Answer:
x = 21.4
Step-by-step explanation:
We need to use the law of sins
sin 42 sin x
--------- = ----------
22 12
12 sin 42 = 22 sin x
12 sin 42 /22 = sin x
Taking the inverse sin of each side
sin^-1(12/22 sin 42) = sin^-1(sin x)
21.40637223 =x
To the nearest tenth
x = 21.4
Answer:
Since
= 6 and
= 7 it is known that
is between 6 and 7.
Step-by-step explanation:
Answer:

Step-by-step explanation:
The missing parameters are:
--- Cost of marble countertops
--- Cost of retail markup
Required
The cost of marked up price
This implies that we calculate m(c(a))
We have:

can be written as:

Substitute:


Hence, the cost of marked up price is: 
Answer:
x = 1
y = -3
Step-by-step explanation:
cos(pi) = -1
so many ways :
sqrt(0.5/2) = sqrt(0.5/2 × 8/8) = sqrt(4/16)
= sqrt(0.5/2 × 18/18) = sqrt(9/36)
= sqrt(1/4) = 1/2
"nicest" approach (all integers) :
3x² = sqrt(9)
3x² = 3
x² = 3/3 = 1
x = 1
2y = sqrt(36)
2y = 6
y = 6/2 = 3
one of them has to be negative (because cos(pi) = -1), so it has to be y, because 3x² cannot be negative with real numbers.
so, y = -3
-1 × 3×1²/(2×-3) = sqrt(0.5/2) = 1/2
-1 × 3/-6 = 1/2
3/6 = 1/2
1/2 = 1/2
correct
Answer:
I'll setup the problem and you can do the calculations
Step-by-step explanation:
Total length of straw - L
Length of piece 1 - x
Length of piece 2 - y
Length of piece 3 - z
What's given and the answer to (i)
y = x - 3
z = 2x
(ii) L = x + y + z = x + x - 3 + 2x
L = 4x-3
(iii) x = (21+3)/4 = 24/4
leaving you to calculate x
then substitute x into expressions for y & z above and you will have the answer
comment if you have questions