Answer: x=16
Step-by-step explanation:
For this problem, we can set a proportion to find the side length of the smaller rectangle.
[cross multiply]
[divide both sides by 15]
x=16
Answer:
x = 10
Step-by-step explanation:
61 - 21 = 40
40 / 4 = 10
x = 10
1/2r -3= 3 (4-3/2r) is to be solved for r.
I'll begin by making the assumptions that by 1/2r you actually meant (1/2)r and that by 3/2r you actually meant (3/2)r. When in doubt, please use parentheses to make your meaning clear.
Thus, 1/2r -3= 3 (4-3/2r) becomes (1/2)r -3= 3 (4-(3/2)r ) .
Simplify this by multiplying all 3 terms by 2. Doing this will eliminate the fractions:
r -6 = 3 (4*2-(3)r ) or r - 6 = 24 - 9r
Now expand the right side, using the distributive property of
r - 3 = 24 - 9r
Regrouping so as to combine like terms:
10r = 30
Solving for r: r = 30/10 = 3
The value of r that satisfies this equation is 3
We know that
in the right triangle
sin x=opposite side angle x/hypotenuse
opposite side angle x=66 mm
hypotenuse=79 mm
so
sin x=66/79
x=arc sin (66/79)-------> x=56.66°-------> x=56.7°
the answer is
x=56.7°
Answer:
yes
Step-by-step explanation:
To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line
- 3 + (4 × 4) = - 3 + 16 = 13 = right side
Hence (- 3, 4) lies on the line x + 4y = 13
