Answer:
(x, y, z) = (-1, -4, -5)
Step-by-step explanation:
(x, y, z) = (Dx, Dy, Dz)/D = (-6, -24, -30)/6
(x, y, z) = (-1, -4, -5)
the height of the tree is 23 feet .
<u>Step-by-step explanation:</u>
Here we have , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long. At the same time, the shadow of a nearby tree was 32 feet long. We need to find Find the height of the tree. Let's find out:
According to question , Tony is 5.75 feet tall. Late one afternoon, his shadow was 8 feet long . Let the angle made between Tony height and his shadow be x . Now , At the same time, the shadow of a nearby tree was 32 feet long. Since the tree is nearby so tree will subtend equal angle of x. Let height of tree be y , So
⇒ 
But , From tony scenario
⇒ 
Equating both we get :
⇒ 
⇒ 
⇒ 
Therefore , the height of the tree is 23 feet .
The length of a circumference: l=πD
l₁=π×5=5π
l₂=π×15=15π
Then l₂÷l₁=15π÷5π=3 and the answer is B)
Step-by-step explanation:
Given that,
- Height of cylinder = 4 cm
- Volume of cylinder = 616 cm³
To find,
Firstly we'll find the base radius of the cylinder.

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Now,



The required answer is 14 cm.