Answer: Area of circular plate is 36.5 square inches
Step-by-step explanation:
The formula for determining the circumference of a circle is expressed as
Circumference = 2πr
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Circumference of circular plate = 21.4 inches. Therefore
2 × 3.14 × r = 21.4
6.28r = 21.4
r = 21.4/6.28
r = 3.41 inches
The formula for determining the area of a circle is expressed as
Area = πr²
Area of circular plate = 3.14 × 3.41² = 36.5 square inches
Answer:
<h3><u>Question 7</u></h3>
<u>Lateral Surface Area</u>
The bases of a triangular prism are the triangles.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the triangles (bases).
<u>Total Surface Area</u>
Area of the isosceles triangle:
Total surface area:
<u>Volume</u>
<h3><u>Question 8</u></h3>
<u>Lateral Surface Area</u>
The bases of a hexagonal prism are the pentagons.
Therefore, the Lateral Surface Area (L.A.) is the total surface area excluding the areas of the pentagons (bases).
<u>Total Surface Area</u>
Area of a pentagon:
where a is the side length.
Therefore:
Total surface area:
<u>Volume</u>
Answer:
Karen had 45 m and m's candy.
Step-by-step explanation:
Let the number of m and m's candy be 'x'.
Now given:
Karen gave an equal amount of m and m's to herself and four friends.
So we can say that;
Number of people m and m's candy distributed equally = 5
Also Given:
Each person receives m and m's equivalent to the largest one digit number.
Now we know that;
Largest one digit number is 9.
So we can say that;
Each person receives m and m's = 9
We need to find number of m and m's Karen have.
Solution:
So we can say that;
Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.
framing in equation form we get;
Total number of m and m's Karen had =
Hence Karen had 45 m and m's candy.
Answer:
2673
Step-by-step explanation: