied is approximately 7.87 inches
Step-by-step explanation:
The given parameters are;
The length of the incision the patient has = 20 cm
The length of the application of the antibiotic = The length of the incision the patient has
∴ The length of the application of the antibiotic = 20 cm
The amount of medication to be applied = 20 cm = 7.874016 inches ≈ 7.87 inches
Answer:
i) 1350 m
ii) 5400 m
Step-by-step explanation:
<u>Formula for Speed</u>
Rearrange the formula so that Distance is the subject:
<h3><u>Question (i)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 30 seconds
Substitute the given values into the formula for distance:
<h3><u>Question (ii)</u></h3>
Given:
- Speed = 45 m/s (meters per second)
- Time = 2 minutes
As the time is given in a different unit of time as the speed, we must first convert the time into seconds:
1 minute = 60 seconds
⇒ 2 minutes = 60 × 2 = 120 seconds
Therefore:
- Speed = 45 m/s (meters per second)
- Time = 120 seconds
Substitute the values into the formula for distance:
Answer:
37 & 67
Step-by-step explanation:
11 & 33
42 & 56
- 42 - 1, 2, 3, 6, 7, 14, 21, 42
- 56 - 1, 2, 4, 7, 8, 14, 28, 56
- Both 42 and 56 are composite numbers
- 42 & 56 is incorrect
37 & 67
- 37 - 1, 37
- 67 - 1, 67
- Both 37 and 67 are prime numbers
- 37 & 56 is correct
57 & 97
- 57 - 1, 3, 19, 57
- 97 - 1, 97
- 57 is a composite number, 97 is a prime number
- 57 & 97 is incorrect