Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2
Answer:
y= 3x -4
Step-by-step explanation:
The equation of a line can be written in the form of y=mx +c, where m is the slope and c is the y-intercept. This is also known as the slope-intercept form.
Since the given equation is in the slope-intercept form, we can identify its slope from the coefficient of x.
Slope= -⅓
The product of the slopes of perpendicular lines is -1.
Slope of perpendicular line
= 3
Thus, the equation of the perpendicular line is given by:
y= 3x +c
Substitute a pair of coordinates that the line passes through to find the value of c.
When x= 3, y= 5,
5= 3(3) +c
5= 9 +c
<em>Minus 9 on both sides:</em>
c= 5 -9
c= -4
Hence, the equation of the perpendicular line is y= 3x -4.
Additional:
For more questions on equation of perpendicular lines, do check out the following!
Answer:
It rotates 50 times a second
Step-by-step explanation:
There is 60 seconds in a minute,so all you have to do is Divide 30,000 by 60 and you get 50!
Answer: 203.5mg and 322.5mg
Step-by-step explanation:
Let represent two serving of Mc Donald quarter pounds with = m
Let three Burger King whopper = b
given:
1). m + b = 300 + 395......equation 1.
1). m + b = 695.
And
2). 3m + b = 288.......... equation 2.
• Using Elimination method, Multiply both sides of eqn.(1) and (2)by 3. then
-3m + 3b = 2084
9m + 3b = 864
Subtract equation (1) from (2).
6m = 1221
Divide both sides by -6
m = 203.5
Substitute (m) into equation 1
3m + b = 288.
3(203.5) + b = 288.
610.5 + b = 288
b = 610.5 - 288
b = 322.5
Two servings of Mc Donald quarter pound has 203.5mg of cholesterol.
Three servings of whopper has 322.5mg of cholesterol.
C is the correct shape.
Explanation:
The ratio of the sides must be the same for the postcard and the painting. The painting has a ratio of 30.25 to 25.25. If you simplify this and divide both sides by 5, you get 6.05 to 5.05, which matches C.
Hope that helps!
-Grace
