Five added to the number, x.
Step-by-step explanation:
Five represents (5)
added to represents (+)
The number, x. represents (x)
Answer:
The new pressure is 4.27 pounds
Step-by-step explanation:
In this question, we have the volume varying inversely as the pressure;
Firstly, let's say the volume is V and the pressure is P
Mathematically;
V ∝ 1/P
Let us insert a constant of proportionality K
⇒ VP = K
Let's calculate the value of K
K = 32
× 8 = 256 
Now in the second scenario, pressure is unknown but we know the volume to be 60
Recalling; VP = K
P = K/V = 256 /60 = 4.27 pounds
Answer:
Option A: P ≈ 38.7 in, A ≈ 63.7 in²
Step-by-step explanation:
We are told that △MNO ~△DEF. This means that they are similar triangles.
We can solve for this using scale factor.
a) Perimeter of △MNO
The scale factor of two similar triangles is equal to the ratio of the perimeter of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Perimeter of △MNO = X
Perimeter of △DEF = 52in
Scale factor (k) = 6.7/9
Hence,
6.7/ 9 = X/52
Cross Multiply
9X = 6.7 × 52
X = 6.7 × 52/9
X = 38.711111111 inches
To the nearest tenth, Perimeter of △MNO = 38.7 inches
b) Area of △MNO
The square of the scale factor of two similar triangles is equal to the ratio of area of the triangles
Scale factor(k) = ratio of the sides of the triangles
In the diagram we are given
Side of △MNO = 6.7in
Side of △DEF = 9in
Area of △MNO = Y
Area of △DEF = 115in²
Scale factor (k) = 6.7/9
Hence,
(6.7/ 9)² = Y/115
6.7²/9² = Y / 115
Cross Multiply
9² × Y = 6.7² × 115
Y = 6.7²× 115 /9²
Y = 63.732716049 square inches
To the nearest tenth, Area of △MNO = 63.7 in²
Step-by-step explanation:
The answer is 0 because all you have to do is calculate
