Answer:
(a) 0.7
(b) 4.9
Step-by-step explanation:
If z is a linear function of x and y and the slopes in the x and y directions are 3 and 2, respectively, z can be written as:
Where 'c' is a constant value.
(a) A change of 0.2 in x and 0.1 in y produces the following change in z:
(b) Applying the point x=7, y=4, z=5 to the general equation gives us the value of 'c':
For x=7.1 and y=3.8, the value of z is:
Answer:
hello
Step-by-step explanation:
we can write this like that
-5x=10
x=10/-5
x=-2
if we multiply two minus numbers then we get positive number like this
-2×(-5)=10
hope it helps
Answer:
sin(θ) =
Step-by-step explanation:
See the attachment.
We know that cosine is adjacent divided by hypotenuse. So since cos(θ) = -2/11, then the adjacent is -2 and the hypotenuse is 11.
Sine is opposite divided by hypotenuse. Find the opposite, which is the unlabelled side, by using the Pythagorean Theorem:
x =
So, sin(θ) =
Hope this helps!
P = 2(L + W)
P = 96
L = 2W + 8
96 = 2(2W + 8 + W)
96 = 2(3W + 8)
96 = 6W + 16
96 - 16 = 6W
80 = 6W
80/6 = W
40/3....or 13 1/3 ft <== width
L = 2W + 8
L = 2(40/3) + 8
L = 80/3 + 8
L = 80/3 + 24/3
L = 104/3 or 34 2/3 <== length
Answer:
The interest is $1600 and the amount is $3600.
Step-by-step explanation:
STEP 1: Find an interest by using the formula I=P⋅i⋅t, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years.
In this example P = $2000, i = 4% and t = 20 years, so
III=P⋅i⋅t=2000⋅0.04⋅20=1600
STEP 2: Find an amount by using the formula A=P+I.
Since P = $2000 and I = $1600 we have
AAA=P+I=2000+1600=3600