Answer:
∠U = 56.4
Step-by-step explanation:
We can use trigonometric functions to solve this
Here we are given the opposite side of ∠U as well as the adjacent side.
When dealing with the adjacent and opposite side we use sin
Sin = Opposite side / Adjacent side
Opp = 5 and adj = 6
So
Sin(U) = 5/6
* take the inverse sine of both sides *
arc(sin)(u) = u
arcsin(5/6) = 56.4 *( rounded to the nearest tenth )
∠U = 56.4
Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=

so the distance between point and center is radius
D=

D=

D=

D=√37 units
radius is √37 units
The solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:

We have an equation:
x(x + 4) = 6
By distributive property:
x² + 4x = 6
x² + 4x - 6 = 0
a = 1, b = 4, c = -6
Plugging all the values in the formula:

After calculating:


Thus, the solution to the equation x(x+4) = 6 is x = -2 + √10 or x = -2 - √10 after solving with the quadratic formula.
Learn more about quadratic equations here:
brainly.com/question/2263981
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Disagree.
b/8 = 56; multiply both sides by 8 to solve for b, and you get b = 448
Answer:
0.4
Step-by-step explanation:
Given
60 % wear neither ring nor a necklace
20 % wear a ring
30 % wear necklace
This question can be Solved by using Venn diagram
If one person is choosen randomly among the given student the probability that this student is wearing a ring or necklace is


The sum of probabilty is equal to 1 because it completes the set
Therefore the required probabilty is 0.4