Answer:
40
Step-by-step explanation:
Answer:
<h2>2,268 square units</h2>
Step-by-step explanation:
Step 1
Find the area of 1 Triangle
To find this, we will use this formula:

Let's use the formula!

<em>The area of 1 triangle is 189 square units</em>
<em></em>
Step 2
Find the area of the whole intire shape by multiplying the area of 1 triangle with the amount of sides.
There are 12 sides, so let's multiply 189 by 12
189x12=2268
<h2>
Hence, the area of the regular polygon is 2,268 square units</h2>
Answer:
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Given mean of the Population = 25cm
Given standard deviation of the Population = 2.60
Let 'x' be the random variable in normal distribution
Given x=22

<u><em>Step(ii):</em></u>-
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = P( Z<-1.15)
= 1-P(Z>1.15)
= 1-( 0.5+A(1.15)
= 0.5 - A(1.15)
= 0.5 - 0.3749
= 0.1251
The probability of randomly selecting a rod that is shorter than 22 cm
P(X<22) = 0.1251
Answer:
x°= 55°
Step-by-step explanation:
First, find the degrees of the larger triangle.
Since every triangle equals 180° degrees, make an equation.
60°+90°+a°= 180°
Now, add the degrees together.
120°+a°= 180°
Then subtract from both sides.
120°+a°= 180°
-120 ° -120°
a°= 60°
Now that you know the sum of all the angles, subtract 25° from 60°(which is the measure of a).
60°-25°= 35°
Now that we have the measurement of the angle from the smaller triangle inside the larger one, make an equation.
35°+90°+x°= 180°
Then, add the degrees.
125°+x°= 180°
Subtract from both sides of the equation to get the answer for the variable.
125°+x°= 180°
-125° -125°
x°= 55°