Here is your answer
Let the widht of rectangle be x metres
Then, its length= x+2 metres
Perimeter= 2 (l+b)
=> 34 = 2 (x+2 + x)
=> 34/2 = 2x+2
=> 17= 2x+2
=> 2x= 17-2
=> x = 15/2 metres
Width= 15/2 metres
Length= 15/2 + 2
= 19/2 metres
HOPE IT IS USEFUL
Answer:
The correct answer is option A 17.8°
Step-by-step explanation:
From the figure attached with this answer,
We can see a perpendicular from B to side AC
<u>To find BD</u>
In triangle BDC, its angles are 30°, 60° and 90°
Therefore the sides are in the ratio 1 :√3 : 2
Here BC = 11
BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11
Therefore BD = 11/2
<u>To find the value of m<A</u>
We have
Sin ∅ = Opposite side /Hypotenuse
AB = 18 and BD = 11/2
Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055
m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°
Therefore the correct answer is option A 17.8°
Answer:
Hello if I know the answers to your math questions I'll answer if there already posted I'll check your profile if not please post them thank you!
Let
x = number of liters of the 40% salt solution
y = number of liters of the 20% salt solution
The two amounts (x and y) must combine to 1500 liters, so
x+y = 1500
we can solve for y to get
y = 1500-x
after subtracting x from both sides
---------------------------------------------------
If we have x liters of the 40% salt solution (composed of pure salt plus other stuff) then we have exactly 0.40*x liters of pure salt. Simply multiply the decimal form of the percentage with the amount of solution.
Similarly, if we have y liters of the 20% solution, then we have 0.20*y liters of pure salt
Combined, we have 0.40*x + 0.20*y liters of pure salt all together.
We want 1500 liters of a 28% solution, so we want 1500*0.28 = 420 liters of pure salt
Equate the two expressions (0.40*x + 0.20*y and 420) to get
0.40*x + 0.20*y = 420
---------------------------------------------------
We have the equation 0.40*x + 0.20*y = 420 and we also know that y = 1500-x
Let's use the substitution property now
0.40*x + 0.20*y = 420
0.40*x + 0.20*( y ) = 420
0.40*x + 0.20*( 1500 - x ) = 420 ... note how y is replaced with 1500-x
Now we can solve for x
0.40*x + 0.20*( 1500 - x ) = 420
0.40*x + 0.20*(1500) + 0.20*(-x) = 420
0.40*x + 300 - 0.20x = 420
0.40*x - 0.20x + 300 = 420
0.20x + 300 = 420
0.20x + 300 - 300 = 420 - 300
0.20x = 120
0.20x/0.20 = 120/0.20
x = 600
Now that we know x, use this to find y
y = 1500-x
y = 1500-600 ... plug in x = 600 (ie replace x with 600)
y = 900
---------------------------------------------------
---------------------------------------------------
Answers:
We need 600 liters of the 40% solution
We need 900 liters of the 20% solution
you would expect 99 duds in a box of 1430. 1430 divided by 130 is 11. therefore, multiply the amount of duds in the package of 130 times 11.
Hope this helps!!