Answer:
.................................
Given:
Point F,G,H are midpoints of the sides of the triangle CDE.

To find:
The perimeter of the triangle CDE.
Solution:
According to the triangle mid-segment theorem, the length of the mid-segment of a triangle is always half of the base of the triangle.
FG is mid-segment and DE is base. So, by using triangle mid-segment theorem, we get




GH is mid-segment and CE is base. So, by using triangle mid-segment theorem, we get




Now, the perimeter of the triangle CDE is:



Therefore, the perimeter of the triangle CDE is 56 units.
<h2>
Answer:</h2>
<u>The answer is </u><u>(C) 4</u>
<h2>
Step-by-step explanation:</h2>
According to the rule of BODMAS
We will first do division then Multiplication then addition and in the last we do subtraction
So
12 ÷ 2 + 4 – 2 × 3 will be done as
= (12 ÷ 2) + 4( – 2 × 3)
= 6+4-6
= 4
Answer:
$12.31
Step-by-step explanation:
Think of the original rate of pay as being 100%.
If your rate is increasing by 7%, it will now be 107% of the original rate (since 100% + 7% = 107%)
To find 107% of $11.50, convert 107% into a decimal
⇒ 107% = 107/100 = 1.07
then multiply this by the original rate to get the new increased rate:
⇒ $11.50 × 1.07 = $12.305
Rounding this to the nearest hundred = $12.31
Alternatively, you can find 7% of $11.50 and then add this to $11.50.
⇒ 7% = 7/100 = 0.07
Therefore, 7% of $11.50 = 0.07 × $11.50 = $0.805
Add this to the original rate:
$11.50 + $0.805 = $12.305
Rounding this to the nearest hundred = $12.31
Given
A cylindrical bin with a diameter of 15 feet 3 inches and a height of 24 feet 4 inches is used to hold wheat.
One cubic foot holds 0.804 bushels
Find out bushels of wheat can be stored.
To proof
Formula

where r is the radius and h represent the height.
As given in the question
diameter = 15 feet 3 inches
height = 24 feet 4 inches
First convert inches into feet
I inches = 0.083 feet
15 feet 3 inches = 15 + 3 × 0.083
= 15.25 feet
Diameter = 15.25 feet
24 feet 4 inches = 24 + 4 ×0.083
= 24.33 feet
Height = 24.33 feet

Radius = 7.63 feet

Put all the value in the above formula.
we get
Volume of the cylinder = 3.14× 7.63× 7.63× 24.33
= 4447.55 foot³ ( approx)
As given
One cubic foot holds 0.804 bushels
Total bushels of wheat can be stored = 4447.55×0.804
= 3575.83 ( approx)
Total bhushels of wheat stored are 3575.83 ( approx).
Hence proved