Answer:
A) x = 20
Step-by-step explanation:
ABCD is a rhombus, AC and BD are diagonals which intersect each other at point E.
Since, diagonals of a rhombus are perpendicular bisector.

We have been given that in ΔJKL, the measure of ∠L=90°, KL = 22 feet, and JK = 54 feet. We are asked to find the measure of angle J to nearest degree.
First of all, we will draw a triangle as shown in the attachment.
We can see from our attachment that side KL is opposite side to angle J and side JK is hypotenuse of right triangle.
We know that sine relates opposite side of right triangle to hypotenuse.


Using inverse sine or arcsin, we will get:


Upon rounding to nearest degree, we will get:

Therefore, the measure of angle J is approximately 24 degrees.
Answer:
256π/3 cm³
Step-by-step explanation:
d = 2r => r = d/2 = 4cm/2 = 2 cm
V(sphere) = 4π·r³/3
= 4π·64/3 cm³
= 256π/3 cm³
Answer:
Option D
Step-by-step explanation:
Given is a table which gives the order pair of x and y for a function f(x)
We have to find the local minimum of the function f(x)
We have from the table the values of different f(x)
Of all we find the least value is -15 and for this x value is -2 or +2
Hence f(x) has minimum at two points
(-2,-15) and (2,-15)
Out of 4 options given we find that (2,-15) appears in IV option
Hence option D is right answer