Answer:
0.3x= 0.01x+2.9 -->
--> -0.01x -0.01x -->
--> 0.29x= 2.9 -->
--> /0.29 /0.29 -->
--> x=10
Step-by-step explanation:
1: subtract 0.01x from both sides
2: divide your answer (0.29) on both sides
3. you answer is now whatever x is (10)
Answer:
1011.05
Step-by-step explanation:
Let's use 3 as an example.
The angle of depression is the one directly under the ballon.
You also know that the 53 degree angle is part of a 90 degree angle.
so the angle inside the triangle directly under the balloon is 37 degrees.
You know the angle and you know the side from the balloon to the ground is 1680. This is the hypotenuse of the triangle.
So which trig function could you use to determine how high the balloon is from the ground?
SOH CAH TOA
cos 37 = a/1680
a = 1341.71
Answer:
Part A: 5x² + 7x - 4
Part B: 5x³ - x² - 8x + 1
Part C: Yes.
Step-by-step explanation:
Part A: The length of two sides of a triangle are given by
Side 1: 3x² - 2x - 1
Side 2: 9x + 2x² - 3
Now, the total length of the two sides, 1 and 2, of the triangle will be
= (3x² - 2x - 1) + (9x + 2x² - 3)
= 5x² + 7x - 4 (Answer)
Part B: If the length of the third side is y and the perimeter of the triangle is (5x³ + 4x² - x - 3), then
y = (5x³ + 4x² - x - 3) - (5x² + 7x - 4) = 5x³ - x² - 8x + 1 (Answer)
Part C: The answers in the part A and part B are closed under addition and subtraction. (Answer)
Step-by-step explanation:
Given the simultaneous equation
5c+4p=18.40 ..... 2
2c+4p=11.20.......2
According to the equation given 7c+8p=29.60, we will see that the two equation was added to get the required equation in question. Note that this equation 7c+8p=29.60 cannot help us to solve the simultaneous equation because the resulting equation is one equation with two unknown variables. For us to get a solution to the simultaneous equation, we need to reduce the system of equation to just an equation and a variable. This can be gotten by taking the difference of the two equation as shown: (Elimination method)
Equation 1 - equation 2 will give;
(5c-2c)+(4p-4p) = 18.40-11.20
3c+0 = 29.60
3c = 29.60
Divide both sides by 3
3c/3 = 29.60/3
c = 9.87
Substitute c = 9.87 into equation 2
From 2: 2c+4p = 11.20
c + 2p = 5.60
9.87 + 2p = 5.60
2p = 5.60 - 9.87
2p= -4.27
p = -4.27/2
p = -2.135
You can see that what helped in solving the system of equation is by eliminating one of the variables first using the Elimination method.
