Answer:
The area of the triangle is 28 square units
Step-by-step explanation:
First we have to calculate the length of the base of the triangle and the length of the height
To calculate the base we have to subtract point (-1 , 2) from point (7 , 2)
(7 , 2) - (-1 , 2) = ((7 - (-1)) , (2 - 2)) = (8 , 0)
because it has no component in y this means that the length of the base is 8
b = 8
To calculate the height we have to subtract point (-1 , 2) from point (-1 , 9)
(-1 , 9) - (-1 , 2) = (((-1) - (-1)) , (9 - 2)) = (0 , 7)
because it has no component in x this means that the length of the base is 7
h = 7
To calculate the area of a triangle we have to multiply the base by the height and then divide it by 2
a = (b * h)/2
a = (8 * 7)/2
a = 56/2
a = 28
The area of the triangle is 28 square units
the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
<u>Step-by-step explanation:</u>
Here we have , Stephanie is taking out a loan in the amount of $15,000. Her choices for the loan are a 4-year loan at 3% simple interest and a 5-year loan at 5% simple interest. We need to find the difference in the amount of interest Stephanie would have to pay for each of these two loans . let's find out:
a 4-year loan at 3% simple interest :
⇒ 
{ As loan is for 4 years we multiply by 4 }
⇒ 
⇒ $
a 5-year loan at 5% simple interest :
⇒ 
{ As loan is for 5 years we multiply by 5 }
⇒ 
⇒ $
So , Difference = $3750 - $1800 = $1950
Therefore , the difference in the amount of interest Stephanie would have to pay for each of these two loans is $1950 . Correct option D) .
Since one of the 5 vowels is paired with the four card suit.so our answer is just 5+5+5+5=20
Answer:
The answer is C, use a calculator and you'll get the answer.
Answer:
see explanation
Step-by-step explanation:
let w represent the width then length = w + 7
The perimeter of the rectangle = 2w + 2(w + 7) = 2w + 2w + 14 = 4w + 14
The perimeter is given as 54 m, thus
4w + 14 = 54 ( subtract 14 from both sides )
4w = 40 ( divide both sides by 4 )
w = 10
Thus
width of playground = w = 10 m
length of playground = w + 7 = 10 + 7 = 17 m
