Answer:
AE = 7.5
Step-by-step explanation:
Since <BAC = 
, then;
<BAD = <DAE = <CAE = 
(complementary angles)
From ΔABC, applying the Pythagoras theorem to determine the length of side AC;
= 
+ 
= + 
100 = + 25
= 100 - 25
= 75
AC = 
Applying trigonometric function to ΔCAE,
Cos = 
AE = × Cos
= 7.5
Therefore, AE = 7.5
The slope is the same as the gradient
y=mx+c where m is the gradient and c is the y intercept
y=-5x-9
Therefore the 'slope' is -5 i.e. it goes down 5 every 1 across.
Answer:
asymptotes: x = 16 zeros: x = 0
The vertical asymptotes of the rational expression are the places where the denominator is zero:
x -16 = 0 . . . . . true for x=16
__
The zeros of a rational expression are the places where the numerator is zero:
4x = 0
x = 0 . . . . . . divide by 4
asymptotes: x = 16 zeros: x = 0
learn more about asymptotes and zeros here:
brainly.com/question/16908830
#SPJ1
Answer:
John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
Step-by-step explanation:
Let the number of grams of the 30% solution = x
Let the number of grams of the 60% solution = y
John needs 20 grams of 54% acid solution for his science project.
Hence,
x + y = 20 grams..... Equation 1
x = 20 - y
His school's science lab has bottles of 30% solution and bottles of 60% solution.
30% × x + 60% × y = 54% × 20
0.3x + 0.6y = 10.8......Equation 2
We substitute 20 - y for x in Equation 2
0.3(20 - y) + 0.6y = 10.8
6 - 0.3y + 0.6y = 10.8
- 0.3y + 0.6y = 10.8 - 6
0.3y = 4.8
y = 4.8/3
y = 16 grams
x = 20 - y
x = 20 - 16
x = 4 grams
Therefore, John should use:
4 grams of the 30% solution and 16 grams of the 60% solution
