express your awnswer in simplest form
Answer:
(x – 10)(x + 10)
Step-by-step explanation:
B. 28.53 units²
C. 33.08 units²
D. 27.28 units²
Answer:
Option B
Step-by-step explanation:
The area of quadrilateral ABCD is equal to the area of triangle ABD plus the area of triangle ADC
we know that
Heron's Formula is a method for calculating the area of a triangle when you know the lengths of all three sides.
Let
a,b,c be the lengths of the sides of a triangle.
The area is given by:
where
p is half the perimeter
step 1
Find the area of triangle ABD
we have
Find the half perimeter p
Find the area
step 2
Find the area of triangle ADC
we have
Find the half perimeter p
Find the area
step 3
Find the total area
Answer:
B.) 28.53 units²
Step-by-step explanation:
I got it correct on founders edtell
Tim has a total of 30 nickels and 40 dimes.
Linear equations are the equations which consist of two or more variables having the exponent of the variable equals 1.
Total number of coins in the Tim's piggy bank = 70 coins
Let d be the number of dime coins and n be the number of nickel coins.
So d + n = 70
Total dollars = $5.50
10 dimes = 1 dollar
1 dime = 1/10 dollar = 0.1 dollar
20 nickels = 1 dollar
1 nickel = 1/20 dollar = 0.05 dollar
0.1 d + 0.05 n = 5.50
So we have two linear equations here : d + n = 70 and 0.1 d + 0.05 n = 5.50.
d + n = 70 ⇒ d = 70 - n
Substituting d = 70 - n in the equation 0.1 d + 0.05 n = 5.50,
0.1 (70 - n) + 0.05 n = 5.50
(0.1 × 70) - 0.1n + 0.05n = 5.50
7 - 0.05n = 5.50
-0.05n = -1.5
n = 30
So d = 70 - n = 70 - 30 = 40
Hence the number of nickel coins is 30 and number of dime coins is 40.
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