Answer:
34.78 feet
Step-by-step explanation:
1) using the cosine function, I did cos(43)=x/51
This is because cosine is equal to adjacent over hypotnuse
Once I found x, I used the pythagorean theorem to get 34.78 feet
Answer:
y = 51.32º
Step-by-step explanation:
z = 180 - 47 - 90
z = 43º
sin43 = opp/hyp
sin43 = 35/y
y = 35/sin43
y = 51.32º
Our system of equations is:
y = x - 4
y = -x + 6
We can solve this system of equations by substitution. We already have one equation solved for the variable y in terms of x, so we can substitute in this equivalent value for y into the second equation as follows:
y = -x + 6
x - 4 = -x + 6
To simplify this equation, we first are going to add x to both sides of the equation.
2x - 4 = 6
Next, we are going to add 4 to both sides of the equation to separate the variable and constant terms.
2x = 10
Finally, we must divide both sides by 2, to get the variable x completely alone.
x = 5
To solve for the variable y, we can plug in our solved value for x into one of the original equations and simplify.
y = x - 4
y = 5 - 4
y = 1
Therefore, your final answer is x = 5 and y = 1, or as an ordered pair (5,1).
Hope this helps!
Addition could be the words 'increased by' or 'more'
examples: a number increased by 4 is equal to three times another
bob has 4 more apples than joe or
subtraction could be 'less than' or 'decreased by'
examples: 3 less than a number...
a number decreased by 4 is...
multiplication could be like 'product of' or 'per'
examples: the product of 2 numbers, x and y...
there are 3 apples per box
divison could be like 'divided by' or 'split'
examples: 3 divided by 4
120 apples split into 3 parts
Sometimes
LCM of 3 and 4 is 12....(3 x 4)
LCM of 10 and 6 is 30.....not (10 x 6) = 60
