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BaLLatris [955]
3 years ago
15

Which lengths can be used, directly or indirectly, to calculate the volume of the hexagonal right pyramid? Select three options.

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

The volume is 1/3 * height * area of the base so we need the height and this area to find the volume. Note: if we join the point S to each of the vertices of the base we get 6 equilateral triangles so knowing the length of a side of the base we can find the area of the base.

The following lengths can be used:

XY and ST  We can get the area of the base knowing the length of XY and ST is the height.

VU and TW. From VU we can get the area of the base and the length of SW and from the length of TW and SW we can get the height.

TX and WX . From WX we can get the area of the base and the length of SX and from TX and SX we can find the height.

IrinaK [193]3 years ago
6 0

Answer:

A, B, D on edg

Step-by-step explanation:

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The area of a triangle is 11.5 square in the base is 23 in what is the height in inches
coldgirl [10]

Answer:

Height = 1 inch

Step-by-step explanation:

area of triangle = 1/2 x base x height

       11.5 =1/2 x 23 x height

       23/23 = height

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What is the solution of this system of linear equations? 3y = 3 y equals StartFraction 3 over 2 EndFraction x plus 6.X + 6 y – S
Scrat [10]

Answer:

(0,6)

Step-by-step explanation:

The given system of equations is

y =  \frac{3}{2}x + 6

and

\frac{1}{2}y -  \frac{1}{4}x = 3

We substitute the first equation into the second equation to get:

\frac{1}{2} ( \frac{3}{2}x + 6) -  \frac{1}{4}x = 3

We expand to get:

\frac{3}{4} x + 3 -  \frac{1}{4}x = 3

We group similar terms to get:

\frac{3}{4}x -  \frac{1}{4}x = 3 - 3

\frac{1}{2}x = 0

x = 0

Put x=0 in to the first equation to get:

y = 6

Therefore the solution is (0,6)

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To earn a fitness reward, your average heart rate while walking must be between 80 and 89 beats per minute, inclusive. Suppose y
eimsori [14]

Answer:

Between 67 and 103 beats per minute

Step-by-step explanation:

The minimum would be 80. That means that the minimum sum would have to be 320 among the four numbers.

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320-253=67 so 67 will be the minimum

now, we should see the maximum. It will be 89 so the sum of the four numbers cannot be anymore than 89*4 which is 356

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