To solve for this, set up a proportion.
21/40 = x/100.
Cross multiply the fraction's numerators with the denominators;
21 x 100, 40 and x.
2100/40x.
Divide both numbers by 40 to get x.
2100/40 = 52.5
21 is 52.5% of 40.
I hope this helps!
Answer:
option B : 12 degree
Step-by-step explanation:
The sum of angles in a triangle = 180 degree
Small box represents 90 degree
From the inner triangle
90 + angle y + 29 = 180 degree
90 + y + 29 = 180
119 + y = 180 (subtract 119 on both sides)
y= 61 degree
(y+x) is the top angle for bigger triangle
From the outer triangle , 90 + (y+x) + 17 = 180
We know y = 61
90 + (61+x) + 17 = 180
90 + 61 + x 17 = 180
168 +x = 180(subtract 168 on both sides)
x= 12 degrees
There both being multiplied by 5
Answer:
) See annex
b) See annex
x = 0,5 ft
y = 2 ft and
V = 2 ft³
Step-by-step explanation: See annex
c) V = y*y*x
d-1) y = 3 - 2x
d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x
V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²
Taking derivatives
V¨(x) = 9 + 12x² - 24x
V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0
Solving for x (second degree equation)
x =[ -b ± √b²- 4ac ] / 2a
we get x₁ = 1,5 and x₂ = 0,5
We look at y = 3 - 2x and see that the value x₂ is the only valid root
then
x = 0,5 ft
y = 2 ft and
V = 0,5*2*2
V = 2 ft³
Answer:
The rate is 
degree per hour.
Step-by-step explanation:
Given : A scientist conducted an experiment. Due to chemical reaction, the temperature of a compound rose 
degree every 
hour for a limited time.
To find : What was the rate, in degrees per hour that the temperature of the compound rose ?
Solution :
In every hour the temperature of a compound rose degree
To get the rate, in degrees per hour,
In every 1 hour the temperature of a compound rose is
degree
degree/hr
degree/hr
Therefore, the rate is degree per hour.
