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3 years ago

How does the surface area of the two separate figures differ from the surface area of the composite figure? Explain your answer.

Mathematics

1 answer:

Crazy boy [7]3 years ago

4 0

Answer:

here is what is the surface area of composite figure

Step-by-step explanation:

To calculate the surface area of a 3D composite object, find the outside surface area of each object and then add the surface areas together. It could also be broken into one on top and one on the bottom. Determine the surface area of the outside faces of the right prism.

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Write an equation for the

Travka [436]

Answer:

See below

Step-by-step explanation:

For the model function $f(x)=a|x-h|+k$ , $(h,k)$ is the vertex, and $a$ is the horizontal growth or shrink factor.

We know that our vertex is $(-1.5,0)$ from our graph, so we'll need to determine the value of $a$ by using one of the points on the graph:

$f(x)=a|x-h|+k\\\\f(x)=a|x-(-1.5)|+0\\\\f(x)=a|x+1.5|\\\\f(0)=a|0+1.5|\\\\3=a|1.5|\\\\3=1.5a\\\\2=a$

Thus, our equation for the given graph is $f(x)=2|x+1.5|$ .

The domain of a function is the set of all existing real x-values, thus, our domain for the given function is $(-\infty,\infty)$ , or all real x-values.

The range of a function is the set of all existing real y-values, thus, our range for the given function is $[-1,\infty)$ , or all real y-values starting with y=-1 which is included.

8 0

2 years ago

Find g(x), where g(x) is the translation 4 units down of f(x)=x2. Write your answer in the form a(x–h)2+k, where a, h, and k are

kirill [66]

Answer: g(x) = (x+3)^2

The answer should be in the form of a(x-h)2 + k.

Since we are not translating up or down, the k value is 0. We will not be adding any values to the outputs of the original equation here. a will equal 1 since no stretches are occurring. So we are left with the h value.

f(x) = x2 is given.

g(x) = a horizontal translation of 3 units left. This means that the h value is -3, because in order to move left, you need to take 3 away from all x values (inputs). So the point (2,4) on f(x) would become (-1,4) on g(x).

How do we write this?

g(x) = f(x-h) where h = -3.

So this is g(x) = f(x - (-3)) = f(x+3)

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

7 0

3 years ago

The aspect ratio is used when calculating the aerodynamic efficiency of the wing of a plane. For a standard wing area, the

Lesechka [4]

Answer:

Y=s^2/36 and y=5.7;14.3 ft

Step-by-step explanation:

A(s)=s2/36 is the function. A(s) is the aspect ratio, while s is the wingspan. A(s) = 5.7 if one glider has an aspect ratio of 5.7. We'd want to know the glider's wingspan. By replacing A(s) with Y, we get the following equation system:

Y=s^2/36
with y = 5.7
5.7 = s^2/36
5.7*36 = s^2
√205.2 = s
14.3 ft

7 0

2 years ago

You have $110 to spend at the mall. You want to buy at most 6 articles of clothing. A clothing store sells shirts for $12 and pa

gladu [14]

Answer:

Part a) The graph in the attached figure (see the explanation)

Pat b) see the explanation

Step-by-step explanation:

Part a) Write and graph a system of linear inequalities that represents this situation

Let

x ----> the number of shirts you can buy

y ----> the number of pants you can buy

we know that

The word "at most" is the same that " less than or equal to"

The word "at least" is the same that " greater than or equal to"

$x+y \leq 6$ ----> inequality A

The amount you have to spend minus the number of shirts multiplied by its price minus the number of pants multiplied by its price must be greater than or equal to $20

$110-12x-18y \geq 20$

Rewrite

$12x+18y\leq 90$ ----> inequality B

using a graphing tool

see the attached figure

Part b) How many shirts and pairs of pants can you buy at the store?

The solution of the system of inequalities is the shaded area

The solution is all whole numbers included in the shaded area

Example

(0,5),(3,3),(6,0), (3,2),...

6 0

3 years ago

Dr. Smith gives his staff a 1 3 bonus if they exceed the quarterly goal. This quarter, they exceeded the goal by $1,500. Select

Temka [501]

If the staff bonus is 1/3 of what they exceeded you would have to take the amount they exceeded by and divide it by three

1,500/3= 500

The staff bonus would be $500 :)

5 0

3 years ago