All categories

3 years ago

What is the surface area of the square pyramid represented by the net? Enter your answer in the box. m²

Mathematics

1 answer:

Alborosie3 years ago

7 0

Answer:

1.75 meters² or 175 centimeters²

Step-by-step explanation:

Step 1: Find Area of the Base.

Base is a square with dimensions of 7cm by 7cm
$7*7$

49 cm²

Step 2: Find the Area of the Triangles.

Each triangle has a base of 7cm and a height of 9cm.
7 x 9 = 63, and 63/2 = 31.5
31.5 x 4 = 126 cm²

Step 3: Add the areas together.

$49+126$
175 cm²

Thus, the surface area is 1.75 m^2 or 175 cm^2.

You might be interested in

Can someone help me? I am stuck on how to solve this

Sedaia [141]

Answer:

the answer is 31

Step-by-step explanation:

2+2=4-1=3 quik mafs.

4 0

3 years ago

IWhat is the equation of a line that passes through the points (3, 6) and (8, 4)?

Rzqust [24]

Answer:

$(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)$

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m=\frac{4-6}{8-3}= -\frac{2}{5}$

And for this case we can use the first point to find the intercept like this:

$6 = -\frac{2}{5}(3) +b$

And solving we got:

$b = 6 +\frac{6}{5}= \frac{36}{5}$

And then the line equation would be given by:

$y = -\frac{2}{5}x +\frac{36}{5}$

Step-by-step explanation:

For this case we have the following two points given:

$(x_1 =2, y_1 = 6), (x_2 = 2, y_2 = 4)$

And for this case we want an equation for a line with the two points given by:

$y = mx+b$

Wher m is the slope and b the y intercept. We can find the slope with this formula:

$m =\frac{y_2 -y_1}{x_2 -x_1}$

And replacing we got:

$m=\frac{4-6}{8-3}= -\frac{2}{5}$

And for this case we can use the first point to find the intercept like this:

$6 = -\frac{2}{5}(3) +b$

And solving we got:

$b = 6 +\frac{6}{5}= \frac{36}{5}$

And then the line equation would be given by:

$y = -\frac{2}{5}x +\frac{36}{5}$

5 0

3 years ago

Factor the expression below 6x^2-1

iVinArrow [24]

The expression 6x^2-1 cannot be factored or simplified any further.

4 0

4 years ago

Please please please help me please

Step2247 [10]

Answer:

Each term is a sum of the two previous terms like the fibonacci sequence, but the sum of the two starting terms of the lucas sequence is followed by 2 then 1, rather than 0 then 1 for the fibannaci sequence.

These are integer sequences.

The sum of the two previous terms can be represented by:

fn = fn-1 + fn-2.

These numbers can be obtained by adding the previous corresponding term of the fibonacci sequence by the next corresponding term to get the corresponding number of the lucas sequence.

Ln = { 2 if n = 0

1 if n = 1

Ln-1 + Ln-2 if n > 1

________________

Fn+1 + Fn-1 = Ln

___________________

f(0) = -1

f(1) = 2, f(2) = 1, f(3) = 3, f(4) = 4, f(5) = 7, f(6) = 11

________________________________

f(12) = 199

________

f(12) = f(11) + f(10) = (f(10) + f(9)) + (f(9) + f(8)) = .....

given f(n) = f(n-1) + f(n-2)

____________________

f(12) = f(1) + f(2) = f(2) + f(3) = f(3) + f(4) =

f(4) + f(5) = f(5) + f(6) = f(6) + f(7) =

f(7) + f(8) = f(8) + f(9) = f(9) + f(10) =

f(10) + f(11) = f(12) →

f(12) = 2 + 1 = 1 + [3] = 3 + [4] = 4 + [7] =

7 + [11] = 11 + [18] = 18 + [29] = 29 + [47] =

47 + [76] = 76 + [123] = <u>199</u>

_____________________

Explicit formula

for n is an integer.

Nth term of the lucas sequence.

As you can see, the golden ratio

( 1 + √5 / 2) appears in here.

L(n) = ((1 + √5) / 2)ⁿ⁻¹ + ((1 – √5) / 2)ⁿ⁻¹

6 0

3 years ago

The height of a weather balloon as it is launched can be represented by an exponential model in the form y = a* b^x where y is t

Reil [10]

Answer:

Step-by-step explanation:

4,15

4 0

3 years ago