Answer: 
Step-by-step explanation:
Given : A man earned x pesos in 10 days and spent y pesos during each of those days.
i.e. Total earning in 10 days = x
Earning per day =
[By unitary method] (1)
Money spent per day =y (2)
We know that

i.e. Subtract (2) from (1), we get

Hence, the expression to determine how many pesos he saved per day will be:-

Answer:
(3,2)
Step-by-step explanation:
Here's your given:
y = 4x - 10
y = 2
Because they both equal y, that means they equal each other:
2 = 4x - 10
Add 10 on both sides:
12 = 4x
Then, divide 4 on both sides:
3 = x
This represents the x coordinate.
Normally you would put this value into one of the equations to figure out y, but they already gave us that in the beginning:
y = 2
This represents the y coordinate.
Put the two values together to get: (3,2)
Answer:
a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6
Step-by-step explanation:
a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.
tan58=84/x
find x by dividing 84 by tan58, and you get 52.5ft.
b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.
multiply 131 by tan17, and you get x=40.1 feet.
c) This question wants you to find the length of the slide, (basically the hypotenuse).
given the angle to be 46, do sin46=9/x
since sin is opp/hyp
9/sin46= 12.5ft
d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.
tan^-1=(16/5)=theta
x=72.6 hope this helps!
Answer:
A
Step-by-step explanation:
Answer:
5.2 in
Step-by-step explanation:
An equilateral triangle is a triangle with 3 equal sides
Divide the equilateral triangle into two congruent triangles and use Pythagoras theorem to find the height
The Pythagoras theorem : a² + b² = c²
where a = height
b = base = 6 in / 2 = 3 in
c = hypotenuse = 6 in
6² = 3² + h²
h = 36 - 9 = 27
√27 = 5.196 inch
to the nearest tenth = 5.2 in
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero