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3 years ago

A square pyramid is shown below: What is the surface area of the pyramid?

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Well first you would find the area of the square on the bottom
Which would be:
0.7*0.7= .49
Then we would find the area of one of the triangles on the side:
8*0.7= 5.6* 1/2= 2.8
Next, you will multiply the 2.8 by 4, because there are 4 triangles:
2.8*4=11.2
Finally add the 11.2 to the area of the square, and you'll have your answer.
.49+11.2= 11.69
So, B is your answer

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A 4500.00 g bowling ball rolling at a 4.0m/s I NEED HELPPP ASAPPP

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Answer:

Step-by-step explanation:

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2 years ago

A rectangle has an area of 63 square yards and a width of 3. 5 yards. What is the length, l, of this rectangle? l = 9 yd l = 18

LuckyWell [14K]

Answer:

18 yards

Step-by-step explanation:

Rectangle area = Length (L) x Width (W)

63 yd^2 = L*W

63 yd^2 = L*(3.5 yd)

L = 18 yards

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2 years ago

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Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

2 years ago

If you can answer any of these that would be great !

Andrej [43]

Answer:

Step-by-step explanation:

number 2) 0

4 0

2 years ago

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The points A(12,7), B(12,−3), C(−2,−3), and D(−2,7) form rectangle ABCD. Which point is halfway between A and B? CLEAR CHECK (12

Flura [38]

We have that
coordinates are
A(12,7), B(12,−3), C(−2,−3), and D(−2,7)

i use the formula of midpoint between A and B
Xm=(x1+x2)/2 Ym=(y1+y2)/2
A(12,7) B(12,−3)
Xm=(12+12)/2=12
Ym=(7+(-3))/2=2

the point (12,2) is halfway between A and B

4 0

3 years ago