Answer:
A quadrilateral's interior angles have a sum of 360°.
Given that we have 85°, 100°, and 90°(the right angle), and an unknown angle.
We can add these angles plus the unknown angle to equal a total of 360°.
85 + 100 + 90 + x(our unknown missing angle) = 360
simplify
275 + x = 360
Isolate x by subtract 275 from both sides;
-275 -275
x = 85, ∠1 = 85°
We can also double check:-
85 + 100 + 90 + <u>85</u> = 360
360 = 360 which is correct.
Answer:
60 degrees
Step-by-step explanation:
A)60
B)30
C)90
Answer:
1024/59049
Step-by-step explanation:
P( clear hurdle) = 2/3
There are 10 hurdles
P ( clear all hurdles) = P( clear hurdle) * P( clear hurdle)...... 10 times
= 2/3 * 2/3 *....... 10 times
= (2/3) ^ 10
=1024/59049
Answer:0.82
Step-by-step explanation:
The first step is to determine the areas of the inner and the bigger circles.
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
Considering the inner circle,
diameter = 148.4 cm
Radius = 3 inches
Area = 3.14 × 3² = 28.26 inches²
Considering the bigger circle,
Radius = 7 inches
Area = 3.14 × 7² = 153.86 inches²
The area between the bigger and inner circles is
153.86 - 28.26 = 125.6 inches²
Probability = number of favourable outcome/number of total outcome.
the probability you land inside the bigger circle but outside smaller circle is
125.6/153.86 = 0.82
