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3 years ago

What is the sum of 171

1 answer:

3 0

Divide 171 by 3. 57
Therefore the middle integer is 57
Therefore the highest integer is "2" higher = 59 
The lowest integer is 2 lower to "balance" the higher digit = 55 

Therefore using common sense rather than "let x=....." the answer is 55, 57 and 59.

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How can you find all of the dimensions of a rectangle prism with the given volume

katen-ka-za [31]

You can't. Knowing the volume doesn't tell you the dimensions.
There are an infinite number of different rectangular prisms, all
with different dimensions, that all have the same volume.

Here's an example. Let's say I have a rectangular prism and its
volume is 64.

The dimensions could be . . .

1 x 1 x 64
1 x 2 x 32
1 x 4 x 16
1 x 8 x 8
2 x 2 x 16
2 x 4 x 8
4 x 4 x 4 .

If I only tell you the volume, there is no way to figure out the dimensions.

4 0

4 years ago

The base of a solid right pyramid is a regular hexagon with a radius of 2x units and an apothem of units. A solid right pyramid

Xelga [282]

Answer:

$6 x^2*\sqrt{3}$

Step-by-step explanation:

The base of the pyramid we need to study is a hexagon.

Let's look at the attached image of an hexagon to understand how we are going to find the area of this figure.

Notice that an hexagon is the combination of 6 exactly equal equilateral triangles in our case of size "2x" (notice that the "radius" of the hexagon is given as "2x")

Therefore the area of the hexagon is going to be 6 times the area of one of those equilateral triangles.

We know the area of a triangle is the product of its base times its height, divided by 2: $\frac{base*height}{2} = \frac{2x*height}{2}$

We notice that the triangle's height is exactly what is called the "apothem" of the hexagon (depicted in green in our figure) which measures $x\sqrt{3}$ , so replacing this value in the formula above for the area of one of the triangles:

$\frac{2x*height}{2}= \frac{2x*x\sqrt{3} }{2}=x^2\sqrt{3}$

Then we multiply this area times 6 to get the total area of the hexagon (6 of these triangles):

Area of hexagon = $6x^2\sqrt{3}$

which is the last option given in the list.

5 0

3 years ago

Read 2 more answers

Marcia is 1.5 meters tall. she casts a shadow that is 2 meters long. a nearby building casts a shadow that is 24 meters long. ho

ankoles [38]

Ratio and proportion

height:shadow=1.5:2

for the building, shadow=24

1.5:2=h:24
1.5/2=h/24
multiply both sides by 24
36/2=h
18=h
the building is 18 meters

3 0

3 years ago

Read 2 more answers

Solve the system by using the technique of ‘elimination’: -2x+5y=-42,7x+2y=30

Gekata [30.6K]

Solve the following system using elimination:

{5 y - 2 x = -42 | (equation 1)

7 x + 2 y = 30 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 2 y = 30 | (equation 1)

-(2 x) + 5 y = -42 | (equation 2)

Add 2/7 × (equation 1) to equation 2:

{7 x + 2 y = 30 | (equation 1)

0 x+(39 y)/7 = (-234)/7 | (equation 2)

Multiply equation 2 by 7/39:

{7 x + 2 y = 30 | (equation 1)

0 x+y = -6 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{7 x+0 y = 42 | (equation 1)

0 x+y = -6 | (equation 2)

Divide equation 1 by 7:

{x+0 y = 6 | (equation 1)

0 x+y = -6 | (equation 2)

Collect results:

Answer: {x = 6, y = -6

3 0

3 years ago

Plz help I need with this answer

Ilia_Sergeevich [38]

Answer: -5

Step-by-step explanation: all three angles in a triangle add up to 180 degrees

8 0

3 years ago