Answer:
90
Step-by-step explanation:
Order of operations are known as PEMDAS:
P - Parenthesis
E - Exponents
M - Multiplication
D - Division
A - Addition
S - Subtraction
For the most part you have to follow these rules in order to get the correct answer. For this question you first have to multiply 19 by 4 to get 76. Next you add 35 to the number. The sum of 76 and 35 is 111. You final step is to subtract 21. Your final answer is 90. I hope this helps!
Two of the three side lengths are given. To find the area of the triangular piece of land, we'll need to calculate the length of the third side, the side opposite the 100 degree angle. Use the Law of Cosines for this task.
a^2 = b^2 + c^2 - 2ac*cosA
Here, a^2 = 500^2 + 750^2 - 2(500)(750)cos 100 deg, or
a^2 = 250000 + 572500 - 750000(-0.1736), or
= 692264
Then a = +sqrt(692264) = 832 yds
Use Heron's Formula to find the area of the land.
First, calculate s=(a+b+c)/2: (500+750+832)/2 = 1041=s
According to Heron's Formula, A = sqrt( s(s-a)(s-b)(s-c) )
Here, A = sqrt( 1041*(1041-500)*(1041-750)*(1041-832) )
I will leave this calculation to you to complete.
Suppose the area of the land is A square yards. Convert this to acres, using the fact that 1 acre = 4840 yd^2.
In acres, the area is
1 acre
A* ---------------- = (A/4840) acres
4840 yd^2
How much will this cost? Recall that the unit cost of the land is $2300/acre.
Then the total cost will be:
$2300
(A/4840) acres * ------------- = 0.475*A dollars. (Substitute your value for A)
1 acre
Answer:
(2x+-3)+(8x+4)=
2x <u>-3</u> +8x <u>+4</u> =
10x <u>+1</u>
<u />
(2x+-3)+(8x+4) = 10x +1
<u />
if you want write a equation you can write...
(2x+-3)+(8x+4)=10x +1
and the value of x is...
2x-3+8x+4 = 10x+1
2x+8x-10x = 1+3-4
x = 0
23 over 21 is the right answer
23
----
21
Answer:
See below.
Step-by-step explanation:
2(x-3) = 7x + 39
2x - 6 = 7x + 39
Subtract 2x from each side
-6 = 5x + 39
Subtract 39 from each side
-45 = 5x
Divide both sides by 5
-9 = x