The composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The composite solid's surface area is 225.4 square inches.
Step-by-step explanation:
Step 1:
The given composite shape is made up of a cube with a side length of 5 inches and a cylinder with a radius of 2 inches and a height of 4 inches.
The surface area of the composite shape is given by summing the individual surface areas.
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
Step 2:
Any cube's surface area is calculated by multiplying 6 with the square of the side length (
).
The cube's surface area =
=
=
square inches.
Step 3:
Any cylinder's surface area is calculated with the following formula;
The cylinder's surface area =
=
=
square inches
Step 4:
The composite shape's surface area = The cube's surface area + the cylinder's surface area.
The composite shape's surface area = 150 + 75.398 = 225.398 square inches. Rounding this off, we get the area as 225.4 square inches.
do you mind rephrasing it in english
will
Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Step-by-step explanation:
The equation
can be solved by squaring both sides:

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

The square root of 49 equals 7, but the square root of -1 is an imaginary number.
The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>
Answer:
20.25
Step-by-step explanation:
Percentage solution with steps:
Step 1: Our output value is 135.
Step 2: We represent the unknown value with $x$
.
Step 3: From step 1 above,$135=100\%$
.
Step 4: Similarly, $x=15.\%$
.
Step 5: This results in a pair of simple equations:
$135=100\%(1)$.
$x=15.\%(2)$
.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{135}{x}=\frac{100\%}{15.\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{135}=\frac{15.}{100}$
$\Rightarrow x=20.25$Therefore, $15.\%$ of $135$ is
sorry if it took to long have a great day and brainliest is appreciated!!!!!