90% as a decimal is .9 and then as a fraction in simplest form is 9/10
Hope it helps
Answer:
Step-by-step explanation:
12x - 3y = 10
-3y = -12x + 10
y = 4x - 10/3....the slope here is 4
parallel lines will have the same slope
y = mx + b
slope(m) = 4
(-5,3)...x = -5 and y = 3
now we sub and find b, the y int
3 = 4(-5) + b
3 = -20 + b
3 + 20 = b
23 = b
so ur equation is : y = 4x + 23 <==
Answer:
Step-by-step explanation:
If x varies directly as the product of p and m, and inversely with y, the relation can be written ...
x = k(pm)/y . . . . where k is the constant of proportionality
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This can be solved for k:
k = xy/pm
For the given values, the value of k is ...
k = (2)(4)/((0.5)(2)) = 8
Then the relation between the variables can be written ...
(xy)/(pm) = 8
Answer:Area = 492.4 m²
Explanation:The area of the triangle can be calculated using the side-angle-side method as follows:
Area = 0.5 * first side * second side * sin(angle included between these two sides)
This rule is illustrated in the attached image.
Now, we have:
AB = 40 m
BC = 25 m
angle B which is the angle included between AB and BC = 80 degrees
The given angle is included between the two given sides, therefore, we can apply the above rule to get the area.
Area of triangle = 0.5*40*25*sin(80)
Area of triangle = 492.4 m²
Hope this helps :)