9514 1404 393
Answer:
- surface area: 456 cm²
- volume: 408 cm³
Step-by-step explanation:
The surface area of the figure is the total of the areas of the two triangular bases and the three rectangular faces.
SA = 2(1/2)(8 cm)(6 cm) + (17 cm)(6 cm + 8 cm + 10 cm)
= 48 cm² + 408 cm²
SA = 456 cm²
__
The volume is the product of the area of the triangular base and the length of the prism.
V = (1/2)(8 cm)(6 cm)×(17 cm) = (24 cm²)(17 cm)
V = 408 cm³
The pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
<h3>What is a proportional relationship?</h3>
It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.
We have:
The pressure, P, of a gas varies inversely with its volume, V.
P ∝ 1/V
P = k/V
k is the constant.
If P = 126 Pa and V = 52 L
126 = k/52
k = 6552
P = 6552/V
Plug V = 168 L
P = 6552/168 = 39 Pa
Thus, the pressure is 39 Pa if the volume is expanded to 168L and the pressure, P, of a gas varies inversely with its volume, V.
Learn more about the proportional here:
brainly.com/question/14263719
#SPJ1
I think this is one of the reducing fractions problem:
If we look at option A.{1/4} {1/5} {1/6} {1/7} {1/8}.
Here, the reduced form of all the fractions is not equal to 1/4
If we look at option B. <span>1/4,2/4,3/4,4/4,5/4.
</span>Here, the reduced form of all the fractions is not equal to 1/4<span>
if we look at option C. </span><span>1/4,2/8,3/12,4/16,5/20.
</span>Here, the reduced form of all the fractions is not equal to 1/4<span>
If we look at option D.</span>1/4,2/8,4/16,6/24,8/32.
Here, the reduced form of all the fractions is equal to 1/4
i.e.
1/4 = 1/4
2/8 = 1/4
4/14 = 1/4
6/24 = 1/4
5/20 = 1/4
So, the correct answer is D.
Answer:
c = 6√2
Step-by-step explanation:
The following data were obtained from the question:
Angle θ = 30°
Opposite = 3√2
Hypothenus = c
The value of 'c' can be obtained by using the sine ratio as shown below:
Sine θ = Opposite /Hypothenus
Sine 30° = 3√2/c
Cross multiply
c × sine 30° = 3√2
Divide both side by sine 30°
c = 3√2 / sine 30°
But: sine 30° = 1/2
c = 3√2 / sine 30°
c = 3√2 ÷ 1/2
c = 3√2 × 2
c = 6√2 yard
Therefore, the value of 'c' is 6√2 yard.
Answer:
3
Step-by-step explanation:
