Answer:
9.12 + 9.12 = 18.24 inches
Step-by-step explanation:
Diameter = 23 inches (given)
Radius = 11.5 inches
2 Chords of length = 14 inches ( You didn't specify if the 14 inches is for both chords or for a single cord. I'll assume it's for two cords 14 and 14inches apart.
To clearly solve this, we'll make some mild assumptions.
Let the perpendicular distance of the chords from the center of the circle to represented as " x and y"
Therefore:
x^2 + 7^2 = 11.5 ^ 2
x^2 + 49 = 132.25
x^2 = 132.25 - 49
x^2 = 83.25
x = √ 83.25
x = 9.12 inches
Since the cords have thesame length (Assumed from the way the question was structured, the distance would still be thesame)
y^2 + 7^2 = 11.5 ^ 2
y^2 + 49 = 132.25
y^2 = 132.25 - 49
y^2 = 83.25
y = √ 83.25
y = 9.12 inches
Therefore, the distance will be :
9.12 + 9.12 = 18.24 inches
Have fun!
To find the distance from each chord to the center of the circle, use the Pythagorean theorem to calculate the height of the isosceles triangle formed by the chord and two radii.
To find the distance from each chord to the center of the circle, we first need to find the radius of the circle. Since the diameter is given as 23 inches, the radius would be half of that, which is 11.5 inches. Now, let's consider one of the chords. When a chord is drawn in a circle, it forms an isosceles triangle with the center and two radii. The distance from the chord to the center of the circle is the height of this isosceles triangle. Using the Pythagorean theorem, we can find the height:
d² = r² - (c/2)²
where d is the distance from the chord to the center, r is the radius, and c is the length of the chord.
Plugging in the values, we get:
d² = (11.5)² - (14/2)²
Simplifying this equation gives:
d² = 132.25 - 49
d² = 83.25
Taking the square root of both sides gives:
d ≈ √83.25 ≈ 9.12 inches
#SPJ12
10m + 5n - 24
10m - 5n + 24
10m + 7n - 14
10m - 7n - 14
Answer:10m + 7n - 14
Steps:
[7m + 3n -(11 - 2m)] + [n + 5 -(-m -3n + 8)]
7m + 3n -11 + 2m + n + 5 + m + 3n - 8
10m + 7n - 14
$25.47
b.
$202.55
c.
$611.20
d.
$4,861.20
the correct answer is c
–5
–3
–1
The value of x in the solution is -1. Option D
2(3x – 1) ≥ 4x – 6
From the given equation, make 'x' the subject by expanding the brackets
6x - 2 ≥ 4x - 6
Collect like terms
6x -4x ≥ -6 + 2
2x ≥ -4
x ≥ -4/ 2
x ≥ -2
If x ≥ -2, then x = -1
Therefore, the value of x in the solution is -1.Option D
Learn more about inequalities here:
#SPJ9
Based on the right-angle triangle shown below, thesine of ∠A include the following: B.) 3/5.
In order to determine the magnitude of angle A, we would apply the basic sine trigonometric ratio because the given side lengths represent the opposite side (CB) and hypotenuse (AB) of a right-angled triangle;
sin(θ) = Opp/Hyp
Where:
Based on sine trigonometric ratio, the magnitude of angle A can be calculated as follows:
sin(θ) = Opp/Hyp
sin(A) = CB/AB
sin(A) = 3/5.
In conclusion, we can reasonably and logically deduce that thesine of angle A (m∠A) is 3/5.
Complete Question:
Find the sine of ∠A.
A.) 3/4
B.) 3/5
C.) 4/5
D.) 4/3
Answer: The coverage included in an automobile insurance policy that covers property damage is Liability insurance
Step-by-step explanation:
The coverage included in an automobile insurance policy that covers property damage is liability insurance.
Liability insurance is a part of general insurance is also known as "Third party insurance", which is compulsory insurance without this insurance no vehicle can be plied on road , is a system of risk financing to prevent the customer from any lawsuits imposed for any accident.