Answer:
104.8 in^2
Step-by-step explanation:
There are 2 ways to solve this problem.
The 1st way:
Let's make 2 triangles and 1 rectangle:
Rectangle Length = 8.3
Rectangle Width = 8
So, the left out length will be 17.9 - 8.3
=> 9.6
Since, 9.6 cm is for 2 parts.
=> 9.6 / 2
=> 4.8
So, Height of the Triangle = 8
Base of the triangle = 4.8
Area of a rectangle
=> 8.3 x 8
=> 66.4
Area of the triangle
=> 1/2 x 8 x 4.8
=> 4 x 4.8
=> 19.2
There are 2 triangles:
=> 19.2 x 2
=> 38.4
=> 66.4 + 38.4
=> 104.8
The area of the trapezoid = 104.8 in^2.
The 2nd way is:
Area of a trapezoid
=> Smaller Base + Larger Base / 2 x Height
=> 8.3 + 17.9 / 2 x 8
=> 26.2 / 2 x 8
=> 13.1 x 8
=> 104.8
The area of the trapezoid is 104.8 in^2
Answer:


Step-by-step explanation:
<u>Sample Space</u>
The sample space of a random experience is a set of all the possible outcomes of that experience. It's usually denoted by the letter
.
We have a number cube with all faces labeled from 1 to 6. That cube is to be rolled once. The visible number shown in the cube is recorded as the outcome. The possible outcomes are listed as the sample space below:

Now we are required to give the outcomes for the event of rolling a number less than 5. Let's call A to such event. The set of possible outcomes for A has all the numbers from 1 to 4 as follows

Answer:
first option 1/2
Step-by-step explanation:
2,3,5 are the prime numbers from that set
each individual number has a 1 in 6 chance of landing on it and we have 3 so...
3 of 6 possibilities would be prime numbers. Simplify to...
1 in 2
Step-by-step explanation:
Let's see
Firstly produce the line to Q such that it passes through and dives Q into two.
The interior angle of the Pentagon at the point Q=sum of its interior angle/5
The angle=540°/5=108°
That would make the exterior angle there=180°-108°=72°
Again,find the interior angle of the heptagon at the point Q=(sum of its interior angles)/7
Angle=900°/7=128.57°≈129°
That would make the exterior angle there=180°-129°=51°
Since Q was divided into the two exterior angles,we sum them up to obtain the angle value of Q
That is 51°+72°=123°