Answer:
Step-by-step explanation:
I am assuming that by "interior" angle you do not mean the central angle.
This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.
Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:
180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.
Answer:
Speed = 10.42 m/secs
Step-by-step explanation:
We have been given with:-
Distance = 100m
Time taken = 9
secs
1) First, we need to convert the mixed number 9 to an improper fraction.
<u>Method to convert a mixed number to an improper fraction</u>
<u>
</u>
Applying the above formula, we get
9 = 
= 
= 
2) Now we need to convert into a decimal by dividing 48 by 5.
We get time taken as 9.6 secs
3) We need to find the speed using the below formula:-
Speed = 
Plugging the values of Distance and Time taken into the formula, we get
Speed = 
= 10.416 m/secs
4) Upon rounding it to the nearest hundredth, we get
Speed = 10.42 m/secs
Answer:
Lowest score needed=4.92
Step-by-step explanation:
Using the standard normal distribution table we find the value of standard normal deviate corresponding to area of 15%
For area of 15% we have Z= -1.04
Thus we have
Applying values we get
Thus lowest score needed = 4.92
Number of dimes: x
Number of quarters: x + 3
Answer:
B ) 0.10 x + 0.25 ( x + 3 ) = $1.80
Also we can solve this equation:
0.10 x + 0.25 x + 0.75 = 1.80
0.35 x = 1.80 - 0.75
0.35 x = 1.05
x = 1.05 : 0.35
x = 3, x + 3 = 6
He has 6 quarters and 3 dimes.
( 6 * 0.25 + 3 * 0.10 = 1.50 + 0.30 = $1.80 - correct)
Answer:
The levels have fallen in the city of the south season of 2021where Jesse Lingard has been released in the city of California and has been released by the University of New Zealand
