Answer:
V = 15/4π = 3.75π
Step-by-step explanation:
V=πr^2h
V=π(1/2^2)15
V=π(1/4)15
V=15/4π
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
Answer:
3, 12, 21
Step-by-step explanation:
The change is +9
Answer:
equals -43
Step-by-step explanation:
Answer: B 192
Step-by-step explanation: In the picture attached, the complete question is shown.
The humpback whale traveled 2240 miles in 28 days. This makes the following rate:
rate = distance/time = 2240/28 = 80 miles/day
The distance traveled at this rate in 32 days is:
distance = rate * time = 80*32 = 2560 miles
The gray whales traveled 2368 miles in 32 days. Then, the humpback whales would have traveled 2560 - 2368 = 192 miles more than the gray whales.
