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3 years ago

How is finding the surface area of a three-dimensional figure related to the net of the figure?

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer:

(B)The surface area is equal to the area of its two-dimensional net.

Step-by-step explanation:

The surface area of a 3D object is the sum of the areas of the various sides that make up this figure. Essentially, if you unroll the object into its 2D net, then the area that this net covers will be the surface area.

Think about a cube, for example. It has 6 square sides, so its surface area is the sum of the areas of those squares. If we take the net of the cube, it's also 6 squares, and if we sum those together, we'll get the same answer.

Thus, the answer is B.

Oduvanchick [21]3 years ago

8 0

According to me, I think it will be option (b) The surface area is equal to the area of its two-dimensional net.

HOPE IT HELPS YOU

HAVE A GOOD DAY ❤️☺️

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In the figure, a || e, m || n , and m<1 = 108°

antoniya [11.8K]

Answer:

108°

Step-by-step explanation:

Angle 1 = Angle 2

Vertically opposite angles

Angle 2 = Angle 3 = 108

Corresponding angles

6 0

3 years ago

Please help. Write the equation of the graph. (Do not use spaces. Use ^ to represent exponents. Example 2^3 is 23.)

lana66690 [7]

This graph has a horizontal asymptote so it is an exponential graph. It also passes through two points (0,-2) and (1,3). The horizontal asymptote is at y=-3.
The unchanged exponential equation is y=a(b)^x +k
For exponential equations, k is always equal to the horizontal asymptote, so k=-3.
You can check this with the ordered pair (0,-2). After that plug in the other ordered pair, (1,3).
This gives you 3=a(b)^1 or 3=ab. If you know the base the answer is simple as you just solve for a.
If you don't know the base at this point you have to sort of guess. For example, let's say both a and b are whole numbers. In that case b would have to be 3, as it can't be 1 since then the answer never changes, and a is 1. Then choose an x-value and not exact corresponding y-value. In this case x=-1 and y= a bit less than -2.75. Plug in the values to your "final" equation of y=(3)^x -3.
So -2.75=(3^-1)-3.
3^-1 is 1/3, 1/3-3 is -8/3 or -2.6667 which is pretty close to -2.75. So we can say the final equation is y=3^x -3.
Hope this helps! It's a lot easier to solve problems like these given either more points which you can use system of equations with, or with a given base or slope.

7 0

3 years ago

Please help me on number 4 or 6 ITS DUE RIGHT NOW

melamori03 [73]

Answer:

#6:

A: $m=-\frac{2}{5}$

Step-by-step explanation:

Points: (3, -5) and (-7, -1)

Slope Formula: $m=\frac{y_{2} - y_{1} }{x_{2} -x_{1} }$

$m = \frac{-5+1}{3-(-7)}$

$m = -\frac{4}{10}$

$m =- \frac{2}{5}$

6 0

3 years ago

Tom and Jimmy plan to leave at the same time from home and

raketka [301]

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

The distance between Tom and Jimmy's home is $\underline{1,617.\overline 7 \ meters}$ <u />

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's house from the café

52 × (4 + t) = 70 × t

52 × 4 = 70 × t - 52 × t = 18 × t

$\displaystyle t = \frac{52 \times 4}{18} = \frac{104}{9} = 11.\overline{6}$

The time it take Jimmy to reach the café, <em>t</em> = $\mathbf{11.\overline6}$ minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + $11.\overline6$ ) + 70 × $11.\overline6$ = 1,617. $\mathbf{\overline 7}$

The distance between Tom and Jimmy's home = 1,617. $\overline 7$ meters

Learn more about simultaneous equations here:

brainly.com/question/12413726

6 0

3 years ago

Suppose that P(n) is a propositional function. Determine for which nonnegative integers n the statement P(n) must be true if a)

wel

Solution :

a). $P(0)$ is true

Then , $P(0+2)=P(2)$ is true.

$P(2+2)=P(4)$ is true

$P(4+2)=P(6)$ is true.

Therefore, we see that $P(n)$ is true for all the even integers : $\{0, 2,4,6,...\}$

b). $P(0)$ is true

Then , $P(0+3)=P(3)$ is true.

$P(3+3)=P(6)$ is true

$P(6+3)=P(9)$ is true.

Therefore, we see that $P(n)$ is true for all the multiples of 3 : $\{0, 3,6,9,12,...\}$

c). $P(0)$ and $P(1)$ is true, then $P(0+2)=P(2)$ is true

$P(1)$ and $P(2)$ is true, then $P(1+2)=P(3)$ is true.

$P(2)$ and $P(3)$ is true, then $P(2+2)=P(4)$ is true.

So, we observe that $P(n)$ is true for all the non- negative integers : $\{0, 1,2,3,4,5,6,...\}$ .

d). $P(0)$ is true,

So, $P(0+2)$ and $P(0+3)$ is true or $P(2)$ and $P(3)$ is true.

Now, $P(2)$ is true.

Again, $P(2+2)$ and $P(2+3)$ is true or $P(4)$ and $P(5)$ is true.

Now, $P(3)$ is true.

Again, $P(3+2)$ and $P(3+3)$ is true or $P(5)$ and $P(6)$ is true.

Thus,

$P(n)$ is true for all the non- negative integers except 1 : $\{0, 2,3,4,5,6,...\}$ .

3 0

3 years ago