Answer:
k = 15
Step-by-step explanation:
k² = 225
k = √225
k = 15
Thus, K = 15
<u>-TheUnknown</u><u>S</u><u>cientist</u>
First, solve inside the absolute value box
4-16 = -12
Then, find the absolute value of -12
abs(-12) = 12
12 is your final answer.
The dimensions of the rectangle are: length= 18 in and width =1 in.
<h3>Quadrilaterals</h3>
There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
The area of a rectangle can be found for the formula : l*w, where b = length and w =width. The question gives that the area is 18 in².
For this question, the length exceeds its width by 17 inches - l=w+17. Thus, from the value of area given, you can find the values of the length and width of the rectangle.
A=l*w
18=(w+17)*w
18=w²+17w
w²+17w-18=0
Next step will be solve the previous equation ( W²+17W-18=0)
Therefore,
For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.
As, the area (l*w) is 18 in², you have.
18=l*w
18=l*1
l=18 in
Read more about the area of rectangle here:
brainly.com/question/25292087
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Total circles needed = 32 × 4 = 128
papers needed to have 128 circles = 128 / 6 = 21.3 rounded up 22 because paper is whole number.
Answer:
Measure of required angle = 78.75° , measure of complementary angle = 11.25° and measure of supplementary angle = 101.25°
Step-by-step explanation:
let assume measure of required angle = x
since sum of angle and its supplement is 180°
so x + supplement of x = 180
⇒ supplement of x = 180 - x
since sum of angle and its complement is 90
so x + complement of x = 90
⇒ complement of x = 90 - x
Form given information
supplement of x = 9 × ( complement of x)
⇒180 - x = 9 × ( 90 - x )
⇒ 180 - x = 810 - 9x
⇒ -x + 9x = 810 - 180
⇒ 8x = 630
⇒ x = 630/8 = 78.75°
complement of x = 90 - x = 90 - 78.75° = 11.25°
and supplement of x = 180 - 78.75 = 101 .25°
we can recheck our solution by multiplying complement by 9 , that is 11.25 × 9 = 101.25 which is same as supplement. Hence our solution is correct.
So we can conclude that measure of required angle = 78.75° , measure of complementary angle = 11.25° and measure of supplementary angle = 101.25°
