Answer:
32+8k
Step-by-step explanation:
multiply both sides by the number outside parenthesis
Answer:
Ok. so let's teach you how to find the angles of a triangle. When you add all three sides, they must equal 180 degrees. Because of this, let's do some math. What is 96+35. Ima pretend you said 131 and so you would be right. Now let's subtract that from 180 degrees. 180-131 is 49 and so x is 49 degrees. Hope this helps!!
Answer:
8a. x = 16√3
8b. y = 8√3
Step-by-step explanation:
8a. Determination of the value of x
Adjacent = 24
Hypothenus = x
Angle θ = 30°
The value of x can be obtained by using cosine ratio as illustrated below:
Cos θ = Adjacent /Hypothenus
Cos 30 = 24 / x
√3/2 = 24/x
Cross multiply
x × √3 = 2× 24
x × √3 = 48
Divide both side by √3
x = 48/√3
Rationalise
x = 48/√3 × √3/√3
x = 48√3 / √3 × √3
x = 48√3 / 3
x = 16√3
8b. Determination of the value of y
Opposite = y
Adjacent = 24
Angle θ = 30°
The value of y can be obtained by using Tan ratio as illustrated below:
Tan θ = Opposite / Adjacent
Tan 30 = y / 24
1 / √3 = y /24
Cross multiply
y × √3 = 1 × 24
y × √3 = 24
Divide both side by √3
y = 24 /√3
Rationalise
y = 24 /√3 × √3/√3
y = 24 ×√3 / √3 × √3
y = 24√3 / 3
y = 8√3
Answer:
129.9 kPa
Step-by-step explanation:
The relationship between temperature T, volume V and pressure P is given by the ideal gas equation which is given as
K = PV/T where K is a constant such that were there is a change of temperature T₁, volume V₁ and pressure P₁ to temperature T₂, volume V₂ and pressure P₂ then the relationship may be given
P₁V₁/T₁ = P₂V₂/T₂
where T is measured in ⁰K
T₁ = -50 + 273
= 223 ⁰K
T₂ = 102 + 273
= 379 ⁰K
5 × 107/223 = P₂ × 7/379
P₂ = 129.9 kPa
The answer is 10 days
(after 4 days, they still needed to install 360 chairs, 600-360=240 - meaning they installed 240 chairs in 4 days. to find out how many chairs they installed in 1 day, divide 240 by 4 and you find they installed 60 chairs per day. Then divide 360 by 60 to find the remaining days needed to install the rest of the chairs, which is 6 days then add it onto the 4 days already completed)
