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3 years ago

A triangular pyramid has a height of 27 yards and a base with an area of 210 square yards.

Mathematics

1 answer:

Semenov [28]3 years ago

3 0

Answer:

1890 yd³

Step-by-step explanation:

V = ½Ah

= ½ × 210 × 27

= 1890 yd³

The volume of the pyramid is 1890 yd³.

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4x-6 equals -2 algebraically

Angelina_Jolie [31]

Answer:

x=1

Step-by-step explanation:

4x-6= -2

+6=+6

4x=4

4 = 4

x= 1

3 0

3 years ago

Solve the following system of equations: y=2x + 1 y = -x+4 x= ? y=?

patriot [66]

Answer:

x= 1, y=3

Step-by-step explanation:

y= 2x +1

y= -x +4

Those two equation are in a system that means they need to be true in the same time. Just like I would say look for a car that is red and is a truck in this case we look for x and y is true that y = 2x+1 and is true that y= =x+4.

so y= 2x+1 but y is -x+4 so substitute

-x+4 = 2x +1, add x on both sides

4= 2x+x +1, subtract 1 from both sides

4-1 = 2x +x, combine like terms

3 = 3x , divide both sides by 3

x=1

if x=1 we substitute in y= -1 +4 = 3

4 0

3 years ago

NEED HELP PLEASE IM BEGGING YOU PLEASE!!! NEED HELP ON ALL OF THEM PLEASE!!!!

sergiy2304 [10]

Answer:

B, F, B

Step-by-step explanation:

This is like pre algebra it's not that hard

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3 years ago

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Natali5045456 [20]

I am not sure but I think it’s b

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3 years ago

Find x so that x, X +2, X'+3 are the first three terms of a geometric sequence. Then find the 5" term of the

velikii [3]

Answer:

The fifth term is -1/4.

Step-by-step explanation:

We know that the first three terms of the geometric sequence is x, x + 2, and x + 3.

So, our first term is x.

Then our second term will be our first term multiplied by the common ratio r. So:

$x+2=xr$

And our third term will be our first term multiplied by the common ratio r twice. Therefore:

$x+3=xr^2$

Solve for x. From the second term, we can divide both sides by x:

$\displaystyle r=\frac{x+2}{x}$

Substitute this into the third equation:

$\displaystyle x+3=x\Big(\frac{x+2}{x}\Big)^2$

Square:

$\displaystyle x+3 = x\Big( \frac{(x+2)^2}{x^2} \Big)$

Simplify:

$\displaystyle x+3=\frac{(x+2)^2}{x}$

We can multiply both sides by x:

$x(x+3)=(x+2)^2$

Expand:

$x^2+3x=x^2+4x+4$

Isolate the x:

$-x=4$

Hence, our first term is:

$x=-4$

Then our common ratio r is:

$\displaystyle r=\frac{(-4)+2}{-4}=\frac{-2}{-4}=\frac{1}{2}$

So, our first term is -4 and our common ratio is 1/2.

Then our sequence will be -4, -2, -1, -1/2, -1/4.

You can verify that the first three terms indeed follow the pattern of x, x + 2, and x + 3.

So, our fifth term is -1/4.

4 0

3 years ago