Answer:
i gotchuuu
Step-by-step explanation:
85
Hello!
As we are looking for the opposite side and hypotenuse, we will use the sine.
sin30=1/2
This gives us the equation below.
1/2= 5/x
1/2x=5
x=10
Therefore, x=10.
I hope this helps!
Answer:
<h2>
y = 16/25x³</h2>
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
<em>Hence the formula for y in terms of x is y = 16/25x³</em>
<em></em>
The x-intercept of a line is when the y coordinate is equal to 0. So, the x-intercept would be (0,-7).
The y-intercept of a line is when the x coordinate is equal to 0. So the y-intercept would be (-5,0).
To find the equation of a line, you need the slope and the y-intercept.
We already know the y intercept is -5. The equation for a line is:
Y=mx+b
m stands for slope
b stands for the y intercept.
To find the slope, use the equation-
y1-y2
--------
x1-x2
Another way to say that is the change in y over the change in x.
Plug in the the 2 coordinate points you know, which are (-7,0) and (0,-5).
0+5
-------,
-7-0
5/-7.
The slope is 5/-7
The Y intercept is -5
The equation of the line is y= 5/-7x -5
The coordinate point for the x intercept is (-7,0)
The coordinate point for the y intercept is (0,-5)
Answer: 1.18
Step-by-step explanation:
Z = (x - mean) / standard deviation
Z = (85 - 71.4) / 11.5
Z = 13.6 / 11.5 = 1.18
