Answer:
6.9 foot.
Step-by-step explanation:
Given: Length of lamp post= 12-foot.
The angle of elevation of the sun is 60°.
∴ The length of Lamp post, which is opposite is 12-foot.
Now, finding the length of shadow cast by foot lamp.
Length of shadow is adjacent.
∴ We know the formula for 
= 
Next, putting the value in the formula.
⇒ 
Cross multiplying both side and using the value of Tan 60°
∴ Adjacent= 
≅ 6.9 (nearest tenth value)
6.9 is the length of shadow cast by a 12-foot lamp post.
Answer:
Step-by-step explanation:
z varies inversely
so z=a/x^2
9=a/(2/3)^2
9=a/(4/9)
9=9a/4
a=4
z=4/x^2
z=4/(5/4)^2
z=4/(25/16)
z=64/25
200/3.8= 52.6 mph
This would work because average speed is distance divided by time
The surface area of a cylinder is the sum of the top + bottom + body, right?
The top and the bottom are circles with the same radius 3.5 . And we know that the area of a circle is r^2pi, (don't forget we have 2 circle, so, the answer must be multiplied by 2)
Now, the body: the body is just a rectangular with the width is the height of the cylinder and the length is the circumference of the circle.
The circumference = 2 r pi
the height is given
All you need to do is to calculate them and add them up. You need to work out to get the answer.
Answer:
The value of x = 9
Step-by-step explanation:
∵ The figure has right angle and a line ⊥ from the right angle to the hypotenuse
∴ There is a relation between the ⊥ line and the two parts of the hypotenuse
∴ (⊥)² = multiplication of the two parts of the hypotenuse
∴ (6)²= 4 × x
∴ 36 = 4 × x
∴ x = 36/4 = 9
