Answer:
C) ∠TVU = 54 degree.
Step-by-step explanation:
Given : Figure with angle 120 and 12 degree.
To find : Measures of ∠TVU.
Solution : We have given a circle with two secant VU and VT.
Arc UT make angle 120 degree and arc SR make an angle 12 degree.
Angle formed by two secant = (DIFFERENCE of Intercepted Arcs).
∠TVU = ( 120 - 12 ).
∠TVU = ( 108 ).
∠TVU = 54 degree.
Therefore, C) ∠TVU = 54 degree.
Answer:
The value of the test statistic is
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, is the null hypothesis value,
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
<em><u>Solution:</u></em>
The area of the shaded region is equal to the area of the square minus the area of the circle
<em><u> Find the area of the square</u></em>
Where, "a" is the length of each side
From given figure in question,
a = 10 cm
<em><u>Find the area of circle </u></em>
The area of the circle is given as:
Where, "r" is the radius of circle
Diameter = 10 cm
Thus,
<em><u>Find the area of the shaded region</u></em>
Area of shaded Region = Area of Square - Area of Circle
Area of shaded Region = 100 - 78.5 = 21.5
Thus area of shaded region is 21.5 square centimeter