If your trying to figure out (x) then the answer would be 7 because 7 times 2 is 14 and then 14 minus 3 would be 11
Answer:
Step-by-step explanation:
1). Since, m∠1 + m∠2 = 180° [Supplementary angles]
If m∠2 = 120°
m∠1 + 120° = 180°
m∠1 = 180° - 120°
m∠1 = 60°
2). If a transversal intersects two parallel lines on the top and middle,
∠1 and ∠5 will be corresponding angles.
3). Since, m∠1 = m∠5 = 60° (Corresponding angles)
Therefore, both the lines on top and middle will be parallel.
4). Since, m∠9 + m∠11 = 180° [Supplementary angles]
If m∠11 = 120°
m∠9 + 120° = 180°
m∠9 = 60°
Since, m∠1 = m∠9 = 60° [Corresponding angles]
Therefore, both the lines on the top and bottom shelves will be parallel.
5). Since, m∠5 = m∠9 = 60° [Corresponding angles]
Therefore, middle and bottom shelves will be parallel.
Area of a square is its side length squared...
A=s^2 solving for s...
s=√A
The perimeter of a square is 4 times its side length...
P=4s, and since s=√A
P=4√A, and we are told that A=100 in^2 so
P=4√100
P=4*10
P=40 in
Answer: We can find angle BAC by using (1) SinA = 9.8/12
(2) CosA = 6.9/12
(3) TanA = 9.8/6.9
Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.
Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,
SinA = opposite/hypotenuse
SinA = 9.8/12
SinA = 0.8167
Checking with your calculator or table of values, A = 54.76 (approximately 55)
Also CosA = adjacent/hypotenuse
CosA = 6.9/12
CosA = 0.5750
Checking with your calculator or table of values A = 54.90 (approximately 55).
Finally TanA = opposite/adjacent
TanA = 9.8/6.9
TanA = 1.4203
Checking with your calculator or table of values A = 54.83 (approximately 55).
The total length of the border = 50.2 yards
Step-by-step explanation:
Step 1 :
Given,
Diameter of the circular region = 16 yards
We need to compute the total length of the border.
Step 2 :
The total length of the border can be obtained by computing circumference of the region with the given diameter
Circumference = 2(pi)(r)
where r is the radius
here diameter = 16, so radius = 8 yards
Hence circumference = 2 (3.14) 8 = 50.24 yards
Step 3 :
Answer :
The total length of given border = 50.2 yards (rounded off to nearest 10th)