Answer:
x = 2/3
Step-by-step explanation:
sin²30° + cos²30° + x.tan²60° = cot²30°
=> (1/2)² + (√3/2)² + x(√3)² = (√3)²
=> 1/4 + 3/4 + 3x = 3
=> 3x = 2
=> x = 2/3
Answer:
The correct length is <em>34 feet</em>.
Step-by-step explanation:
Let us assume that the wall created is a rectangle <em>ABCD</em> as shown in the attached image.
We know that opposite sides of a rectangle are equal.
<em>Perimeter</em> of a <em>closed figure is calculated by adding all the sides of the figure</em>.
Here, from the figure, the perimeter is : AB + BC + CD + DA
AB and CD are equal to length.
BC and DA are equal to width.
So,

Here, we are given that <em>perimeter </em>is 100 feet and <em>width</em> = 16 feet
Putting values in equation (1):

Hence, length is 34 feet.
Answer:
Step-by-step explanation:
Each 90° clockwise turn takes a point (x,y) and transforms it to (y,-x). For a 180° turn you would do this process twice in a row; for a 270° turn, three times in a row.
Answer:
Your equation for this would be
y=-3x+7
I hope this is what you were looking for ;)
Step-by-step explanation: