The volumes of two similar prisms are 891 cm3 and 33 cm3. The surface area of the larger prism is 153 cm2. What is the surface a

Answer:

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Answer:

Option (B)

Step-by-step explanation:

The given question is incomplete; please refer to the attached document for the full details.

In the attached graph,

The parent function is defined as an absolute value function,

f(x) = |x|

When this graph is moved four units to the left, the translation rule becomes,

f(x) → f(x + 4)

Consequently, the new function following this translation is,

g(x) = f(x + 4) = |x + 4|

Now, with the graph shifted down by two units, the translated function becomes,

h(x) = g(x) - 2

h(x) = |x + 4| - 2

When reformulated as an equation, the graph can be represented by

⇒ y = |x + 4| - 2

Thus, Option (B) is the correct answer.

Answer:

The height of the triangular pyramid base is represented by s√3/2 units.

Step-by-step explanation:

This question focuses on calculating the height of the equilateral triangle at the base of the oblique pyramid.

According to the question, the equilateral triangle side has a length of a units.

Let’s review some properties of equilateral triangles:

a. All sides are identical in length, in this case, side s represents all sides.

b. All angles measure the same, at 60 degrees each.

c. Drawing a perpendicular line from the top vertex to the base divides the triangle into two right triangles, which have angles of 60 and 30 degrees, respectively.

To find the height of this triangular base, we can utilize either of the two right-angled triangles.

Recall the angles of 30, 60 and the side length s.

For height h calculation, trigonometric functions will assist us.

The relevant trigonometric relationship involves the sine of the angle (where side length s is the hypotenuse and height h is the opposite side relative to the 60-degree angle).

Thus, we can express this as:

Sine of an angle = opposite side length/hypotenuse length

sin 60 = h/s

Consequently, h = s sin 60.

In surd form, this yields:

sin 60 = √3/2.

Therefore, we find:

h = s * √3/2 = s√3/2 units.

Answer:

A

Step-by-step explanation:

To construct the perpendicular bisector, follow these steps:

Step 1:

Set the compass to a distance greater than half the length of segment AB, place it on point A, and draw an arc across AB.

Step 2:

Keeping the same width, place the compass on point B and create another arc across AB.

Step 3:

With the ruler, connect the two intersection points of the arcs by drawing a line.

Step 4:

This line will be the perpendicular bisector of the segment AB.

Thus, option A is the correct choice.

Response: 87%
Solution:
87 correct answers out of 100 = 87/100 = 0.87 = (convert to percentage by shifting the decimal place two positions to the right) 87%