Answer: 294.4 m²
<u>Step-by-step explanation:</u>
Separate the shaded region into two parts:
- The section containing the central angle of 230° (360° - 130°)
- The triangle with sides 11.1, 11.1 & 20.12 (use Law of Cosines)


Area of shaded region = Area of (1) + Area of (2)
= 247.3 + 47.1
= 294.4
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:



Where
is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
(1)
If we know that
, then the shortest length of the triangle is:
and 
Since length is a positive variable, the only possible solution is:

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Answer:
hope it helps you...................
Answer:
the height of the prism =3cm
Step-by-step explanation:
From the question :there is 30 square centimeters, we can deduce this is the area due to the unit
the volume is 90 cubic centimeters
Volume of prism = Area of base × height
We are to determine the height
90cm³ = 30cm² × height
divide both sides by 30cm²
height = 90cm³/30cm²
height = 3cm
Therefore the height of the prism is 3centimeters
A. Julia does not know how many tickets she is going to by. She knows that each ticket costs $8.