All categories

2 years ago

Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer

Mathematics

1 answer:

gregori [183]2 years ago

5 0

There are two triangular faces and three rectangular faces.
The triangular faces are congruent, so they have the same area. We calculate one and we'll know both.
The three rectangles are different.

Triangular face (each)
Although you can hardly see in the colored figure, there is a small symbol on the right side showing that the 4 km side and the 3 km side of the triangles are perpendicular. That means those sides are the base and the height.
A = (1/2)bh = (1/2)(3 km)(4 km) = 6 km^2

Rectangular faces:
A = LW = 7 km * 3 km = 21 km^2
A = LW = 7 km * 5 km = 35 km^2
A = LW = 7 km * 4 km = 28 km^2

total surface area = 2 * 6 km^2 + 21 km^2 + 35 km^2 + 28 km^2

total surface area = 96 km^2

You might be interested in

I need help with this geometry question

MArishka [77]

Answer:

Approximately 7.8 units

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From the graph, we can see that A is (0,0). Let's let this be x₁ and y₁.

B is (-5,6). Let's let this be x₂ and y₂. So, substitute:

$d=\sqrt{(-5-0)^2+(6-0)^2}$

Simplify:

$d=\sqrt{(-5)^2+(6)^2}$

Square:

$d=\sqrt{25+36}$

Add:

$d=\sqrt{61}$

Take the square root. Use a calculator:

$d\approx7.8$

So, the distance between them is about 7.8 units.

And we're done!

7 0

2 years ago

Explain all parts of the equation y=mx+b *will mark brainliest*

saul85 [17]

Answer:

Step-by-step explanation:

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and b is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named as the "slope-intercept form".The coordinates of every point on the line will solve the equation if you substitute them in the equation for x and y. The slope m of this line shows its steepness, or slant - It can be calculated like this:

m = change in y-value /change in x-value

The equation of any straight line, called a linear equation, can be written as: y = mx + b ....

6 0

3 years ago

The triangles are similar. What is the value of x? Enter your answer in the box. X=

Aleks04 [339]

Answer:

x=16

Step-by-step explanation:

5times 4=20

3times 4=12

4times 4=16

4 0

2 years ago

The probability that two people have the same birthday in a room of 20 people is about 41.1%. It turns out that

salantis [7]

Answer:

a) Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

b) We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

$P(X\geq 1 ) = 1-P(X$

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

$P(X\geq 1 ) = 1-P(X$

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Part a

Let X the random variable of interest, on this case we know that:

$X \sim Binom(n=20, p=0.411)$

This random variable represent that two people have the same birthday in just one classroom

Part b

We can find first the probability that one or more pairs of people share a birthday in ONE class. And we can do this:

$P(X\geq 1 ) = 1-P(X$

And we can find the individual probability:

$P(X=0) = (20C0) (0.411)^0 (1-0.411)^{20-0}=0.0000253$

And then:

$P(X\geq 1 ) = 1-P(X$

And since we want the probability in the 3 classes we can assume independence and we got:

$P= 0.99997^3 = 0.9992$

So then the probability that one or more pairs of people share a birthday in your three classes is approximately 0.9992

4 0

3 years ago

How do you write or break down this decimal: 45.50 =

son4ous [18]

Step-by-step explanation:

45.50

Converting decimal

45.50 x 100 = 4550

4 0

3 years ago