Someone help me with my homework

Mathematics

2 answers:

ki77a [65]3 years ago

6 0

Answer:

Step-by-step explanation:

The answer is C both the cube and rectangular prisms have 12 edges. We can tell the first two are wrong because both have 6 sides. We can tell the last one is wrong by counting. Both shapes have over 6 edges.

andreev551 [17]3 years ago

5 0

Answer:

Each shape has 12 edges

Step-by-step explanation:

Counting the faces, each shape has 6 faces, which rules out choices a and b

Counting edges (NOT corners), each shape has 12 edges, which rules out choice d.

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What is the sum of the first five terms of a geometric series with a1 =20 and r =1/4?

drek231 [11]

The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,

Sn = (a1(1−r^n) / (1−r)

Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625

Thus, the sum of the first four terms is 26.5625.

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3 years ago

Given two points on a line, write the equation of the line in slope intercept form. The points are (-4,10), (6,5). Please show a

Aleonysh [2.5K]

The slope is 1/2.
The y-intercept is 8.

Here is the equation:

$y=1/2x+8$

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3 years ago

Rectangle $ABCD$ is the base of pyramid $PABCD$. If $AB = 8$, $BC = 4$, $\overline{PA}\perp \overline{AD}$, $\overline{PA}\perp

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

Since the base of the pyramid PABCD is a rectangle, the shape in question is a rectangular based pyramid. Volume of a rectangular based pyramid is expressed as V = 1/3 * Base Area * Height of the pyramid.

Given a rectangle ABCD with AB = 8 and BC = 4, the area of the rectangle will be equivalent to the base area of the pyramid.

Base Area = Length * Breadth

Base Area = AB * BC

Base Area = 8*4 = 32

If $\overline{PA}\perp \overline{AD}\ and \ \overline{PA}\perp \overline{AB}$ , and PB = 17, then the height of the pyramid is PB = 17.