Question:
Miriam is making a bulletin board that is shaped like a square. She has 72 inches of border material. If x represents the length of one side of the bulletin board, which inequality model and solution set best represents the possible side lengths of Miriam's bulletin board?
Answer:
Step-by-step explanation:
Given
Required
Determine an inequality for x
Represent the side lengths of the border with y. So:
Since the border is on the 4 sides, then
-- i.e. the perimeter of the border material
Solve for y
Recall that x represents the board's side length.
Since x will be situated inside the boarder, then.
Substitute
supplementary angles are 180°
<1+<2=180°
given that <1=112°
112°+<2=180°
<2=180°-112°
<2=68°
Answer:
do it yoself
Step-by-step explanation:
xdddddd
Answer: The probability is 0.013
Step-by-step explanation:
Out of 80 people, 28 of them dance with the hands touching the ground.
Then, the probability of selecting at random someone that dances with the hands touching the floor is equal to the number of persons that dance in that way, divided by the total number of persons.
For the first selection, this is p1 = 28/80
now, the probability in the second selection will be 27/79, because we have selected 1 out of the 28 (and also 1 out of the 80)
for the third and the fourth we have:
p3 = 26/78
p4 = 25/77
Then the probability of the fourth events is equal to the product of the four probabilities:
P = (28/80)*(27/79)/(26/78)/(25/77) = 0.013
Answer:
55°
Step-by-step explanation:
The angle 305° is in the fourth quadrant
To find the related acute angle ( the reference angle ) subtract from 360°
reference angle = 360° - 305° = 55°
